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"seequent-tension-crack-water-fixed-surface", "title": "Seequent - trinca de tração explícita preenchida com água", "analysisType": "fixed_surface", "method": "gle", "quantity": "surface_entry_x_m", "deterministic": true, "expected": 20.683100020936468, "absoluteTolerance": 1e-10, "pwaActual": 20.683100020936468, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 20.68310002093647, "kotlinDeviation": 3.552713678800501e-15, "kotlinPassed": true, "platformDelta": 3.552713678800501e-15, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-tension-crack-water-fixed-surface", "title": "Seequent - trinca de tração explícita preenchida com água", "analysisType": "fixed_surface", "method": "gle", "quantity": "surface_exit_x_m", "deterministic": true, "expected": 30.5, "absoluteTolerance": 1e-10, "pwaActual": 30.5, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 30.5, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-tension-crack-water-fixed-surface", "title": "Seequent - trinca de tração explícita preenchida com água", "analysisType": "fixed_surface", "method": "gle", "quantity": "applied_tension_crack_x_m", "deterministic": true, "expected": 20.683100020936468, "absoluteTolerance": 1e-10, "pwaActual": 20.683100020936468, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 20.683100020936468, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-tension-crack-water-fixed-surface", "title": "Seequent - trinca de tração explícita preenchida com água", "analysisType": "fixed_surface", "method": "gle", "quantity": "applied_tension_crack_depth_m", "deterministic": true, "expected": 2, "absoluteTolerance": 1e-12, "pwaActual": 2, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 2, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-tension-crack-water-fixed-surface", "title": "Seequent - trinca de tração explícita preenchida com água", "analysisType": "fixed_surface", "method": "gle", "quantity": "applied_tension_crack_water_depth_m", "deterministic": true, "expected": 2, "absoluteTolerance": 1e-12, "pwaActual": 2, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 2, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-tension-crack-water-fixed-surface", "title": "Seequent - trinca de tração explícita preenchida com água", "analysisType": "fixed_surface", "method": "gle", "quantity": "applied_tension_crack_unit_water_weight_kn_m3", "deterministic": true, "expected": 10, "absoluteTolerance": 1e-12, "pwaActual": 10, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 10, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-tension-crack-water-fixed-surface", "title": "Seequent - trinca de tração explícita preenchida com água", "analysisType": "fixed_surface", "method": "gle", "quantity": "tension_crack_water_force_kn_m", "deterministic": true, "expected": 20, "absoluteTolerance": 1e-12, "pwaActual": 20, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 20, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-tension-crack-water-fixed-surface", "title": "Seequent - trinca de tração explícita preenchida com água", "analysisType": "fixed_surface", "method": "gle", "quantity": "tension_crack_water_application_height_m", "deterministic": true, "expected": 0.6666666666666666, "absoluteTolerance": 1e-12, "pwaActual": 0.6666666666666679, "pwaDeviation": 1.2212453270876722e-15, "pwaPassed": true, "kotlinActual": 0.6666666666666679, "kotlinDeviation": 1.2212453270876722e-15, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-tension-crack-water-fixed-surface", "title": "Seequent - trinca de tração explícita preenchida com água", "analysisType": "fixed_surface", "method": "gle", "quantity": "solver_lambda", "deterministic": true, "expected": 1.146149995091884, "absoluteTolerance": 0.005, "pwaActual": 1.1415712431131018, "pwaDeviation": 0.004578751978782325, "pwaPassed": true, "kotlinActual": 1.141571243113101, "kotlinDeviation": 0.004578751978782991, "kotlinPassed": true, "platformDelta": 6.661338147750939e-16, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-51-zhu-four-layer", "title": "Problema 51 - Zhu, quatro camadas e métodos de equilíbrio de forças", "analysisType": "fixed_surface", "method": "janbu_simplified", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.112, "absoluteTolerance": 0.015, "pwaActual": 1.1027008358060877, "pwaDeviation": 0.009299164193912413, "pwaPassed": true, "kotlinActual": 1.1027008358060877, "kotlinDeviation": 0.009299164193912413, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-51-zhu-four-layer", "title": "Problema 51 - Zhu, quatro camadas e métodos de equilíbrio de forças", "analysisType": "fixed_surface", "method": "corps_2", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.422, "absoluteTolerance": 0.015, "pwaActual": 1.4337152558106478, "pwaDeviation": 0.011715255810647918, "pwaPassed": true, "kotlinActual": 1.4337152558106478, "kotlinDeviation": 0.011715255810647918, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-51-zhu-four-layer", "title": "Problema 51 - Zhu, quatro camadas e métodos de equilíbrio de forças", "analysisType": "fixed_surface", "method": "lowe_karafiath", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.288, "absoluteTolerance": 0.015, "pwaActual": 1.294486579317087, "pwaDeviation": 0.00648657931708696, "pwaPassed": true, "kotlinActual": 1.2944865793170894, "kotlinDeviation": 0.006486579317089403, "kotlinPassed": true, "platformDelta": 2.4424906541753444e-15, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-51-zhu-four-layer", "title": "Problema 51 - Zhu, quatro camadas e métodos de equilíbrio de forças", "analysisType": "fixed_surface", "method": "spencer", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.293, "absoluteTolerance": 0.015, "pwaActual": 1.2821489953378198, "pwaDeviation": 0.010851004662180141, "pwaPassed": true, "kotlinActual": 1.2821489953378202, "kotlinDeviation": 0.010851004662179697, "kotlinPassed": true, "platformDelta": 4.440892098500626e-16, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-51-zhu-four-layer", "title": "Problema 51 - Zhu, quatro camadas e métodos de equilíbrio de forças", "analysisType": "fixed_surface", "method": "gle", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.304, "absoluteTolerance": 0.015, "pwaActual": 1.2928968650890695, "pwaDeviation": 0.011103134910930512, "pwaPassed": true, "kotlinActual": 1.2928968650890749, "kotlinDeviation": 0.011103134910925183, "kotlinPassed": true, "platformDelta": 5.329070518200751e-15, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-62-pseudostatic", "title": "Problema 62 - Spencer pseudoestático", "analysisType": "fixed_surface", "method": "spencer", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.001, "absoluteTolerance": 0.002, "pwaActual": 1.001021375662188, "pwaDeviation": 0.000021375662188072297, "pwaPassed": true, "kotlinActual": 1.001021375662188, "kotlinDeviation": 0.000021375662188072297, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-68-external-water", "title": "Problema 68 / USACE E-10 - água externa", "analysisType": "fixed_surface", "method": "bishop", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.241, "absoluteTolerance": 0.007, "pwaActual": 1.2365263481635111, "pwaDeviation": 0.004473651836488957, "pwaPassed": true, "kotlinActual": 1.2365263481635111, "kotlinDeviation": 0.004473651836488957, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-68-external-water", "title": "Problema 68 / USACE E-10 - água externa", "analysisType": "fixed_surface", "method": "spencer", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.241, "absoluteTolerance": 0.007, "pwaActual": 1.2365213151724572, "pwaDeviation": 0.004478684827542878, "pwaPassed": true, "kotlinActual": 1.2365213151724581, "kotlinDeviation": 0.00447868482754199, "kotlinPassed": true, "platformDelta": 8.881784197001252e-16, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-68-external-water", "title": "Problema 68 / USACE E-10 - água externa", "analysisType": "fixed_surface", "method": "gle", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.244, "absoluteTolerance": 0.009, "pwaActual": 1.2365213151724248, "pwaDeviation": 0.007478684827575188, "pwaPassed": true, "kotlinActual": 1.2365213151724244, "kotlinDeviation": 0.007478684827575632, "kotlinPassed": true, "platformDelta": 4.440892098500626e-16, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-68-external-water", "title": "Problema 68 / USACE E-10 - água externa", "analysisType": "fixed_surface", "method": "janbu", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.385, "absoluteTolerance": 0.007, "pwaActual": 1.3915898196580416, "pwaDeviation": 0.006589819658041618, "pwaPassed": true, "kotlinActual": 1.3915898196580416, "kotlinDeviation": 0.006589819658041618, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "newmark-problem-62-yield-coefficient", "title": "Newmark - ky derivado do problema 62 por FS(kh)=1", "analysisType": "newmark_yield_coefficient", "method": "spencer", "quantity": "yield_coefficient", "deterministic": true, "expected": 0.43267171382904057, "absoluteTolerance": 0.000002, "pwaActual": 0.43267171382904057, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 0.43267171382904057, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "newmark-problem-62-yield-coefficient", "title": "Newmark - ky derivado do problema 62 por FS(kh)=1", "analysisType": "newmark_yield_coefficient", "method": "spencer", "quantity": "factor_of_safety_at_yield", "deterministic": true, "expected": 1, "absoluteTolerance": 1e-8, "pwaActual": 0.9999999924841019, "pwaDeviation": 7.515898126086995e-9, "pwaPassed": true, "kotlinActual": 0.9999999924841015, "kotlinDeviation": 7.515898459153902e-9, "kotlinPassed": true, "platformDelta": 3.3306690738754696e-16, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "newmark-analytical-linear-pulse", "title": "Newmark - pulso linear com solução fechada", "analysisType": "newmark_integration", "method": "newmark", "quantity": "displacement_m", "deterministic": true, "expected": 3.8409379166666664, "absoluteTolerance": 1e-12, "pwaActual": 3.8409379166666655, "pwaDeviation": 8.881784197001252e-16, "pwaPassed": true, "kotlinActual": 3.8409379166666655, "kotlinDeviation": 8.881784197001252e-16, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "newmark-analytical-linear-pulse", "title": "Newmark - pulso linear com solução fechada", "analysisType": "newmark_integration", "method": "newmark", "quantity": "residual_velocity_mps", "deterministic": true, "expected": 0, "absoluteTolerance": 1e-12, "pwaActual": 0, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 0, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "hoek-brown-2002-balmer-point", "title": "Hoek-Brown 2002 - parâmetros e ponto da envoltória de Balmer", "analysisType": "strength_point", "method": "hoek_brown", "quantity": "hoek_mb", "deterministic": true, "expected": 1.402560337259652, "absoluteTolerance": 1e-12, "pwaActual": 1.402560337259652, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 1.402560337259652, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "hoek-brown-2002-balmer-point", "title": "Hoek-Brown 2002 - parâmetros e ponto da envoltória de Balmer", "analysisType": "strength_point", "method": "hoek_brown", "quantity": "hoek_s", "deterministic": true, "expected": 0.002218084904320257, "absoluteTolerance": 1e-12, "pwaActual": 0.002218084904320257, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 0.002218084904320257, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "hoek-brown-2002-balmer-point", "title": "Hoek-Brown 2002 - parâmetros e ponto da envoltória de Balmer", "analysisType": "strength_point", "method": "hoek_brown", "quantity": "hoek_a", "deterministic": true, "expected": 0.5080857390944207, "absoluteTolerance": 1e-12, "pwaActual": 0.5080857390944207, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 0.5080857390944207, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "hoek-brown-2002-balmer-point", "title": "Hoek-Brown 2002 - parâmetros e ponto da envoltória de Balmer", "analysisType": "strength_point", "method": "hoek_brown", "quantity": "solved_sigma3_kpa", "deterministic": true, "expected": 50, "absoluteTolerance": 1e-9, "pwaActual": 50.00000000010167, "pwaDeviation": 1.0167156005991274e-10, "pwaPassed": true, "kotlinActual": 50.00000000010167, "kotlinDeviation": 1.0167156005991274e-10, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "hoek-brown-2002-balmer-point", "title": "Hoek-Brown 2002 - parâmetros e ponto da envoltória de Balmer", "analysisType": "strength_point", "method": "hoek_brown", "quantity": "shear_stress_kpa", "deterministic": true, "expected": 757.6557130235739, "absoluteTolerance": 1e-9, "pwaActual": 757.6557130239916, "pwaDeviation": 4.176854417892173e-10, "pwaPassed": true, "kotlinActual": 757.6557130239916, "kotlinDeviation": 4.176854417892173e-10, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "barton-choubey-1977-strength-point", "title": "Barton-Choubey 1977 - resistência de pico de uma junta", "analysisType": "strength_point", "method": "barton_choubey", "quantity": "barton_angle_deg", "deterministic": true, "expected": 40, "absoluteTolerance": 1e-12, "pwaActual": 40, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 40, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "barton-choubey-1977-strength-point", "title": "Barton-Choubey 1977 - resistência de pico de uma junta", "analysisType": "strength_point", "method": "barton_choubey", "quantity": "shear_stress_kpa", "deterministic": true, "expected": 8390.996311772798, "absoluteTolerance": 1e-9, "pwaActual": 8390.996311772798, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 8390.996311772798, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "usace-rapid-drawdown-g8-g12-point", "title": "USACE - resistência não drenada no rebaixamento rápido", "analysisType": "rapid_drawdown_strength_point", "method": "rapid_drawdown", "quantity": "rapid_kc", "deterministic": true, "expected": 1.522175893937534, "absoluteTolerance": 1e-12, "pwaActual": 1.522175893937534, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 1.522175893937534, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "usace-rapid-drawdown-g8-g12-point", "title": "USACE - resistência não drenada no rebaixamento rápido", "analysisType": "rapid_drawdown_strength_point", "method": "rapid_drawdown", "quantity": "rapid_kf", "deterministic": true, "expected": 3, "absoluteTolerance": 1e-12, "pwaActual": 3, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 3, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "usace-rapid-drawdown-g8-g12-point", "title": "USACE - resistência não drenada no rebaixamento rápido", "analysisType": "rapid_drawdown_strength_point", "method": "rapid_drawdown", "quantity": "rapid_tau_kc1_kpa", "deterministic": true, "expected": 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"absoluteTolerance": 1e-9, "pwaActual": 37, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 37, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-rapid-drawdown-simple-effective-stress-fixed-surface", "title": "SLOPE/W - rebaixamento rápido por tensões efetivas em superfície crítica fixa", "analysisType": "fixed_surface", "method": "gle", "quantity": "maximum_pore_pressure_kpa", "deterministic": true, "expected": 50.44218679377862, "absoluteTolerance": 0.02, "pwaActual": 50.45761725777182, "pwaDeviation": 0.015430463993205024, "pwaPassed": true, "kotlinActual": 50.45761725777182, "kotlinDeviation": 0.015430463993205024, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-rapid-drawdown-simple-effective-stress-fixed-surface", "title": "SLOPE/W - rebaixamento rápido por tensões efetivas em superfície crítica fixa", "analysisType": "fixed_surface", "method": "gle", "quantity": "solver_lambda", "deterministic": true, "expected": 0.3816484052882877, "absoluteTolerance": 0.002, "pwaActual": 0.3832406087789133, "pwaDeviation": 0.00159220349062561, "pwaPassed": true, "kotlinActual": 0.38324060877891336, "kotlinDeviation": 0.0015922034906256655, "kotlinPassed": true, "platformDelta": 5.551115123125783e-17, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "shepard-1968-idw2-pore-pressure-point", "title": "Shepard 1968 - interpolação IDW² de poropressão", "analysisType": "pore_pressure_grid_point", "method": "inverse_distance_squared", "quantity": "pore_pressure_kpa", "deterministic": true, "expected": 17.272727272727273, "absoluteTolerance": 1e-12, "pwaActual": 17.27272727272727, "pwaDeviation": 3.552713678800501e-15, "pwaPassed": true, "kotlinActual": 17.27272727272727, "kotlinDeviation": 3.552713678800501e-15, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-tin-delaunay-total-head-point", "title": "Slide2 - TIN/Delaunay com carga total", "analysisType": "pore_pressure_grid_point", "method": "tin_delaunay", "quantity": "pore_pressure_kpa", "deterministic": true, "expected": 58.86, "absoluteTolerance": 1e-12, "pwaActual": 58.86, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 58.86, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-10-acads5-pore-grid-fixed-surface", "title": "Slide2 Problema 10 / ACADS 5 - TIN, água empoçada e superfície crítica do grid", "analysisType": "fixed_surface", "method": "bishop", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.498, "absoluteTolerance": 0.0075, "pwaActual": 1.4929454222525018, "pwaDeviation": 0.005054577747498179, "pwaPassed": true, "kotlinActual": 1.4929454222525018, "kotlinDeviation": 0.005054577747498179, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-10-acads5-pore-grid-fixed-surface", "title": "Slide2 Problema 10 / ACADS 5 - TIN, água empoçada e superfície crítica do grid", "analysisType": "fixed_surface", "method": "spencer", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.5, "absoluteTolerance": 0.0075, "pwaActual": 1.4943147368482317, "pwaDeviation": 0.005685263151768316, "pwaPassed": true, "kotlinActual": 1.4943147368482317, "kotlinDeviation": 0.005685263151768316, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-10-acads5-pore-grid-fixed-surface", "title": "Slide2 Problema 10 / ACADS 5 - TIN, água empoçada e superfície crítica do grid", "analysisType": "fixed_surface", "method": "gle", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.5, "absoluteTolerance": 0.0075, "pwaActual": 1.4937429049176143, "pwaDeviation": 0.0062570950823857, "pwaPassed": true, "kotlinActual": 1.4937429049176116, "kotlinDeviation": 0.006257095082388364, "kotlinPassed": true, "platformDelta": 2.6645352591003757e-15, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-41-power-curve-noncircular-search", "title": "Slide2 Problema 41 - busca não circular em Power Curve", "analysisType": "critical_search", "method": "janbu_simplified", "quantity": "factor_of_safety", "deterministic": false, "expected": 1.563, "absoluteTolerance": 0.006, "pwaActual": 1.5608035147676718, "pwaDeviation": 0.0021964852323281825, "pwaPassed": true, "kotlinActual": 1.5608035147676718, "kotlinDeviation": 0.0021964852323281825, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 0.006, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-search", "title": "Seequent - busca não circular multissemente", "analysisType": "critical_search", "method": "gle", "quantity": "factor_of_safety", "deterministic": false, "expected": 1.3276299802582405, "absoluteTolerance": 0.002, "pwaActual": 1.3291751841503288, "pwaDeviation": 0.0015452038920882316, "pwaPassed": true, "kotlinActual": 1.3291751841503614, "kotlinDeviation": 0.0015452038921208722, "kotlinPassed": true, "platformDelta": 3.26405569239796e-14, "parityTolerance": 0.002, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-search", "title": "Seequent - busca não circular multissemente", "analysisType": "critical_search", "method": "gle", "quantity": "search_seed_count", "deterministic": false, "expected": 4, "absoluteTolerance": 1e-12, "pwaActual": 4, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 4, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-12, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-search", "title": "Seequent - busca não circular multissemente", "analysisType": "critical_search", "method": "gle", "quantity": "search_seed_success_count", "deterministic": false, "expected": 4, "absoluteTolerance": 1e-12, "pwaActual": 4, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 4, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-12, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-search", "title": "Seequent - busca não circular multissemente", "analysisType": "critical_search", "method": "gle", "quantity": "search_seed_min_factor_of_safety", "deterministic": false, "expected": 1.3276299802582405, "absoluteTolerance": 0.002, "pwaActual": 1.328578053877191, "pwaDeviation": 0.0009480736189504402, "pwaPassed": true, "kotlinActual": 1.32857805387717, "kotlinDeviation": 0.000948073618929568, "kotlinPassed": true, "platformDelta": 2.0872192862952943e-14, "parityTolerance": 0.002, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-search", "title": "Seequent - busca não circular multissemente", "analysisType": "critical_search", "method": "gle", "quantity": "search_seed_max_factor_of_safety", "deterministic": false, "expected": 1.3276299802582405, "absoluteTolerance": 0.002, "pwaActual": 1.3293276914418952, "pwaDeviation": 0.0016977111836546932, "pwaPassed": true, "kotlinActual": 1.3293276914418508, "kotlinDeviation": 0.0016977111836102843, "kotlinPassed": true, "platformDelta": 4.440892098500626e-14, "parityTolerance": 0.002, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-search", "title": "Seequent - busca não circular multissemente", "analysisType": "critical_search", "method": "gle", "quantity": "search_seed_factor_of_safety_range", "deterministic": false, "expected": 0, "absoluteTolerance": 0.001, "pwaActual": 0.000749637564704253, "pwaDeviation": 0.000749637564704253, "pwaPassed": true, "kotlinActual": 0.0007496375646807163, "kotlinDeviation": 0.0007496375646807163, "kotlinPassed": true, "platformDelta": 2.353672812205332e-14, "parityTolerance": 0.001, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-search", "title": "Seequent - busca não circular multissemente", "analysisType": "critical_search", "method": "gle", "quantity": "search_seed_boundary_touch_count", "deterministic": false, "expected": 0, "absoluteTolerance": 1e-12, "pwaActual": 0, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 0, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-12, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-search", "title": "Seequent - busca não circular multissemente", "analysisType": "critical_search", "method": "gle", "quantity": "search_seed_slice_nonconverged_count", "deterministic": false, "expected": 0, "absoluteTolerance": 1e-12, "pwaActual": 0, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 0, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-12, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-search", "title": "Seequent - busca não circular multissemente", "analysisType": "critical_search", "method": "gle", "quantity": "search_seed_global_minimum_claim_count", "deterministic": false, "expected": 0, "absoluteTolerance": 1e-12, "pwaActual": 0, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 0, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-12, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-fixed-surface", "title": "Seequent - superfície não circular otimizada digital", "analysisType": "fixed_surface", "method": "gle", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.3276299802582405, "absoluteTolerance": 0.0001, "pwaActual": 1.3276730176249076, "pwaDeviation": 0.00004303736666710911, "pwaPassed": true, "kotlinActual": 1.3276730176249065, "kotlinDeviation": 0.00004303736666599889, "kotlinPassed": true, "platformDelta": 1.1102230246251565e-15, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-fixed-surface", "title": "Seequent - superfície não circular otimizada digital", "analysisType": "fixed_surface", "method": "gle", "quantity": "sliding_mass_weight_kn_m", "deterministic": true, "expected": 1999.347557545945, "absoluteTolerance": 0.000001, "pwaActual": 1999.3475575459452, "pwaDeviation": 2.2737367544323206e-13, "pwaPassed": true, "kotlinActual": 1999.3475575459452, "kotlinDeviation": 2.2737367544323206e-13, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-fixed-surface", "title": "Seequent - superfície não circular otimizada digital", "analysisType": "fixed_surface", "method": "gle", "quantity": "surface_entry_x_m", "deterministic": true, "expected": 8.104458978149216, "absoluteTolerance": 1e-9, "pwaActual": 8.104458978149216, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 8.104458978149214, "kotlinDeviation": 1.7763568394002505e-15, "kotlinPassed": true, "platformDelta": 1.7763568394002505e-15, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-fixed-surface", "title": "Seequent - superfície não circular otimizada digital", "analysisType": "fixed_surface", "method": "gle", "quantity": "surface_exit_x_m", "deterministic": true, "expected": 33.85790063943177, "absoluteTolerance": 1e-9, "pwaActual": 33.85790063943177, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 33.85790063943177, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-fixed-surface", "title": "Seequent - superfície não circular otimizada digital", "analysisType": "fixed_surface", "method": "gle", "quantity": "maximum_pore_pressure_kpa", "deterministic": true, "expected": 39.421834193644735, "absoluteTolerance": 0.02, "pwaActual": 39.43389348828947, "pwaDeviation": 0.012059294644735985, "pwaPassed": true, "kotlinActual": 39.43389348828947, "kotlinDeviation": 0.012059294644735985, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-slip-surface-optimization-fixed-surface", "title": "Seequent - superfície não circular otimizada digital", "analysisType": "fixed_surface", "method": "gle", "quantity": "solver_lambda", "deterministic": true, "expected": 0.3455728750283031, "absoluteTolerance": 0.0055, "pwaActual": 0.35051903883210733, "pwaDeviation": 0.004946163803804249, "pwaPassed": true, "kotlinActual": 0.35051903883210267, "kotlinDeviation": 0.004946163803799586, "kotlinPassed": true, "platformDelta": 4.6629367034256575e-15, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-44-power-curve-fixed-surface", "title": "Slide2 Problema 44 - Power Curve em superfície circular publicada", "analysisType": "fixed_surface", "method": "janbu_simplified", "quantity": "factor_of_safety", "deterministic": true, "expected": 0.921, "absoluteTolerance": 0.001, "pwaActual": 0.9204555343972644, "pwaDeviation": 0.0005444656027356887, "pwaPassed": true, "kotlinActual": 0.9204555343972644, "kotlinDeviation": 0.0005444656027356887, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-44-power-curve-fixed-surface", "title": "Slide2 Problema 44 - Power Curve em superfície circular publicada", "analysisType": "fixed_surface", "method": "janbu_simplified", "quantity": "maximum_effective_normal_stress_kpa", "deterministic": true, "expected": 15.4, "absoluteTolerance": 0.05, "pwaActual": 15.394043957639951, "pwaDeviation": 0.005956042360049096, "pwaPassed": true, "kotlinActual": 15.394043957639951, "kotlinDeviation": 0.005956042360049096, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-54-micropile-baseline", "title": "Slide2 Problema 54 - talude sem microestaca", "analysisType": "fixed_surface", "method": "bishop", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.102, "absoluteTolerance": 0.002, "pwaActual": 1.1007116900071043, "pwaDeviation": 0.001288309992895753, "pwaPassed": true, "kotlinActual": 1.1007116900071043, "kotlinDeviation": 0.001288309992895753, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-54-micropile-supported", "title": "Slide2 Problema 54 - microestaca acoplada ao LEM", "analysisType": "fixed_surface", "method": "bishop", "quantity": "factor_of_safety", "deterministic": true, "expected": 1.193, "absoluteTolerance": 0.003, "pwaActual": 1.1951244845390376, "pwaDeviation": 0.0021244845390375744, "pwaPassed": true, "kotlinActual": 1.1951244845390376, "kotlinDeviation": 0.0021244845390375744, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-54-micropile-supported", "title": "Slide2 Problema 54 - microestaca acoplada ao LEM", "analysisType": "fixed_surface", "method": "bishop", "quantity": "support_applied_element_count", "deterministic": true, "expected": 1, "absoluteTolerance": 1e-12, "pwaActual": 1, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 1, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-54-micropile-supported", "title": "Slide2 Problema 54 - microestaca acoplada ao LEM", "analysisType": "fixed_surface", "method": "bishop", "quantity": "support_passive_element_count", "deterministic": true, "expected": 1, "absoluteTolerance": 1e-12, "pwaActual": 1, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 1, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-54-micropile-supported", "title": "Slide2 Problema 54 - microestaca acoplada ao LEM", "analysisType": "fixed_surface", "method": "bishop", "quantity": "support_applied_force_per_width_kn_m", "deterministic": true, "expected": 10.7, "absoluteTolerance": 1e-12, "pwaActual": 10.7, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 10.7, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-54-micropile-supported", "title": "Slide2 Problema 54 - microestaca acoplada ao LEM", "analysisType": "fixed_surface", "method": "bishop", "quantity": "support_available_force_per_width_kn_m", "deterministic": true, "expected": 10.7, "absoluteTolerance": 1e-12, "pwaActual": 10.7, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 10.7, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-54-micropile-supported", "title": "Slide2 Problema 54 - microestaca acoplada ao LEM", "analysisType": "fixed_surface", "method": "bishop", "quantity": "support_shear_component_kn_m", "deterministic": true, "expected": 10.7, "absoluteTolerance": 1e-12, "pwaActual": 10.7, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 10.7, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-problem-54-micropile-supported", "title": "Slide2 Problema 54 - microestaca acoplada ao LEM", "analysisType": "fixed_surface", "method": "bishop", "quantity": "support_normal_component_kn_m", "deterministic": true, "expected": 0, "absoluteTolerance": 1e-12, "pwaActual": 0, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 0, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-fixed-anchor-capacity-point", "title": "Seequent SLOPE/W - força de ancoragem por largura", "analysisType": "support_capacity_point", "method": 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"support_available_force_kn", "deterministic": true, "expected": 100, "absoluteTolerance": 1e-12, "pwaActual": 100, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 100, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "seequent-fixed-anchor-capacity-point", "title": "Seequent SLOPE/W - força de ancoragem por largura", "analysisType": "support_capacity_point", "method": "support_capacity", "quantity": "support_available_force_per_width_kn_m", "deterministic": true, "expected": 50, "absoluteTolerance": 1e-12, "pwaActual": 50, "pwaDeviation": 0, "pwaPassed": true, "kotlinActual": 50, "kotlinDeviation": 0, "kotlinPassed": true, "platformDelta": 0, "parityTolerance": 1e-10, "parityPassed": true }, { "caseId": "slide2-grouted-tieback-pullout-point", "title": "Slide2 - diagrama de tirante governado por pullout", "analysisType": "support_capacity_point", "method": "support_capacity", "quantity": 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Equação 6; Tabela 3; respostas nas páginas 5 e 9", "referenceKind": "published_hand_calculation", "originalReference": "Sharma (1996), capítulo 6 de Slope Stability and Stabilization Methods", "notes": "Sete fatias fornecidas pelo manual; comparação sem busca de superfície." }, "executions": [ { "method": "bishop", "factorOfSafety": 2.1129424598104545, "analysisType": "prebuilt_slices", "analysisSliceCount": 7 } ], "comparisons": [ { "method": "bishop", "quantity": "factor_of_safety", "expected": 2.113, "actual": 2.1129424598104545, "absoluteTolerance": 0.001, "absoluteDeviation": 0.00005754018954551299, "relativeDeviationPercent": 0.002723151421936251, "passed": true } ], "passed": true }, { "id": "slide2-hand-calculation-02-wet", "title": "Bishop simplificado - cálculo manual 2, talude molhado", "file": "cases/slide2-hand-calculation-02-wet.json", "inputSha256": "f25ee2131651971dc1ffa83f85fcdcb0ab884e9af3715170404de512418b20da", "source": { "publisher": "Rocscience", "document": "Slide Hand Calculation #2 - Simple Homogeneous Wet Slope", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Hand-Calculation-2-Simple-Homogeneous-Wet-Slope.pdf", "locator": "Tabela 1; 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"cases/seequent-tension-crack-angle-fixed-surface.json", "inputSha256": "f796f470dac613edce9b75ac42e7790eaee350eb9909badc1731cddb5b7fcb52", "source": { "publisher": "Seequent Ltd.", "document": "GeoStudio Example - Tension Cracks", "url": "https://files.seequent.com/GeoStudio/SlopeW/Tension%20cracks.gsz", "locator": "Arquivo oficial .gsz, revisão 181 de 12/03/2025; análise \"2 - Tension crack angle\"; XML principal, XML da análise, 001/slip_surface.csv, 001/column_72.csv, 001/intercolumn_72.csv e 001/lambdafos_72.csv", "referenceKind": "published_tutorial_benchmark", "originalReference": "SLOPE/W Tension Cracks example", "notes": "SHA-256 do .gsz: 2846b2eb662d1cd30ad414e00c9b015853c591b48f91b691ae357ed9b763bf07. XML principal: 70a150542e09f0a3676e017ecad56140e7205487fe787bb64a03347c08f1dfd6. XML da análise: fc50e511c40e256c4e570a8aaca6a7c591afe74e2663a34112d6504f8e1fc6f1. CSVs slip/column/intercolumn/lambdafos: f6d2ec27d2c32b0c181eedece3b39d04973bbec7a9e1d66416642a5683705096, 3d01705f5f04e4a28b1ff79605f0221e28982e1a174cb2a0790b8529032acba3, efd9d509cf254072b0ced653ffa0c683c0569fa2de45f77a0a49643ec634f2a9 e 915d8e6591b8555d1af7d48c7c9578b798c512b152e2fcc09f3e29e3d4e4054d." }, "executions": [ { "method": "gle", "factorOfSafety": 1.2248052964344718, "analysisType": "fixed_surface", "analysisSliceCount": 30, "surface": { "type": "circle", "cx": 35.99769522952983, "cy": 26.76951084789218, "r": 17.647695229529816 }, "ok": true, "blockingReason": "", "metrics": { "analysis_slice_count": 30, "sliding_mass_weight_kn_m": 576.2654522991065, "surface_entry_x_m": 20.714342842511563, "surface_exit_x_m": 30.5, "maximum_pore_pressure_kpa": 0, "solver_lambda": 0.9459592931962332, "applied_tension_crack_x_m": 20.714342842511563, "applied_tension_crack_depth_m": 2.05433676687273, "applied_tension_crack_base_limit_deg": 60, "applied_tension_crack_water_depth_m": null, "applied_tension_crack_unit_water_weight_kn_m3": null, "tension_crack_water_force_kn_m": null, "tension_crack_water_application_height_m": null, "maximum_effective_normal_stress_kpa": null, "support_applied_element_count": 0, "support_active_element_count": 0, "support_passive_element_count": 0, "support_applied_force_per_width_kn_m": 0, "support_shear_component_kn_m": 0, "support_normal_component_kn_m": 0, "support_available_force_per_width_kn_m": 0 }, "strengthDiagnostics": { "nonlinearSliceCount": 0, "modelTypes": [ "mohr_coulomb" ], "maximumStrengthIterations": 0, "maximumAbsoluteStrengthResidual": 0, "bartonCapSliceCount": 0, "bartonRatioCapSliceCount": 0, "engineeringReviewRequired": false, "rows": [] }, "supportDiagnostics": { "appliedElementCount": 0, "activeElementCount": 0, "passiveElementCount": 0, "appliedForcePerWidthKnM": 0, "units": "kN/m (largura fora do plano)", "methodAReference": "Duncan & Wright (2005), cap. 8: força ativa admissível no lado das ações.", "methodBReference": "Duncan & Wright (2005), cap. 8: capacidade passiva última no lado resistente, dividida pelo FS.", "interactionLimit": "LEM não calcula deslocamentos, deformações nem a carga real mobilizada no suporte.", "rows": [] }, "solverDiagnostics": { "method": "gle", "converged": true, "factorOfSafety": 1.2248052964344718, "analysisSliceCount": 30, "equilibrium": "force_and_moment", "forceEquilibriumEnforced": true, "momentEquilibriumEnforced": true, "intersliceFunction": "half_sine", "lambda": 0.9459592931962332, "appliedIntersliceScale": 0.9459592931962332, "lambdaInterpretation": "optimized_multiplier", "legacyMethod": false, "iterations": 4, "residualNorm": 2.2101793436762246e-12, "forceResidual": -1.0000005181557106e-9, "normalizedForceResidual": -1.7353122838893818e-12, "momentResidual": -1.246350223027548e-8, "normalizedMomentResidual": -2.2101793436762246e-12, "minimumMAlpha": 0.9203939504321068, "minimumIntersliceNormal": 1.8426305014077309, "maximumIntersliceCompression": 45.34889527283569, "maximumAbsoluteIntersliceForce": 45.34889527283569, "tensileIntersliceRatio": 0, "tensileInterfaceCount": 0, "tensileBaseSliceCount": 1, "excessiveIntersliceForce": false, "tensionDetected": true, "appliedTensionCrack": { "mode": "angle", "x": 20.714342842511563, "topY": 20, "bottomY": 17.94566323312727, "depth": 2.05433676687273, "maximumBaseInclinationDeg": 60, "waterFilled": false, "source": "Seequent SLOPE/W: remoção geométrica acima da inclinação-limite" }, "engineeringReviewRequired": true, "note": "O método satisfaz simultaneamente equilíbrio global de forças e momentos. 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7.105427357601002e-15, "relativeDeviationPercent": 3.4587451639769155e-13, "passed": true }, { "method": "gle", "quantity": "applied_tension_crack_base_limit_deg", "expected": 60, "actual": 60, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "solver_lambda", "expected": 0.9512901750806706, "actual": 0.9459592931962332, "absoluteTolerance": 0.006, "absoluteDeviation": 0.005330881884437422, "relativeDeviationPercent": 0.5603844151954325, "passed": true } ], "passed": true }, { "id": "seequent-tension-crack-line-fixed-surface", "title": "Seequent - trinca de tração explícita seca", "file": "cases/seequent-tension-crack-line-fixed-surface.json", "inputSha256": "34b15dc9471c38f0d289802595154fee97ef244ca0514e4aecbc02bf608f76e4", "source": { "publisher": "Seequent Ltd.", "document": "GeoStudio Example - Tension Cracks", "url": "https://files.seequent.com/GeoStudio/SlopeW/Tension%20cracks.gsz", "locator": "Arquivo oficial .gsz, revisão 181 de 12/03/2025; análise \"3 - Tension crack line\"; XML principal, XML da análise, 001/slip_surface.csv, 001/column_84.csv, 001/intercolumn_84.csv e 001/lambdafos_84.csv", "referenceKind": "published_tutorial_benchmark", "originalReference": "SLOPE/W Tension Cracks example", "notes": "SHA-256 do .gsz: 2846b2eb662d1cd30ad414e00c9b015853c591b48f91b691ae357ed9b763bf07. XML principal: 70a150542e09f0a3676e017ecad56140e7205487fe787bb64a03347c08f1dfd6. XML da análise: fc50e511c40e256c4e570a8aaca6a7c591afe74e2663a34112d6504f8e1fc6f1. CSVs slip/column/intercolumn/lambdafos: f180a6c5cc0ad20c7223d25c268e5857e0507a72852f4ada50a9585d7be514a6, 228425e033588667f261f2addd811c654755570ae485b731a5fd98aa886b18db, 99f8200e9fd5dba421ad88d7861f7e511943ecb473d91771c5888cfd378b1379 e f52b5bb5a174cf8eb22ee0454e2e81fb97bdf59118b287fee0a158b6dec669d3." }, "executions": [ { "method": "gle", "factorOfSafety": 1.220725297061452, "analysisType": "fixed_surface", "analysisSliceCount": 30, "surface": { "type": "circle", "cx": 34.68510093684315, "cy": 24.687704469632628, "r": 15.272319157182132 }, "ok": true, "blockingReason": "", "metrics": { "analysis_slice_count": 30, "sliding_mass_weight_kn_m": 567.4977340624312, "surface_entry_x_m": 20.954902782202836, "surface_exit_x_m": 30.5, "maximum_pore_pressure_kpa": 0, "solver_lambda": 0.9582702376834973, "applied_tension_crack_x_m": 20.954902782202836, "applied_tension_crack_depth_m": 2, "applied_tension_crack_base_limit_deg": null, "applied_tension_crack_water_depth_m": 0, "applied_tension_crack_unit_water_weight_kn_m3": 9.81, "tension_crack_water_force_kn_m": null, "tension_crack_water_application_height_m": null, "maximum_effective_normal_stress_kpa": null, "support_applied_element_count": 0, "support_active_element_count": 0, "support_passive_element_count": 0, "support_applied_force_per_width_kn_m": 0, "support_shear_component_kn_m": 0, "support_normal_component_kn_m": 0, "support_available_force_per_width_kn_m": 0 }, "strengthDiagnostics": { "nonlinearSliceCount": 0, "modelTypes": [ "mohr_coulomb" ], "maximumStrengthIterations": 0, "maximumAbsoluteStrengthResidual": 0, "bartonCapSliceCount": 0, "bartonRatioCapSliceCount": 0, "engineeringReviewRequired": false, "rows": [] }, "supportDiagnostics": { "appliedElementCount": 0, "activeElementCount": 0, "passiveElementCount": 0, "appliedForcePerWidthKnM": 0, "units": "kN/m (largura fora do plano)", "methodAReference": "Duncan & Wright (2005), cap. 8: força ativa admissível no lado das ações.", "methodBReference": "Duncan & Wright (2005), cap. 8: capacidade passiva última no lado resistente, dividida pelo FS.", "interactionLimit": "LEM não calcula deslocamentos, deformações nem a carga real mobilizada no suporte.", "rows": [] }, "solverDiagnostics": { "method": "gle", "converged": true, "factorOfSafety": 1.220725297061452, "analysisSliceCount": 30, "equilibrium": "force_and_moment", "forceEquilibriumEnforced": true, "momentEquilibriumEnforced": true, "intersliceFunction": "half_sine", "lambda": 0.9582702376834973, "appliedIntersliceScale": 0.9582702376834973, "lambdaInterpretation": "optimized_multiplier", "legacyMethod": false, "iterations": 5, "residualNorm": 2.662557307558283e-14, "forceResidual": -1.2687807402060143e-11, "normalizedForceResidual": -2.2357459141263003e-14, "momentResidual": -1.4422596450458514e-10, "normalizedMomentResidual": -2.662557307558283e-14, "minimumMAlpha": 0.8781815424884911, "minimumIntersliceNormal": 1.3414362799855037, "maximumIntersliceCompression": 47.961264250751846, "maximumAbsoluteIntersliceForce": 47.961264250751846, "tensileIntersliceRatio": 0, "tensileInterfaceCount": 0, "tensileBaseSliceCount": 0, "excessiveIntersliceForce": false, "tensionDetected": false, "appliedTensionCrack": { "mode": "explicit", "x": 20.954902782202836, "topY": 20, "bottomY": 18, "depth": 2, "waterFilled": false, "waterDepth": 0, "unitWaterWeight": 9.81, "source": "Geometria explícita observada: face vertical e fundo informados" }, "engineeringReviewRequired": false, "note": "O método satisfaz simultaneamente equilíbrio global de forças e momentos. Tração nas interfaces ou na base não é descartada silenciosamente; revise a geometria e modele uma zona de trinca quando aplicável.", "interfaces": [ { "interface": 0, "normalForce": 0, "shearForce": 0, "prescribedShearNormalRatio": 0 }, { "interface": 1, "normalForce": 3.964287921940378, "shearForce": 0.39936450932528594, "prescribedShearNormalRatio": 0.10512748584310022 }, { "interface": 2, "normalForce": 8.27969571416567, "shearForce": 1.6589581292259248, "prescribedShearNormalRatio": 0.20908989698703395 }, { "interface": 3, "normalForce": 12.824196828524585, "shearForce": 3.8186376216492057, "prescribedShearNormalRatio": 0.31073507066564393 }, { "interface": 4, "normalForce": 17.469620240131917, "shearForce": 6.845849797516368, "prescribedShearNormalRatio": 0.4089365248823753 }, { "interface": 5, "normalForce": 22.088093034561723, "shearForce": 10.638339406792412, "prescribedShearNormalRatio": 0.5026059426399012 }, { "interface": 6, "normalForce": 26.558558143256494, "shearForce": 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true }, { "method": "gle", "quantity": "solver_lambda", "expected": 0.9562621128124325, "actual": 0.9582702376834973, "absoluteTolerance": 0.0025, "absoluteDeviation": 0.0020081248710648314, "relativeDeviationPercent": 0.2099973264818365, "passed": true } ], "passed": true }, { "id": "seequent-tension-crack-water-fixed-surface", "title": "Seequent - trinca de tração explícita preenchida com água", "file": "cases/seequent-tension-crack-water-fixed-surface.json", "inputSha256": "3a9afad9afa0920f2479f0f0a35516d7e3500417a85b835d53c2617426f2c2ca", "source": { "publisher": "Seequent Ltd.", "document": "GeoStudio Example - Tension Cracks", "url": "https://files.seequent.com/GeoStudio/SlopeW/Tension%20cracks.gsz", "locator": "Arquivo oficial .gsz, revisão 181 de 12/03/2025; análise \"4 - Tension crack with water\"; XML principal, XML da análise, 001/slip_surface.csv, 001/column_72.csv, 001/intercolumn_72.csv e 001/lambdafos_72.csv", "referenceKind": "published_tutorial_benchmark", "originalReference": "SLOPE/W Tension Cracks example", "notes": "SHA-256 do .gsz: 2846b2eb662d1cd30ad414e00c9b015853c591b48f91b691ae357ed9b763bf07. XML principal: 70a150542e09f0a3676e017ecad56140e7205487fe787bb64a03347c08f1dfd6. XML da análise: fc50e511c40e256c4e570a8aaca6a7c591afe74e2663a34112d6504f8e1fc6f1. CSVs slip/column/intercolumn/lambdafos: 548f84971212ba9336438fa281ad55213ebd4cd9b06471723f8de67c4ac4d8c2, d4e9bfe533f8a7ecae41e9b0a9fa04de372ccc4b32f2e89c2f7d69bb73f81ad7, a3ffec08949578428e429b06732d31947780c9ce72dbb55c6c3e3711dd05224c e e8a4b031cbf66aed222ed3f456802e3efce9bd073ced4d235f95b1b6f3530883." }, "executions": [ { "method": "gle", "factorOfSafety": 1.1804201171068365, "analysisType": "fixed_surface", "analysisSliceCount": 30, "surface": { "type": "circle", "cx": 35.99769522952983, "cy": 26.76951084789218, "r": 17.647695229529816 }, "ok": true, "blockingReason": "", "metrics": { "analysis_slice_count": 30, "sliding_mass_weight_kn_m": 577.5500125249401, "surface_entry_x_m": 20.683100020936468, "surface_exit_x_m": 30.5, "maximum_pore_pressure_kpa": 0, "solver_lambda": 1.1415712431131018, "applied_tension_crack_x_m": 20.683100020936468, "applied_tension_crack_depth_m": 2, "applied_tension_crack_base_limit_deg": null, "applied_tension_crack_water_depth_m": 2, "applied_tension_crack_unit_water_weight_kn_m3": 10, "tension_crack_water_force_kn_m": 20, "tension_crack_water_application_height_m": 0.6666666666666679, "maximum_effective_normal_stress_kpa": null, "support_applied_element_count": 0, "support_active_element_count": 0, "support_passive_element_count": 0, "support_applied_force_per_width_kn_m": 0, "support_shear_component_kn_m": 0, "support_normal_component_kn_m": 0, "support_available_force_per_width_kn_m": 0 }, "strengthDiagnostics": { "nonlinearSliceCount": 0, "modelTypes": [ "mohr_coulomb" ], "maximumStrengthIterations": 0, "maximumAbsoluteStrengthResidual": 0, "bartonCapSliceCount": 0, "bartonRatioCapSliceCount": 0, "engineeringReviewRequired": false, "rows": [] }, "supportDiagnostics": { "appliedElementCount": 0, "activeElementCount": 0, "passiveElementCount": 0, "appliedForcePerWidthKnM": 0, "units": "kN/m (largura fora do plano)", "methodAReference": "Duncan & Wright (2005), cap. 8: força ativa admissível no lado das ações.", "methodBReference": "Duncan & Wright (2005), cap. 8: capacidade passiva última no lado resistente, dividida pelo FS.", "interactionLimit": "LEM não calcula deslocamentos, deformações nem a carga real mobilizada no suporte.", "rows": [] }, "solverDiagnostics": { "method": "gle", "converged": true, "factorOfSafety": 1.1804201171068365, "analysisSliceCount": 30, "equilibrium": "force_and_moment", "forceEquilibriumEnforced": true, "momentEquilibriumEnforced": true, "intersliceFunction": "half_sine", "lambda": 1.1415712431131018, "appliedIntersliceScale": 1.1415712431131018, "lambdaInterpretation": "optimized_multiplier", "legacyMethod": false, "iterations": 4, "residualNorm": 2.5871444964697e-14, "forceResidual": -1.494205336339905e-11, "normalizedForceResidual": -2.5871444964697e-14, "momentResidual": -5.800870894745458e-11, "normalizedMomentResidual": -1.0231262705687596e-14, "minimumMAlpha": 0.9317161638367126, "minimumIntersliceNormal": 4.247763344810649, "maximumIntersliceCompression": 50.38710881034418, "maximumAbsoluteIntersliceForce": 50.38710881034418, "tensileIntersliceRatio": 0, "tensileInterfaceCount": 0, "tensileBaseSliceCount": 0, "excessiveIntersliceForce": false, "tensionDetected": false, "appliedTensionCrack": { "mode": "explicit", "x": 20.683100020936468, "topY": 20, "bottomY": 18, "depth": 2, "waterFilled": true, "waterDepth": 2, "unitWaterWeight": 10, "source": "Geometria explícita observada: face vertical e fundo informados" }, "engineeringReviewRequired": false, "note": "O método satisfaz simultaneamente equilíbrio global de forças e momentos. 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"absoluteDeviation": 2.2737367544323206e-13, "relativeDeviationPercent": 3.936865561636769e-14, "passed": true }, { "method": "gle", "quantity": "surface_entry_x_m", "expected": 20.683100020936468, "actual": 20.683100020936468, "absoluteTolerance": 1e-10, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "surface_exit_x_m", "expected": 30.5, "actual": 30.5, "absoluteTolerance": 1e-10, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "applied_tension_crack_x_m", "expected": 20.683100020936468, "actual": 20.683100020936468, "absoluteTolerance": 1e-10, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "applied_tension_crack_depth_m", "expected": 2, "actual": 2, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "applied_tension_crack_water_depth_m", "expected": 2, "actual": 2, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "applied_tension_crack_unit_water_weight_kn_m3", "expected": 10, "actual": 10, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "tension_crack_water_force_kn_m", "expected": 20, "actual": 20, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "tension_crack_water_application_height_m", "expected": 0.6666666666666666, "actual": 0.6666666666666679, "absoluteTolerance": 1e-12, "absoluteDeviation": 1.2212453270876722e-15, "relativeDeviationPercent": 1.8318679906315083e-13, "passed": true }, { "method": "gle", "quantity": "solver_lambda", "expected": 1.146149995091884, "actual": 1.1415712431131018, "absoluteTolerance": 0.005, "absoluteDeviation": 0.004578751978782325, "relativeDeviationPercent": 0.39948976995940727, "passed": true } ], "passed": true }, { "id": "slide2-problem-51-zhu-four-layer", "title": "Problema 51 - Zhu, quatro camadas e métodos de equilíbrio de forças", "file": "cases/slide2-problem-51-zhu-four-layer.json", "inputSha256": "31f431f520cb51a86b2c0948afdd90182a568764ce9c09b4af83f383e0d5abee", "source": { "publisher": "Rocscience", "document": "Slide2 Slope Stability Verification Manual", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Slide_SlopeStabilityVerification.pdf", "locator": "Problema 51, Figuras 51.1 e 51.2, Tabelas 51.1 e 51.2", "referenceKind": "published_verification_problem", "originalReference": "Zhu, Lee & Jiang (2003), Géotechnique 53(4), 377-395", "notes": "Geometria, propriedades, círculo, trinca e nível d'água reconstruídos das figuras publicadas. Os resultados de Zhu e do Slide2 são mantidos como variantes independentes." }, "executions": [ { "method": "janbu_simplified", "factorOfSafety": 1.1027008358060877, "analysisType": "fixed_surface", "analysisSliceCount": 100, "surface": { "type": "circle", "cx": 18.058, "cy": 66.744, "r": 86 }, "ok": true, "blockingReason": "", "metrics": { "analysis_slice_count": 100, "sliding_mass_weight_kn_m": 56822.187713104715, "surface_entry_x_m": -36.175186003, "surface_exit_x_m": 93.247, "maximum_pore_pressure_kpa": 280.23729012461587, "solver_lambda": null, "applied_tension_crack_x_m": null, "applied_tension_crack_depth_m": null, "applied_tension_crack_base_limit_deg": null, "applied_tension_crack_water_depth_m": null, "applied_tension_crack_unit_water_weight_kn_m3": null, "tension_crack_water_force_kn_m": null, "tension_crack_water_application_height_m": null, "maximum_effective_normal_stress_kpa": null, "support_applied_element_count": 0, "support_active_element_count": 0, 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Método legado mantido para comparação; a documentação atual do Slide2 não recomenda seu uso como método principal. 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"strengthModel": "undrained", "baseLength": 0.5148890631737678, "baseNormalForce": 11.804450033388784, "effectiveBaseNormalForce": 11.804450033388784, "effectiveNormalStressKpa": 22.926200763765202, "availableShearResistance": 14.79181301443775, "mobilizedShearForce": 11.96244078685787, "poreWaterForce": 0, "mAlpha": 0.48793884378468244, "strengthIterations": 0, "strengthResidualKpa": 0, "strengthEquilibriumIterations": 0, "strengthEquilibriumResidual": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "passiveSupportShear": 0, "passiveSupportNormal": 0, "passiveSupportForce": 0, "engineeringReviewRequired": false }, { "slice": 96, "sourceSliceIndex": 95, "strengthModel": "undrained", "baseLength": 0.5514426754394683, "baseNormalForce": 5.604310097395879, "effectiveBaseNormalForce": 5.604310097395879, "effectiveNormalStressKpa": 10.162996712087187, "availableShearResistance": 15.841930867599498, "mobilizedShearForce": 12.811692506400865, "poreWaterForce": 0, "mAlpha": 0.4555947251673388, "strengthIterations": 0, "strengthResidualKpa": 0, "strengthEquilibriumIterations": 0, "strengthEquilibriumResidual": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "passiveSupportShear": 0, "passiveSupportNormal": 0, "passiveSupportForce": 0, "engineeringReviewRequired": false }, { "slice": 97, "sourceSliceIndex": 96, "strengthModel": "undrained", "baseLength": 0.5981197991646507, "baseNormalForce": -2.647318401346638, "effectiveBaseNormalForce": -2.647318401346638, "effectiveNormalStressKpa": -4.426067160866351, "availableShearResistance": 17.18287853104144, "mobilizedShearForce": 13.89614422347859, "poreWaterForce": 0, "mAlpha": 0.4200402235693641, "strengthIterations": 0, "strengthResidualKpa": 0, "strengthEquilibriumIterations": 0, "strengthEquilibriumResidual": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "passiveSupportShear": 0, "passiveSupportNormal": 0, "passiveSupportForce": 0, "engineeringReviewRequired": false }, { "slice": 98, "sourceSliceIndex": 97, "strengthModel": "undrained", "baseLength": 0.6605168237812288, "baseNormalForce": -14.271857346698656, "effectiveBaseNormalForce": -14.271857346698656, "effectiveNormalStressKpa": -21.607106485187227, "availableShearResistance": 18.975429949975354, "mobilizedShearForce": 15.345817105732102, "poreWaterForce": 0, "mAlpha": 0.38036029532776666, "strengthIterations": 0, "strengthResidualKpa": 0, "strengthEquilibriumIterations": 0, "strengthEquilibriumResidual": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "passiveSupportShear": 0, "passiveSupportNormal": 0, "passiveSupportForce": 0, "engineeringReviewRequired": false }, { "slice": 99, "sourceSliceIndex": 98, "strengthModel": "undrained", "baseLength": 0.7498352708584467, "baseNormalForce": -32.108835525857245, "effectiveBaseNormalForce": -32.108835525857245, "effectiveNormalStressKpa": -42.821185897400554, "availableShearResistance": 21.541384176624526, "mobilizedShearForce": 17.420956608112107, "poreWaterForce": 0, "mAlpha": 0.3350527561537105, "strengthIterations": 0, "strengthResidualKpa": 0, "strengthEquilibriumIterations": 0, "strengthEquilibriumResidual": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "passiveSupportShear": 0, "passiveSupportNormal": 0, "passiveSupportForce": 0, "engineeringReviewRequired": false }, { "slice": 100, "sourceSliceIndex": 99, "strengthModel": "undrained", "baseLength": 0.8931766789726426, "baseNormalForce": -63.7102352265439, "effectiveBaseNormalForce": -63.7102352265439, "effectiveNormalStressKpa": -71.32993586422927, "availableShearResistance": 25.65931842246387, "mobilizedShearForce": 20.75121399657057, "poreWaterForce": 0, "mAlpha": 0.2812818337927985, "strengthIterations": 0, "strengthResidualKpa": 0, "strengthEquilibriumIterations": 0, "strengthEquilibriumResidual": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "passiveSupportShear": 0, "passiveSupportNormal": 0, "passiveSupportForce": 0, "engineeringReviewRequired": false } ] } }, { "method": "janbu", "factorOfSafety": 1.3915898196580416, "analysisType": "fixed_surface", "analysisSliceCount": 100, "surface": { "type": "circle", "cx": 14.7102576, "cy": 8.5344, "r": 14.5337784 }, "ok": true, "blockingReason": "", "metrics": { "analysis_slice_count": 100, "sliding_mass_weight_kn_m": 2250.807106848617, "surface_entry_x_m": 5.179865439, "surface_exit_x_m": 28.776269004, "maximum_pore_pressure_kpa": 0, "solver_lambda": null, "applied_tension_crack_x_m": null, "applied_tension_crack_depth_m": null, "applied_tension_crack_base_limit_deg": null, "applied_tension_crack_water_depth_m": null, "applied_tension_crack_unit_water_weight_kn_m3": null, "tension_crack_water_force_kn_m": null, "tension_crack_water_application_height_m": null, "maximum_effective_normal_stress_kpa": null, "support_applied_element_count": 0, "support_active_element_count": 0, "support_passive_element_count": 0, "support_applied_force_per_width_kn_m": 0, "support_shear_component_kn_m": 0, "support_normal_component_kn_m": 0, "support_available_force_per_width_kn_m": 0 }, "strengthDiagnostics": { "nonlinearSliceCount": 0, "modelTypes": [ "undrained" ], "maximumStrengthIterations": 0, "maximumAbsoluteStrengthResidual": 0, "bartonCapSliceCount": 0, "bartonRatioCapSliceCount": 0, "engineeringReviewRequired": false, "rows": [] }, "supportDiagnostics": { "appliedElementCount": 0, "activeElementCount": 0, "passiveElementCount": 0, "appliedForcePerWidthKnM": 0, "units": "kN/m (largura fora do plano)", "methodAReference": "Duncan & Wright (2005), cap. 8: força ativa admissível no lado das ações.", "methodBReference": "Duncan & Wright (2005), cap. 8: capacidade passiva última no lado resistente, dividida pelo FS.", "interactionLimit": "LEM não calcula deslocamentos, deformações nem a carga real mobilizada no suporte.", "rows": [] }, "solverDiagnostics": null } ], "comparisons": [ { "method": "bishop", "quantity": "factor_of_safety", "expected": 1.241, "actual": 1.2365263481635111, "absoluteTolerance": 0.007, "absoluteDeviation": 0.004473651836488957, "relativeDeviationPercent": 0.3604876580571278, "passed": true }, { "method": "spencer", "quantity": "factor_of_safety", "expected": 1.241, "actual": 1.2365213151724572, "absoluteTolerance": 0.007, "absoluteDeviation": 0.004478684827542878, "relativeDeviationPercent": 0.3608932173684833, "passed": true }, { "method": "gle", "quantity": "factor_of_safety", "expected": 1.244, "actual": 1.2365213151724248, "absoluteTolerance": 0.009, "absoluteDeviation": 0.007478684827575188, "relativeDeviationPercent": 0.6011804523774267, "passed": true }, { "method": "janbu", "quantity": "factor_of_safety", "expected": 1.385, "actual": 1.3915898196580416, "absoluteTolerance": 0.007, "absoluteDeviation": 0.006589819658041618, "relativeDeviationPercent": 0.47579925328820344, "passed": true } ], "passed": true }, { "id": "newmark-problem-62-yield-coefficient", "title": "Newmark - ky derivado do problema 62 por FS(kh)=1", "file": "cases/newmark-problem-62-yield-coefficient.json", "inputSha256": "d41a25994b77af020dd3159c464d080951d722adcd6098bc7b03ee452b3295e8", "source": { "publisher": "Rocscience", "document": "Slide Slope Stability Verification Manual", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Slide_SlopeStabilityVerification.pdf", "locator": "Problema 62, Loukidis et al. (2003): kh=0,432 e Spencer FS=1,001 na superfície publicada", "referenceKind": "derived_from_published_verification_problem", "originalReference": "Newmark (1965); Loukidis et al. (2003)", "notes": "O valor de ky é uma raiz numérica derivada da curva FS(kh) do mesmo motor e da mesma superfície; a âncora externa publicada é FS=1,001 em kh=0,432." }, "executions": [ { "method": "spencer", "factorOfSafety": 0.9999999924841019, "analysisType": "newmark_yield_coefficient", "analysisSliceCount": 50, "surface": { "type": "circle", "cx": 15.319, "cy": 116.672, "r": 117.673 }, "ok": true, "blockingReason": "", "metrics": { "yield_coefficient": 0.43267171382904057, "factor_of_safety_at_yield": 0.9999999924841019, "critical_acceleration_mps2": 4.24306006242156 }, "yieldDiagnostics": { "ok": true, "method": "spencer", "fixedSurface": true, "criticalSurfaceSearchPerformed": false, "equation": "FS(kh) = 1", "yieldCoefficient": 0.43267171382904057, "criticalAccelerationMps2": 4.24306006242156, "staticFactorOfSafety": 2.620847937599626, "factorOfSafetyAtYield": 0.9999999924841019, "factorOfSafetyResidual": -7.515898126086995e-9, "iterations": 20, "evaluationCount": 39, "finalBracket": { "lowerKh": 0.4326716899871827, "lowerFactorOfSafety": 1.0000000287029394, "upperKh": 0.43267171382904057, "upperFactorOfSafety": 0.9999999924841019 }, "tolerances": { "fsTolerance": 1e-8, "khTolerance": 1e-8 }, "evaluations": [ { "kh": 0, "factorOfSafety": 2.620847937599626 }, { "kh": 0.025, "factorOfSafety": 2.4100772368708414 }, { "kh": 0.05, "factorOfSafety": 2.229135390533465 }, { "kh": 0.075, "factorOfSafety": 2.0721398238181243 }, { "kh": 0.1, "factorOfSafety": 1.9346598366308583 }, { "kh": 0.125, "factorOfSafety": 1.813294767937052 }, { "kh": 0.15, "factorOfSafety": 1.7053911017424908 }, { "kh": 0.175, "factorOfSafety": 1.6088479606491484 }, { "kh": 0.2, "factorOfSafety": 1.5219803540606973 }, { "kh": 0.225, "factorOfSafety": 1.4434211493438651 }, { "kh": 0.25, "factorOfSafety": 1.3720494350058212 }, { "kh": 0.275, "factorOfSafety": 1.3069375413230335 }, { "kh": 0.3, "factorOfSafety": 1.2473110882980711 }, { "kh": 0.325, "factorOfSafety": 1.192518585468966 }, { "kh": 0.35, "factorOfSafety": 1.1420079847383933 }, { "kh": 0.375, "factorOfSafety": 1.0953084036718055 }, { "kh": 0.4, "factorOfSafety": 1.0520157349470258 }, { "kh": 0.425, "factorOfSafety": 1.0117812314790355 }, { "kh": 0.45, "factorOfSafety": 0.9743023004927652 }, { "kh": 0.4375, "factorOfSafety": 0.9927146384823058 }, { "kh": 0.43125, "factorOfSafety": 1.0021640800049572 }, { "kh": 0.434375, "factorOfSafety": 0.9974186601117582 }, { "kh": 0.43281250000000004, "factorOfSafety": 0.9997861625490144 }, { "kh": 0.43203125000000003, "factorOfSafety": 1.0009738152785088 }, { "kh": 0.43242187500000007, "factorOfSafety": 1.000379662930649 }, { "kh": 0.43261718750000006, "factorOfSafety": 1.000082831308497 }, { "kh": 0.43271484375, "factorOfSafety": 0.9999344765789703 }, { "kh": 0.43266601562500007, "factorOfSafety": 1.0000086488552815 }, { "kh": 0.43269042968750004, "factorOfSafety": 0.9999715614451389 }, { "kh": 0.43267822265625006, "factorOfSafety": 0.9999901048321977 }, { "kh": 0.4326721191406251, "factorOfSafety": 0.9999993767642346 }, { "kh": 0.4326690673828126, "factorOfSafety": 1.0000040127898817 }, { "kh": 0.43267059326171886, "factorOfSafety": 1.0000016947720891 }, { "kh": 0.432671356201172, "factorOfSafety": 1.0000005357669193 }, { "kh": 0.4326717376708985, "factorOfSafety": 0.9999999562652664 }, { "kh": 0.43267154693603527, "factorOfSafety": 1.0000002460160151 }, { "kh": 0.4326716423034669, "factorOfSafety": 1.0000001011406214 }, { "kh": 0.4326716899871827, "factorOfSafety": 1.0000000287029394 }, { "kh": 0.43267171382904057, "factorOfSafety": 0.9999999924841019 } ], "reference": "Newmark (1965); ky é o coeficiente pseudoestático que reduz FS a 1.", "limitations": [ "Bloco rígido em uma superfície fixa; não representa deformação interna do maciço.", "ky permanece constante durante o registro e deriva de FS(kh)=1.", "Não inclui resposta dinâmica ou amplificação topográfica/deformacional.", "Não inclui poropressão cíclica, liquefação nem degradação de resistência.", "Não inclui aceleração vertical; ela exige uma formulação e histórico próprios.", "O deslocamento calculado é demanda, não critério universal de aceitabilidade." ] } } ], "comparisons": [ { "method": "spencer", "quantity": "yield_coefficient", "expected": 0.43267171382904057, "actual": 0.43267171382904057, "absoluteTolerance": 0.000002, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true, "publishedVariant": 0.432, "publishedVariantLabel": "kh publicado com Spencer FS=1,001; não é ky publicado" }, { "method": "spencer", "quantity": "factor_of_safety_at_yield", "expected": 1, "actual": 0.9999999924841019, "absoluteTolerance": 1e-8, "absoluteDeviation": 7.515898126086995e-9, "relativeDeviationPercent": 7.515898126086995e-7, "passed": true } ], "passed": true }, { "id": "newmark-analytical-linear-pulse", "title": "Newmark - pulso linear com solução fechada", "file": "cases/newmark-analytical-linear-pulse.json", "inputSha256": "7b527a7f1eb7404e77a573fa73bd4ab2f67152da7eb34a83c56592d1e1c48153", "source": { "publisher": "The Institution of Civil Engineers", "document": "Effects of earthquakes on dams and embankments", "url": "https://doi.org/10.1680/geot.1965.15.2.139", "locator": "Método do bloco deslizante de Newmark; caso sintético integrado analiticamente por trechos lineares", "referenceKind": "analytical_solution_from_published_method", "originalReference": "Newmark, N. M. (1965), Géotechnique 15(2), 139–160", "notes": "Pulso contínuo construído para iniciar em a=ky e terminar exatamente com velocidade relativa nula." }, "executions": [ { "method": "newmark", "factorOfSafety": null, "analysisType": "newmark_integration", "analysisSliceCount": 0, "ok": true, "blockingReason": "", "metrics": { "displacement_m": 3.8409379166666655, "residual_velocity_mps": 0 }, "integrationDiagnostics": { "ok": true, "integrationModel": "rigid_block_piecewise_linear_exact_events", "directionConvention": "positive_driving_downslope", "gravityMps2": 9.80665, "yieldCoefficient": 0.1, "criticalAccelerationMps2": 0.980665, "displacementAtRecordEndM": 3.8409379166666655, "permanentDisplacementM": 3.8409379166666655, "residualVelocityMps": 0, "maximumVelocityMps": 0.9806649999999999, "recordEndsWhileSliding": false, "calculationComplete": true, "motionStartCount": 1, "motionStopCount": 1, "sampling": { "pointCount": 4, "startTimeS": 0, "endTimeS": 3.5, "durationS": 3.5, "minimumStepS": 0.5, "maximumStepS": 2, "irregularSampling": true }, "warnings": [ "Passo máximo maior que 0,02 s: confirme que o registro preserva a frequência e os picos relevantes do movimento." ], "events": [ { "type": "start", "timeS": 0, "displacementM": 0 }, { "type": "stop", "timeS": 3.5, "displacementM": 3.8409379166666655 } ], "trace": [ { "timeS": 0, "displacementM": 0, "velocityMps": 0, "drivingAccelerationG": 0.1, "sliding": false }, { "timeS": 1, "displacementM": 0.3268883333333333, "velocityMps": 0.9806649999999999, "drivingAccelerationG": 0.3, "sliding": true }, { "timeS": 3, "displacementM": 3.5957716666666655, "velocityMps": 0.9806649999999997, "drivingAccelerationG": -0.1, "sliding": true }, { "timeS": 3.5, "displacementM": 3.8409379166666655, "velocityMps": 0, "drivingAccelerationG": -0.1, "sliding": false } ], "limitations": [ "Bloco rígido em uma superfície fixa; não representa deformação interna do maciço.", "ky permanece constante durante o registro e deriva de FS(kh)=1.", "Não inclui resposta dinâmica ou amplificação topográfica/deformacional.", "Não inclui poropressão cíclica, liquefação nem degradação de resistência.", "Não inclui aceleração vertical; ela exige uma formulação e histórico próprios.", "O deslocamento calculado é demanda, não critério universal de aceitabilidade." ] } } ], "comparisons": [ { "method": "newmark", "quantity": "displacement_m", "expected": 3.8409379166666664, "actual": 3.8409379166666655, "absoluteTolerance": 1e-12, "absoluteDeviation": 8.881784197001252e-16, "relativeDeviationPercent": 2.3123998329838285e-14, "passed": true }, { "method": "newmark", "quantity": "residual_velocity_mps", "expected": 0, "actual": 0, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": null, "passed": true } ], "passed": true }, { "id": "hoek-brown-2002-balmer-point", "title": "Hoek-Brown 2002 - parâmetros e ponto da envoltória de Balmer", "file": "cases/hoek-brown-2002-balmer-point.json", "inputSha256": "533b14f8efea1edda4bbf2c39028bb7a2f584e8f6ef32229a569753207d8fc7f", "source": { "publisher": "NARMS-TAC / University of Toronto", "document": "Hoek-Brown failure criterion - 2002 edition", "url": "https://www.d.umn.edu/~carranza/HB02/%5B2002%5D_EH_CCT_%26_BC_%5BHB_2002-NARMS-conference%5D.pdf", "locator": "Equações 2-5 e 8-10; parâmetros do exemplo da Seção 7", "referenceKind": "analytical_solution_from_published_method", "originalReference": "Hoek, Carranza-Torres e Corkum (2002), NARMS-TAC, p. 267-273", "notes": "O valor esperado foi calculado diretamente nas equações publicadas, sem ajuste Mohr-Coulomb. O ponto sigma3'=50 kPa foi escolhido dentro do domínio declarado." }, "executions": [ { "method": "hoek_brown", "factorOfSafety": null, "analysisType": "strength_point", "analysisSliceCount": 0, "ok": true, "blockingReason": "", "metrics": { "hoek_mb": 1.402560337259652, "hoek_s": 0.002218084904320257, "hoek_a": 0.5080857390944207, "solved_sigma3_kpa": 50.00000000010167, "shear_stress_kpa": 757.6557130239916, "barton_angle_deg": null }, "strengthDiagnostics": { "ok": true, "shearStressKpa": 757.6557130239916, "tangentSlope": 1.6123015602738529, "effectiveNormalStressKpa": 265.8845785298288, "strengthIterations": 39, "strengthResidualKpa": 2.594333636807278e-10, "solvedSigma3Kpa": 50.00000000010167, "shearForce": 757.6557130239916 } } ], "comparisons": [ { "method": "hoek_brown", "quantity": "hoek_mb", "expected": 1.402560337259652, "actual": 1.402560337259652, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "hoek_brown", "quantity": "hoek_s", "expected": 0.002218084904320257, "actual": 0.002218084904320257, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "hoek_brown", "quantity": "hoek_a", "expected": 0.5080857390944207, "actual": 0.5080857390944207, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "hoek_brown", "quantity": "solved_sigma3_kpa", "expected": 50, "actual": 50.00000000010167, "absoluteTolerance": 1e-9, "absoluteDeviation": 1.0167156005991274e-10, "relativeDeviationPercent": 2.0334312011982547e-10, "passed": true }, { "method": "hoek_brown", "quantity": "shear_stress_kpa", "expected": 757.6557130235739, "actual": 757.6557130239916, "absoluteTolerance": 1e-9, "absoluteDeviation": 4.176854417892173e-10, "relativeDeviationPercent": 5.5128659971738557e-11, "passed": true } ], "passed": true }, { "id": "barton-choubey-1977-strength-point", "title": "Barton-Choubey 1977 - resistência de pico de uma junta", "file": "cases/barton-choubey-1977-strength-point.json", "inputSha256": "8bb1183e6aebbd30652296145bbb2873f3e466ec636fff172eeed58b1b83c412", "source": { "publisher": "Springer / Rock Mechanics", "document": "The shear strength of rock joints in theory and practice", "url": "https://doi.org/10.1007/BF01261801", "locator": "Lei empírica de atrito baseada em JRC, JCS e ângulo de atrito residual", "referenceKind": "analytical_solution_from_published_method", "originalReference": "Barton e Choubey (1977), Rock Mechanics 10, p. 1-54", "notes": "Caso analítico construído sem ativar os limites numéricos adicionais do RockGeo: JCS/sigma_n'=10 e ângulo total=40 graus." }, "executions": [ { "method": "barton_choubey", "factorOfSafety": null, "analysisType": "strength_point", "analysisSliceCount": 0, "ok": true, "blockingReason": "", "metrics": { "solved_sigma3_kpa": null, "shear_stress_kpa": 8390.996311772798, "barton_angle_deg": 40 }, "strengthDiagnostics": { "ok": true, "shearStressKpa": 8390.996311772798, "tangentSlope": 0.7099319849151347, "effectiveNormalStressKpa": 10000, "bartonAngleDeg": 40, "bartonCapApplied": false, "bartonRatioCapApplied": false, "engineeringReviewRequired": false, "shearForce": 8390.996311772798 } } ], "comparisons": [ { "method": "barton_choubey", "quantity": "barton_angle_deg", "expected": 40, "actual": 40, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "barton_choubey", "quantity": "shear_stress_kpa", "expected": 8390.996311772798, "actual": 8390.996311772798, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true } ], "passed": true }, { "id": "usace-rapid-drawdown-g8-g12-point", "title": "USACE - resistência não drenada no rebaixamento rápido", "file": "cases/usace-rapid-drawdown-g8-g12-point.json", "inputSha256": "7c4cfa74b6b992b0a3ef60f08dda1ccc67d2c4989aa83b139973f3a7e263db5d", "source": { "publisher": "U.S. Army Corps of Engineers", "document": "EM 1110-2-1902 - Slope Stability", "url": "https://www.publications.usace.army.mil/Portals/76/Publications/EngineerManuals/EM_1110-2-1902.pdf", "locator": "Apêndice G, procedimento melhorado, Equações G-8 a G-12", "referenceKind": "analytical_solution_from_published_method", "originalReference": "USACE EM 1110-2-1902 (2003), Appendix G", "notes": "Estado sintético transparente para verificar a transformação de tensões e a interpolação entre Kc=1 e Kc=Kf." }, "executions": [ { "method": "rapid_drawdown", "factorOfSafety": null, "analysisType": "rapid_drawdown_strength_point", "analysisSliceCount": 0, "ok": true, "blockingReason": "", "metrics": { "rapid_kc": 1.522175893937534, "rapid_kf": 3, "rapid_tau_kc1_kpa": 22.632698070846498, "rapid_tau_kf_kpa": 57.735026918962575, "rapid_undrained_strength_kpa": 31.797493043623646 }, "rapidDrawdownDiagnostics": { "sigmaC": 100, "tauC": 20, "rawKc": 1.522175893937534, "kc": 1.522175893937534, "kf": 3, "kcClamped": false, "tauKc1": 22.632698070846498, "tauKf": 57.735026918962575, "undrainedStrength": 31.797493043623646, "equationReference": "USACE EM 1110-2-1902, Eqs. G-9 a G-12" } } ], "comparisons": [ { "method": "rapid_drawdown", "quantity": "rapid_kc", "expected": 1.522175893937534, "actual": 1.522175893937534, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "rapid_drawdown", "quantity": "rapid_kf", "expected": 3, "actual": 3, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "rapid_drawdown", "quantity": "rapid_tau_kc1_kpa", "expected": 22.632698070846498, "actual": 22.632698070846498, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "rapid_drawdown", "quantity": "rapid_tau_kf_kpa", "expected": 57.735026918962575, "actual": 57.735026918962575, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "rapid_drawdown", "quantity": "rapid_undrained_strength_kpa", "expected": 31.797493043623646, "actual": 31.797493043623646, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true } ], "passed": true }, { "id": "usace-rapid-drawdown-three-stage", "title": "USACE - exemplo completo de rebaixamento rápido em três etapas", "file": "cases/usace-rapid-drawdown-three-stage.json", "inputSha256": "93d30cfa515c881dd5a24605c07e7e0a6f1c3c8c5a61ea34b974e63ca1ef87be", "source": { "publisher": "U.S. Army Corps of Engineers", "document": "EM 1110-2-1902 - Slope Stability", "url": "https://www.publications.usace.army.mil/Portals/76/Publications/EngineerManuals/EM_1110-2-1902.pdf", "locator": "Apêndice G, Figuras G-5, G-6, G-12 e G-13; Seção G-7", "referenceKind": "derived_from_published_verification_problem", "originalReference": "USACE EM 1110-2-1902 (2003), improved rapid drawdown, Modified Swedish/Spencer example", "notes": "Geometria e propriedades foram convertidas para SI. A solicitação nominal de 12 fatias é refinada deterministicamente nos contatos geométricos e produz 14 fatias computacionais; o manual usa 12 fatias com larguras publicadas diferentes. As tolerâncias incluem essa diferença de discretização." }, "executions": [ { "method": "spencer", "factorOfSafety": 1.439576985697149, "analysisType": "rapid_drawdown_surface", "analysisSliceCount": 14, "surface": { "type": "circle", "cx": 51.6636, "cy": 64.008, "r": 64.008 }, "ok": true, "blockingReason": "", "solverDiagnostics": { "method": "spencer", "converged": true, "factorOfSafety": 1.439576985697149, "analysisSliceCount": 14, "equilibrium": "force_and_moment", "forceEquilibriumEnforced": true, "momentEquilibriumEnforced": true, "intersliceFunction": "constant", "lambda": 0.2457344587238394, "appliedIntersliceScale": 0.2457344587238394, "lambdaInterpretation": "optimized_multiplier", "legacyMethod": false, "iterations": 4, "residualNorm": 5.722759050393469e-13, "forceResidual": 2.59560151107173e-9, "normalizedForceResidual": 9.716140322522941e-14, "momentResidual": 0.000001314777023253555, "normalizedMomentResidual": 5.722759050393469e-13, "minimumMAlpha": 0.6880862853118151, "minimumIntersliceNormal": 0.00002795896388084991, "maximumIntersliceCompression": 3968.8570010803055, "maximumAbsoluteIntersliceForce": 3968.8570010803055, "tensileIntersliceRatio": 0, "tensileInterfaceCount": 0, "tensileBaseSliceCount": 0, "excessiveIntersliceForce": false, "tensionDetected": false, "appliedTensionCrack": null, "engineeringReviewRequired": false, "note": "O método satisfaz simultaneamente equilíbrio global de forças e momentos. 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rebaixamento rápido por tensões efetivas em superfície crítica fixa", "file": "cases/seequent-rapid-drawdown-simple-effective-stress-fixed-surface.json", "inputSha256": "90216a995199b9f02d680395619c77b97d9364801d4525c20fc121fac31ff3fe", "source": { "publisher": "Seequent Ltd.", "document": "Rapid Drawdown with Simple Effective Stresses", "url": "https://files.seequent.com/GeoStudio/SlopeW/Rapid%20Drawdown%20with%20Simple%20Effective%20Stresses.gsz", "locator": "Arquivo oficial .gsz, revisão 177 de 12/03/2025; análise \"2 - After rapid drawdown\"; XML principal, XML da análise, 001/slip_surface.csv, 001/column_281.csv e 001/intercolumn_281.csv", "referenceKind": "published_tutorial_benchmark", "originalReference": "GeoStudio Example File - Rapid Drawdown with Simple Effective Stresses", "notes": "SHA-256 do artefato oficial consultado: a08678b2916af2cac92458cfa20a0ba10bc11cd2ead88d1ca15114d7d052fa69. 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"method": "gle", "quantity": "maximum_pore_pressure_kpa", "expected": 50.44218679377862, "actual": 50.45761725777182, "absoluteTolerance": 0.02, "absoluteDeviation": 0.015430463993205024, "relativeDeviationPercent": 0.030590394616095765, "passed": true }, { "method": "gle", "quantity": "solver_lambda", "expected": 0.3816484052882877, "actual": 0.3832406087789133, "absoluteTolerance": 0.002, "absoluteDeviation": 0.00159220349062561, "relativeDeviationPercent": 0.4171911813499913, "passed": true } ], "passed": true }, { "id": "shepard-1968-idw2-pore-pressure-point", "title": "Shepard 1968 - interpolação IDW² de poropressão", "file": "cases/shepard-1968-idw2-pore-pressure-point.json", "inputSha256": "0bb5b021522cc15ea26035d2adeb639274b3e7d3553398c8934807a8d681ee0d", "source": { "publisher": "Association for Computing Machinery", "document": "A two-dimensional interpolation function for irregularly-spaced data", "url": "https://doi.org/10.1145/800186.810616", "locator": "ACM National Conference 1968, p. 517-524; média ponderada pelo inverso da distância", "referenceKind": "analytical_solution_from_published_method", "originalReference": "Shepard, D. (1968), DOI 10.1145/800186.810616", "notes": "O RockGeo usa a forma global IDW com potência 2 e bloqueia extrapolação fora do casco convexo. O ponto foi escolhido dentro do triângulo de dados." }, "executions": [ { "method": "inverse_distance_squared", "factorOfSafety": null, "analysisType": "pore_pressure_grid_point", "analysisSliceCount": 0, "ok": true, "blockingReason": "", "metrics": { "pore_pressure_kpa": 17.27272727272727 }, "porePressureDiagnostics": { "validation": { "valid": true, "blockingIssues": [], "warnings": [], "points": [ { "x": 0, "y": 0, "value": 10 }, { "x": 2, "y": 0, "value": 20 }, { "x": 0, "y": 4, "value": 40 } ], "hull": [ { "x": 0, "y": 0, "value": 10 }, { "x": 2, "y": 0, "value": 20 }, { "x": 0, "y": 4, "value": 40 } ], "normalized": { "valueType": "pore_pressure", "units": "kPa", "interpolation": "inverse_distance_squared", "outsideConvexHull": "block", "negativePressurePolicy": "clamp_zero", "gammaFluidKnM3": 9.81, "zeroAboveWaterTable": false } }, "interpolation": { "method": "inverse_distance_squared", "pointCount": 3, "triangleCount": 0, "outsideConvexHull": "block" }, "query": { "x": 1, "y": 1 }, "porePressureKpa": 17.27272727272727 } } ], "comparisons": [ { "method": "inverse_distance_squared", "quantity": "pore_pressure_kpa", "expected": 17.272727272727273, "actual": 17.27272727272727, "absoluteTolerance": 1e-12, "absoluteDeviation": 3.552713678800501e-15, "relativeDeviationPercent": 2.056834235095027e-14, "passed": true } ], "passed": true }, { "id": "slide2-tin-delaunay-total-head-point", "title": "Slide2 - TIN/Delaunay com carga total", "file": "cases/slide2-tin-delaunay-total-head-point.json", "inputSha256": "fe55d88554614ee0ecd746bbff0457cb0e4f4be5beadf48b44ab3fd5a111d660", "source": { "publisher": "Rocscience Inc.", "document": "Slide2 Documentation - Interpolation Method", "url": "https://www.rocscience.com/help/slide2/documentation/slide-model/project-settings/groundwater/interpolation-method", "locator": "TIN Triangulation; plano pelos três vértices e interpolação linear", "referenceKind": "analytical_solution_from_published_method", "originalReference": "Slide2 Slope Stability Verification Manual, Problema #10: malha de poropressão com TIN", "notes": "Os quatro nós pertencem ao plano H=5+2x+3y. Como ambos os triângulos Delaunay reproduzem o mesmo plano, o resultado independe da diagonal escolhida no quadrado." }, "executions": [ { "method": "tin_delaunay", "factorOfSafety": null, "analysisType": "pore_pressure_grid_point", "analysisSliceCount": 0, "ok": true, "blockingReason": "", "metrics": { "pore_pressure_kpa": 58.86 }, "porePressureDiagnostics": { "validation": { "valid": true, "blockingIssues": [], "warnings": [], "points": [ { "x": 0, "y": 0, "value": 5 }, { "x": 1, "y": 0, "value": 7 }, { "x": 0, "y": 1, "value": 8 }, { "x": 1, "y": 1, "value": 10 } ], "hull": [ { "x": 0, "y": 0, "value": 5 }, { "x": 1, "y": 0, "value": 7 }, { "x": 1, "y": 1, "value": 10 }, { "x": 0, "y": 1, "value": 8 } ], "normalized": { "valueType": "total_head", "units": "m", "interpolation": "tin_delaunay", "outsideConvexHull": "block", "negativePressurePolicy": "clamp_zero", "gammaFluidKnM3": 9.81, "zeroAboveWaterTable": false } }, "interpolation": { "method": "tin_delaunay", "pointCount": 4, "triangleCount": 2, "outsideConvexHull": "block" }, "query": { "x": 0.25, "y": 0.25 }, "porePressureKpa": 58.86 } } ], "comparisons": [ { "method": "tin_delaunay", "quantity": "pore_pressure_kpa", "expected": 58.86, "actual": 58.86, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true } ], "passed": true }, { "id": "slide2-problem-10-acads5-pore-grid-fixed-surface", "title": "Slide2 Problema 10 / ACADS 5 - TIN, água empoçada e superfície crítica do grid", "file": "cases/slide2-problem-10-acads5-pore-grid-fixed-surface.json", "inputSha256": "b94ab501ec7b1b0001ecc7346b04b4fb83122e78e8d2068d89d4445ad19e8d7c", "source": { "publisher": "Rocscience Inc.", "document": "Slide2 Slope Stability Verification Manual", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Slide_SlopeStabilityVerification.pdf", "locator": "Problema 10 / ACADS 5, páginas 50-52; modelo oficial slope stability #010.slim da versão 9.043", "referenceKind": "published_verification_problem", "originalReference": "Giam & Donald (1989), Results of slope stability evaluations", "notes": "A entrada foi transcrita do modelo oficial atual, SHA-256 da parte .sli efdfd00c7a80df012b22c8be3ff8ad2818ce7bac37e09be1c100816de77c8971. 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XML principal: 991b5f81087159d9f39ac76dceb2ee070ecdaf1c0907f0dbab076f9d17cf7cf7. XML da análise: 32ea2b318a7680ba8ac79220bc53175bbe19b2da33ef0b95998c02478823ccbc. CSVs slip/column/intercolumn/optimization: 8ff5322f68407d392b50b615bdf493032e3fdb8f4767ef22326cde3160f9682e, 91bbb85343d92c49a2b09290978f1a3ff0269cbd61de0e780ef4eac828bc77b3, 0899e61809e566f6edaf4bb98e11791512d06cc08210a8d2a20c4753f5a613b9 e 1627aa7639c611bdd3860e95f8d36872c58e322d4c770026798b941e704f1f09." }, "executions": [ { "method": "gle", "factorOfSafety": 1.3276730176249076, "analysisType": "fixed_surface", "analysisSliceCount": 37, "surface": { "type": "polyline", "points": [ [ 8.104458978149216, 20 ], [ 8.875322, 18.845979 ], [ 9.3634, 18.095391 ], [ 10, 17.143655862822744 ], [ 10.451299, 16.468951 ], [ 11, 15.69109810005855 ], [ 11.498276, 14.984729 ], [ 11.612301501024051, 14.838868026046303 ], [ 12.171577, 14.123445 ], [ 12.96207, 13.258124 ], [ 13.6417245, 12.5837505 ], [ 14.321379, 11.909377 ], [ 15.085011, 11.26764 ], [ 15.848643, 10.625904 ], [ 16.647791, 10.005628 ], [ 17.31851368344088, 9.70124 ], [ 17.976835, 9.40248 ], [ 18.6755, 9.1310125 ], [ 19.374165, 8.859545 ], [ 20.176715, 8.604282000000001 ], [ 20.979265, 8.349019 ], [ 21.806848000000002, 8.1414215 ], [ 22.634431, 7.933824 ], [ 23.365082, 7.801657 ], [ 24.095733, 7.66949 ], [ 25.005048, 7.544578 ], [ 25.714805, 7.487006 ], [ 26.424562, 7.429434 ], [ 27.144515, 7.4367535 ], [ 27.864468, 7.444073 ], [ 28.577523999999997, 7.5638835 ], [ 29.29058, 7.683694 ], [ 30, 7.947636565569603 ], [ 31.054469, 8.339956 ], [ 31.9051405, 8.7575385 ], [ 32.755812, 9.175121 ], [ 33.85790063943177, 10 ] ] }, "ok": true, "blockingReason": "", "metrics": { "analysis_slice_count": 37, "sliding_mass_weight_kn_m": 1999.3475575459452, "surface_entry_x_m": 8.104458978149216, "surface_exit_x_m": 33.85790063943177, "maximum_pore_pressure_kpa": 39.43389348828947, "solver_lambda": 0.35051903883210733, "applied_tension_crack_x_m": null, "applied_tension_crack_depth_m": null, "applied_tension_crack_base_limit_deg": null, "applied_tension_crack_water_depth_m": null, "applied_tension_crack_unit_water_weight_kn_m3": null, "tension_crack_water_force_kn_m": null, "tension_crack_water_application_height_m": null, "maximum_effective_normal_stress_kpa": null, "support_applied_element_count": 0, "support_active_element_count": 0, "support_passive_element_count": 0, "support_applied_force_per_width_kn_m": 0, "support_shear_component_kn_m": 0, "support_normal_component_kn_m": 0, "support_available_force_per_width_kn_m": 0 }, "strengthDiagnostics": { "nonlinearSliceCount": 0, "modelTypes": [ "mohr_coulomb" ], "maximumStrengthIterations": 0, "maximumAbsoluteStrengthResidual": 0, "bartonCapSliceCount": 0, "bartonRatioCapSliceCount": 0, "engineeringReviewRequired": false, "rows": [] }, "supportDiagnostics": { "appliedElementCount": 0, "activeElementCount": 0, "passiveElementCount": 0, "appliedForcePerWidthKnM": 0, "units": "kN/m (largura fora do plano)", "methodAReference": "Duncan & Wright (2005), cap. 8: força ativa admissível no lado das ações.", "methodBReference": "Duncan & Wright (2005), cap. 8: capacidade passiva última no lado resistente, dividida pelo FS.", "interactionLimit": "LEM não calcula deslocamentos, deformações nem a carga real mobilizada no suporte.", "rows": [] }, "solverDiagnostics": { "method": "gle", "converged": true, "factorOfSafety": 1.3276730176249076, "analysisSliceCount": 37, "equilibrium": "force_and_moment", "forceEquilibriumEnforced": true, "momentEquilibriumEnforced": true, "intersliceFunction": "half_sine", "lambda": 0.35051903883210733, "appliedIntersliceScale": 0.35051903883210733, "lambdaInterpretation": "optimized_multiplier", "legacyMethod": false, "iterations": 5, "residualNorm": 2.6562881331163346e-9, "forceResidual": -0.00000531084319108442, "normalizedForceResidual": -2.6562881331163346e-9, "momentResidual": -0.00010349051578373292, "normalizedMomentResidual": -2.0099117035588204e-9, "minimumMAlpha": 0.5400140330240936, "minimumIntersliceNormal": -6.0789371073374925, "maximumIntersliceCompression": 228.55552361509427, "maximumAbsoluteIntersliceForce": 228.55552361509427, "tensileIntersliceRatio": 0.02659720058910021, "tensileInterfaceCount": 2, "tensileBaseSliceCount": 1, "excessiveIntersliceForce": false, "tensionDetected": true, "appliedTensionCrack": null, "engineeringReviewRequired": true, "note": "O método satisfaz simultaneamente equilíbrio global de forças e momentos. 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"comparisons": [ { "method": "gle", "quantity": "factor_of_safety", "expected": 1.3276299802582405, "actual": 1.3276730176249076, "absoluteTolerance": 0.0001, "absoluteDeviation": 0.00004303736666710911, "relativeDeviationPercent": 0.0032416687862636103, "passed": true }, { "method": "gle", "quantity": "sliding_mass_weight_kn_m", "expected": 1999.347557545945, "actual": 1999.3475575459452, "absoluteTolerance": 0.000001, "absoluteDeviation": 2.2737367544323206e-13, "relativeDeviationPercent": 1.1372393688384868e-14, "passed": true }, { "method": "gle", "quantity": "surface_entry_x_m", "expected": 8.104458978149216, "actual": 8.104458978149216, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "surface_exit_x_m", "expected": 33.85790063943177, "actual": 33.85790063943177, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "maximum_pore_pressure_kpa", "expected": 39.421834193644735, "actual": 39.43389348828947, "absoluteTolerance": 0.02, "absoluteDeviation": 0.012059294644735985, "relativeDeviationPercent": 0.030590394616088375, "passed": true }, { "method": "gle", "quantity": "solver_lambda", "expected": 0.3455728750283031, "actual": 0.35051903883210733, "absoluteTolerance": 0.0055, "absoluteDeviation": 0.004946163803804249, "relativeDeviationPercent": 1.4312939936038522, "passed": true } ], "passed": true }, { "id": "slide2-problem-44-power-curve-fixed-surface", "title": "Slide2 Problema 44 - Power Curve em superfície circular publicada", "file": "cases/slide2-problem-44-power-curve-fixed-surface.json", "inputSha256": "50e512f2021e6b7e6e609ff32f7b1b13d91a6d44f080b17245cc1a9f011d5d08", "source": { "publisher": "Rocscience Inc.", "document": "Slide2 Slope Stability Verification Manual", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Slide_SlopeStabilityVerification.pdf", "locator": "Problema 44, páginas 164-166; Figuras 44.1-44.2 e Tabelas 44.1-44.2", "referenceKind": "derived_from_published_verification_problem", "originalReference": "Baker (2003), exemplo 1 citado no manual; publicação correlata: Baker (2004), “Nonlinear Mohr Envelopes Based on Triaxial Data”, DOI 10.1061/(ASCE)1090-0241(2004)130:5(498)", "notes": "A geometria, os parâmetros Power Curve, a superfície crítica Janbu e os resultados foram transcritos do manual oficial. A Tabela 44.1 imprime γ=19,5 kN/m³, mas esse valor não reproduz a própria Tabela 44.2; γ=18 kN/m³, informado para os exemplos no artigo original e também documentado na reprodução pública independente XSLOPE VP44, fecha simultaneamente FS e σ'n,max. O benchmark registra essa errata de forma explícita." }, "executions": [ { "method": "janbu_simplified", "factorOfSafety": 0.9204555343972644, "analysisType": "fixed_surface", "analysisSliceCount": 25, "surface": { "type": "circle", "cx": -2.859, "cy": 9.936, "r": 10.283 }, "ok": true, "blockingReason": "", "metrics": { "analysis_slice_count": 25, "sliding_mass_weight_kn_m": 117.42648916831254, "surface_entry_x_m": 0.091504439, "surface_exit_x_m": 6.640894368, "maximum_pore_pressure_kpa": 0, "solver_lambda": null, "applied_tension_crack_x_m": null, "applied_tension_crack_depth_m": null, "applied_tension_crack_base_limit_deg": null, "applied_tension_crack_water_depth_m": null, "applied_tension_crack_unit_water_weight_kn_m3": null, "tension_crack_water_force_kn_m": null, "tension_crack_water_application_height_m": null, "maximum_effective_normal_stress_kpa": 15.394043957639951, "support_applied_element_count": 0, "support_active_element_count": 0, "support_passive_element_count": 0, 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"locator": "Problema 54, páginas 196-198; Figura 54.1, Tabela 54.1, Tabela 54.2 e Figura 54.2", "referenceKind": "published_verification_problem", "originalReference": "Yamagami, Jiang e Ueno (2000), A limit equilibrium stability analysis of slope with stabilizing piles, Slope Stability 2000, pp. 343-354", "notes": "A Figura 54.2 publica a superfície Bishop sem estaca: centro (2,674; 7,573), raio 8,031 m, extremos (0,000; 0,000) e (9,867; 4,000), com FS Slide2=1,102." }, "executions": [ { "method": "bishop", "factorOfSafety": 1.1007116900071043, "analysisType": "fixed_surface", "analysisSliceCount": 100, "surface": { "type": "circle", "cx": 2.674, "cy": 7.573, "r": 8.031 }, "ok": true, "blockingReason": "", "metrics": { "analysis_slice_count": 100, "sliding_mass_weight_kn_m": 289.34425842977265, "surface_entry_x_m": 0.000282029, "surface_exit_x_m": 9.86640099, "maximum_pore_pressure_kpa": 0, "solver_lambda": null, "applied_tension_crack_x_m": null, "applied_tension_crack_depth_m": 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"url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Slide_SlopeStabilityVerification.pdf", "locator": "Problema 54, páginas 196-198; Figura 54.1, Tabela 54.1, Tabela 54.2 e Figura 54.3", "referenceKind": "published_verification_problem", "originalReference": "Yamagami, Jiang e Ueno (2000), A limit equilibrium stability analysis of slope with stabilizing piles, Slope Stability 2000, pp. 343-354", "notes": "A fonte define uma fileira passiva de microestacas em x=9 m, de y=4 a -2 m, com espaçamento de 1 m e resistência transversal de 10,7 kN. 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"rows": [ { "slice": 91, "id": "MICROPILE-P54", "type": "pile_micro_pile", "application": "passive", "forcePerWidthKnM": 10.7, "availableForcePerWidthKnM": 10.7, "shearComponentKnM": 10.7, "normalComponentKnM": 0, "spacingM": 1, "stableLengthM": 4.313971947924429, "bondedLengthM": null, "bondedLengthStableM": null, "bondedLengthSlidingM": null, "capacityBasis": "ultimate", "governingFailureMode": "pile_shear", "capacityReference": "Slide2 Slope Stability Verification Manual, Problema 54, seção 54.2", "capacityCondition": "short_term" } ] }, "solverDiagnostics": null } ], "comparisons": [ { "method": "bishop", "quantity": "factor_of_safety", "expected": 1.193, "actual": 1.1951244845390376, "absoluteTolerance": 0.003, "absoluteDeviation": 0.0021244845390375744, "relativeDeviationPercent": 0.1780791734314815, "passed": true }, { "method": "bishop", "quantity": "support_applied_element_count", "expected": 1, "actual": 1, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, 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"absoluteDeviation": 0, "relativeDeviationPercent": null, "passed": true } ], "passed": true }, { "id": "seequent-fixed-anchor-capacity-point", "title": "Seequent SLOPE/W - força de ancoragem por largura", "file": "cases/seequent-fixed-anchor-capacity-point.json", "inputSha256": "b1308cbdae7fa0ed69810504ad09ccf65715f61849ddb6752d91e02d3f414e24", "source": { "publisher": "Seequent, The Bentley Subsurface Company", "document": "GeoStudio Example - Reinforcement with User Defined", "url": "https://files.seequent.com/GeoStudio/SlopeW/Reinforcement%20with%20User%20Defined.pdf", "locator": "Caso 1, p. 2 e 6, Equações 1 e 2", "referenceKind": "published_verification_problem", "originalReference": "SLOPE/W example file, Reinforcement with User Defined, Case 1", "notes": "O exemplo independente publica capacidade de 120 kN, espaçamento de 2 m e fator de redução 1,2, resultando em 50 kN/m." }, "executions": [ { "method": "support_capacity", "factorOfSafety": null, "analysisType": 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}, { "method": "support_capacity", "quantity": "support_force_per_width_kn_m", "expected": 50, "actual": 50, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_available_force_kn", "expected": 100, "actual": 100, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_available_force_per_width_kn_m", "expected": 50, "actual": 50, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true } ], "passed": true }, { "id": "slide2-grouted-tieback-pullout-point", "title": "Slide2 - diagrama de tirante governado por pullout", "file": "cases/slide2-grouted-tieback-pullout-point.json", "inputSha256": "e599193585f8a495011a574f31f0279caf6999dfe38faf79317768f0c0b72983", "source": { "publisher": "Rocscience Inc.", "document": "Slide2 Documentation - Grouted 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Para p=2, q=3, a densidade normalizada é 12x(1-x)^2 e a integral em x=0,5 vale exatamente 0,6875." }, "executions": [ { "method": "beta_cdf", "factorOfSafety": null, "analysisType": "reliability_statistics_point", "analysisSliceCount": 0, "ok": true, "blockingReason": "", "metrics": { "beta_cdf_probability": 0.6875000000000009 }, "reliabilityDiagnostics": { "value": 0.5, "firstShape": 2, "secondShape": 3, "cumulativeProbability": 0.6875000000000009 } } ], "comparisons": [ { "method": "beta_cdf", "quantity": "beta_cdf_probability", "expected": 0.6875, "actual": 0.6875000000000009, "absoluteTolerance": 1e-12, "absoluteDeviation": 8.881784197001252e-16, "relativeDeviationPercent": 1.2918958832001823e-13, "passed": true } ], "passed": true }, { "id": "nist-gamma-cdf-point", "title": "NIST Gamma - exemplo publicado de CDF", "file": "cases/nist-gamma-cdf-point.json", "inputSha256": "844874174dc931a4f2e9f226a76ec383f2b89e292cf95b4830e7706f98ffce05", "source": { "publisher": "National Institute of Standards and Technology (NIST)", "document": "NIST/SEMATECH e-Handbook of Statistical Methods - Gamma", "url": "https://www.itl.nist.gov/div898/handbook/apr/section1/apr165.htm", "locator": "Seção 8.1.6.5, exemplo com alpha=2, beta=30 e t=24", "referenceKind": "published_hand_calculation", "originalReference": "NIST/SEMATECH e-Handbook of Statistical Methods", "notes": "A NIST publica CDF=0,19121 para forma alpha=2, escala beta=30 e t=24." }, "executions": [ { "method": "gamma_cdf", "factorOfSafety": null, "analysisType": "reliability_statistics_point", "analysisSliceCount": 0, "ok": true, "blockingReason": "", "metrics": { "gamma_cdf_probability": 0.19120786458900108 }, "reliabilityDiagnostics": { "value": 24, "shape": 2, "scale": 30, "cumulativeProbability": 0.19120786458900108 } } ], "comparisons": [ { "method": "gamma_cdf", "quantity": "gamma_cdf_probability", "expected": 0.19121, "actual": 0.19120786458900108, "absoluteTolerance": 0.000005, "absoluteDeviation": 0.0000021354109989157877, "relativeDeviationPercent": 0.0011167883473227277, "passed": true } ], "passed": true }, { "id": "nist-exponential-cdf-point", "title": "NIST Exponencial - exemplo publicado de CDF", "file": "cases/nist-exponential-cdf-point.json", "inputSha256": "5ce577248606d96a2a155356a1748a49764a2b75b1c8dafdadd4af590b922e5a", "source": { "publisher": "National Institute of Standards and Technology (NIST)", "document": "NIST/SEMATECH e-Handbook of Statistical Methods - Exponential", "url": "https://www.itl.nist.gov/div898/handbook/apr/section1/apr161.htm", "locator": "Seção 8.1.6.1, exemplo lambda=0,01 e t=100 horas", "referenceKind": "published_hand_calculation", "originalReference": "NIST/SEMATECH e-Handbook of Statistical Methods", "notes": "A NIST publica CDF=0,6321 para taxa lambda=0,01 e t=100." }, "executions": [ { "method": "exponential_cdf", "factorOfSafety": null, "analysisType": "reliability_statistics_point", "analysisSliceCount": 0, "ok": true, "blockingReason": "", "metrics": { "exponential_cdf_probability": 0.6321205588285577 }, "reliabilityDiagnostics": { "value": 100, "mean": 100, "rate": 0.01, "cumulativeProbability": 0.6321205588285577 } } ], "comparisons": [ { "method": "exponential_cdf", "quantity": "exponential_cdf_probability", "expected": 0.6321, "actual": 0.6321205588285577, "absoluteTolerance": 0.00005, "absoluteDeviation": 0.000020558828557670772, "relativeDeviationPercent": 0.0032524645716928923, "passed": true } ], "passed": true } ] }, "kotlin": { "schemaVersion": 1, "suiteId": "rockgeo-stability-verification-v1", "platform": "kotlin-android", "engine": "rockgeo_geo_engines_v2", "generatedAt": "2026-07-30T06:28:20.615150Z", "manifestSha256": "65e3217c3b09d5014c25ecb533478336eb1e1bcede5492e3bc9bdb9dcae7d05d", "summary": { "caseCount": 39, "comparisonCount": 172, "passed": 172, "failed": 0 }, "cases": [ { "id": "slide2-hand-calculation-01-dry", "title": "Bishop simplificado - cálculo manual 1, talude seco", "file": "cases/slide2-hand-calculation-01-dry.json", "inputSha256": "f09ffd54dcdce0e00334ee2f161496d775eac8db0083ea885841f5af925e9fbb", "source": { "publisher": "Rocscience", "document": "Slide Hand Calculation #1 - Simple Homogeneous Dry Slope", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Hand-Calculation-1-Simple-Homogeneous-Dry-Slope.pdf", "locator": "Tabela 1; Equação 6; Tabela 3; respostas nas páginas 5 e 9", "referenceKind": "published_hand_calculation", "originalReference": "Sharma (1996), capítulo 6 de Slope Stability and Stabilization Methods", "notes": "Sete fatias fornecidas pelo manual; comparação sem busca de superfície." }, "executions": [ { "method": "bishop", "factorOfSafety": 2.1129424598104545, "analysisType": "prebuilt_slices", "analysisSliceCount": 7, "metrics": {} } ], "comparisons": [ { "method": "bishop", "quantity": "factor_of_safety", "expected": 2.113, "actual": 2.1129424598104545, "absoluteTolerance": 0.001, "absoluteDeviation": 0.00005754018954551299, "relativeDeviationPercent": 0.002723151421936251, "passed": true } ], "passed": true }, { "id": "slide2-hand-calculation-02-wet", "title": "Bishop simplificado - cálculo manual 2, talude molhado", "file": "cases/slide2-hand-calculation-02-wet.json", "inputSha256": "f25ee2131651971dc1ffa83f85fcdcb0ab884e9af3715170404de512418b20da", "source": { "publisher": "Rocscience", "document": "Slide Hand Calculation #2 - Simple Homogeneous Wet Slope", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Hand-Calculation-2-Simple-Homogeneous-Wet-Slope.pdf", "locator": "Tabela 1; Equação 6; Tabela 3; respostas nas páginas 5 e 10", "referenceKind": "published_hand_calculation", "originalReference": "Sharma (1996), capítulo 6 de Slope Stability and Stabilization Methods", "notes": "Sete fatias com poropressões publicadas; o manual arredonda para 1,555 e o Slide para 1,554." }, "executions": [ { "method": "bishop", "factorOfSafety": 1.555196199582623, "analysisType": "prebuilt_slices", "analysisSliceCount": 7, "metrics": {} } ], "comparisons": [ { "method": "bishop", "quantity": "factor_of_safety", "expected": 1.555, "actual": 1.555196199582623, "absoluteTolerance": 0.001, "absoluteDeviation": 0.0001961995826229579, "relativeDeviationPercent": 0.012617336503084109, "passed": true, "publishedVariant": 1.554, "publishedVariantLabel": "Resultado do Slide; o cálculo manual usa alturas medidas e publica 1,555." } ], "passed": true }, { "id": "acads-01a-critical-search", "title": "ACADS 1(a) - busca circular em talude homogêneo seco", "file": "cases/acads-01a-critical-search.json", "inputSha256": "c8d83afb9db63c71004120204c4701803c2cd37fd55a86ebce4ad697fc4fbe4e", "source": { "publisher": "Rocscience", "document": "Slide Slope Stability Verification Manual", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Slide_SlopeStabilityVerification.pdf", "locator": "Problema ACADS 1(a), resultados de Bishop, Spencer, GLE/Morgenstern-Price e Janbu corrigido", "referenceKind": "published_verification_problem", "originalReference": "ACADS - Association for Computer Aided Design", "notes": "O caso verifica a busca e o solver; 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"support_normal_component_kn_m": 0, "support_available_force_per_width_kn_m": 0 }, "strengthDiagnostics": { "nonlinearSliceCount": 0, "modelTypes": [ "mohr_coulomb" ], "maximumStrengthIterations": 0, "maximumAbsoluteStrengthResidual": 0, "bartonCapSliceCount": 0, "bartonRatioCapSliceCount": 0, "engineeringReviewRequired": false, "rows": [] }, "supportDiagnostics": { "appliedElementCount": 0, "activeElementCount": 0, "passiveElementCount": 0, "appliedForcePerWidthKnM": 0, "units": "kN/m (largura fora do plano)", "methodAReference": "Duncan & Wright (2005), cap. 8: força ativa admissível no lado das ações.", "methodBReference": "Duncan & Wright (2005), cap. 8: capacidade passiva última no lado resistente, dividida pelo FS.", "interactionLimit": "LEM não calcula deslocamentos, deformações nem a carga real mobilizada no suporte.", "rows": [] } } ], "comparisons": [ { "method": "bishop", "quantity": "factor_of_safety", "expected": 2.01, "actual": 2.009230986073905, "absoluteTolerance": 0.003, "absoluteDeviation": 0.0007690139260949636, "relativeDeviationPercent": 0.03825939930820715, "passed": true }, { "method": "fellenius", "quantity": "factor_of_safety", "expected": 1.934, "actual": 1.9326460710101638, "absoluteTolerance": 0.003, "absoluteDeviation": 0.0013539289898361062, "relativeDeviationPercent": 0.07000666958821646, "passed": true }, { "method": "spencer", "quantity": "factor_of_safety", "expected": 2.017, "actual": 2.015958162804193, "absoluteTolerance": 0.003, "absoluteDeviation": 0.0010418371958067496, "relativeDeviationPercent": 0.05165281089770697, "passed": true }, { "method": "gle", "quantity": "factor_of_safety", "expected": 2.017, "actual": 2.0161394221133317, "absoluteTolerance": 0.003, "absoluteDeviation": 0.0008605778866681568, "relativeDeviationPercent": 0.04266623136679013, "passed": true } ], "passed": true }, { "id": "seequent-tension-crack-angle-fixed-surface", "title": "Seequent - trinca de tração seca inferida pela inclinação da base", "file": "cases/seequent-tension-crack-angle-fixed-surface.json", "inputSha256": "f796f470dac613edce9b75ac42e7790eaee350eb9909badc1731cddb5b7fcb52", "source": { "publisher": "Seequent Ltd.", "document": "GeoStudio Example - Tension Cracks", "url": "https://files.seequent.com/GeoStudio/SlopeW/Tension%20cracks.gsz", "locator": "Arquivo oficial .gsz, revisão 181 de 12/03/2025; análise \"2 - Tension crack angle\"; XML principal, XML da análise, 001/slip_surface.csv, 001/column_72.csv, 001/intercolumn_72.csv e 001/lambdafos_72.csv", "referenceKind": "published_tutorial_benchmark", "originalReference": "SLOPE/W Tension Cracks example", "notes": "SHA-256 do .gsz: 2846b2eb662d1cd30ad414e00c9b015853c591b48f91b691ae357ed9b763bf07. XML principal: 70a150542e09f0a3676e017ecad56140e7205487fe787bb64a03347c08f1dfd6. XML da análise: fc50e511c40e256c4e570a8aaca6a7c591afe74e2663a34112d6504f8e1fc6f1. CSVs slip/column/intercolumn/lambdafos: f6d2ec27d2c32b0c181eedece3b39d04973bbec7a9e1d66416642a5683705096, 3d01705f5f04e4a28b1ff79605f0221e28982e1a174cb2a0790b8529032acba3, efd9d509cf254072b0ced653ffa0c683c0569fa2de45f77a0a49643ec634f2a9 e 915d8e6591b8555d1af7d48c7c9578b798c512b152e2fcc09f3e29e3d4e4054d." }, "executions": [ { "method": "gle", "factorOfSafety": 1.2248052964344713, "analysisType": "fixed_surface", "analysisSliceCount": 30, "surface": { "type": "circle", "cx": 35.99769522952983, "cy": 26.76951084789218, "r": 17.647695229529816 }, "solverDiagnostics": { "method": "gle", "converged": true, "factorOfSafety": 1.2248052964344713, "analysisSliceCount": 30, "equilibrium": "force_and_moment", "forceEquilibriumEnforced": true, "momentEquilibriumEnforced": true, "intersliceFunction": "half_sine", "lambda": 0.945959293196231, "appliedIntersliceScale": 0.945959293196231, "lambdaInterpretation": "optimized_multiplier", "legacyMethod": false, "iterations": 4, "residualNorm": 2.210232264538781e-12, "forceResidual": -1.0001259679095975e-9, "normalizedForceResidual": -1.7355299782755132e-12, "momentResidual": -1.24638006582245e-8, "normalizedMomentResidual": -2.210232264538781e-12, "minimumMAlpha": 0.920393950432107, "minimumIntersliceNormal": 1.8426305014078448, "maximumIntersliceCompression": 45.34889527283575, "maximumAbsoluteIntersliceForce": 45.34889527283575, "tensileIntersliceRatio": 0, "tensileInterfaceCount": 0, "tensileBaseSliceCount": 1, "excessiveIntersliceForce": false, "tensionDetected": true, "appliedTensionCrack": { "mode": "angle", "x": 20.714342842511563, "topY": 20, "bottomY": 17.94566323312727, "depth": 2.05433676687273, "maximumBaseInclinationDeg": 60, "waterFilled": false, "source": "Seequent SLOPE/W: remoção geométrica acima da inclinação-limite" }, "engineeringReviewRequired": true, "note": "O método satisfaz simultaneamente equilíbrio global de forças e momentos. 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} ], "comparisons": [ { "method": "gle", "quantity": "factor_of_safety", "expected": 1.2249610398299926, "actual": 1.2248052964344713, "absoluteTolerance": 0.0003, "absoluteDeviation": 0.00015574339552126837, "relativeDeviationPercent": 0.012714150936823538, "passed": true }, { "method": "gle", "quantity": "analysis_slice_count", "expected": 30, "actual": 30, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "sliding_mass_weight_kn_m", "expected": 576.2654522991068, "actual": 576.2654522991065, "absoluteTolerance": 1e-9, "absoluteDeviation": 2.2737367544323206e-13, "relativeDeviationPercent": 3.945641275840622e-14, "passed": true }, { "method": "gle", "quantity": "surface_entry_x_m", "expected": 20.714342842511556, "actual": 20.714342842511563, "absoluteTolerance": 1e-10, "absoluteDeviation": 7.105427357601002e-15, "relativeDeviationPercent": 3.4301968503768804e-14, "passed": true }, { "method": "gle", "quantity": "surface_exit_x_m", "expected": 30.5, "actual": 30.5, "absoluteTolerance": 1e-10, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "applied_tension_crack_x_m", "expected": 20.714342842511556, "actual": 20.714342842511563, "absoluteTolerance": 1e-10, "absoluteDeviation": 7.105427357601002e-15, "relativeDeviationPercent": 3.4301968503768804e-14, "passed": true }, { "method": "gle", "quantity": "applied_tension_crack_depth_m", "expected": 2.054336766872723, "actual": 2.05433676687273, "absoluteTolerance": 1e-10, "absoluteDeviation": 7.105427357601002e-15, "relativeDeviationPercent": 3.4587451639769155e-13, "passed": true }, { "method": "gle", "quantity": "applied_tension_crack_base_limit_deg", "expected": 60, "actual": 60, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "solver_lambda", "expected": 0.9512901750806706, "actual": 0.945959293196231, "absoluteTolerance": 0.006, "absoluteDeviation": 0.005330881884439642, "relativeDeviationPercent": 0.560384415195666, "passed": true } ], "passed": true }, { "id": "seequent-tension-crack-line-fixed-surface", "title": "Seequent - trinca de tração explícita seca", "file": "cases/seequent-tension-crack-line-fixed-surface.json", "inputSha256": "34b15dc9471c38f0d289802595154fee97ef244ca0514e4aecbc02bf608f76e4", "source": { "publisher": "Seequent Ltd.", "document": "GeoStudio Example - Tension Cracks", "url": "https://files.seequent.com/GeoStudio/SlopeW/Tension%20cracks.gsz", "locator": "Arquivo oficial .gsz, revisão 181 de 12/03/2025; análise \"3 - Tension crack line\"; XML principal, XML da análise, 001/slip_surface.csv, 001/column_84.csv, 001/intercolumn_84.csv e 001/lambdafos_84.csv", "referenceKind": "published_tutorial_benchmark", "originalReference": "SLOPE/W Tension Cracks example", "notes": "SHA-256 do .gsz: 2846b2eb662d1cd30ad414e00c9b015853c591b48f91b691ae357ed9b763bf07. XML principal: 70a150542e09f0a3676e017ecad56140e7205487fe787bb64a03347c08f1dfd6. XML da análise: fc50e511c40e256c4e570a8aaca6a7c591afe74e2663a34112d6504f8e1fc6f1. CSVs slip/column/intercolumn/lambdafos: f180a6c5cc0ad20c7223d25c268e5857e0507a72852f4ada50a9585d7be514a6, 228425e033588667f261f2addd811c654755570ae485b731a5fd98aa886b18db, 99f8200e9fd5dba421ad88d7861f7e511943ecb473d91771c5888cfd378b1379 e f52b5bb5a174cf8eb22ee0454e2e81fb97bdf59118b287fee0a158b6dec669d3." }, "executions": [ { "method": "gle", "factorOfSafety": 1.220725297061452, "analysisType": "fixed_surface", "analysisSliceCount": 30, "surface": { "type": "circle", "cx": 34.68510093684315, "cy": 24.687704469632628, "r": 15.272319157182132 }, "solverDiagnostics": { "method": "gle", "converged": true, "factorOfSafety": 1.220725297061452, "analysisSliceCount": 30, "equilibrium": "force_and_moment", "forceEquilibriumEnforced": true, "momentEquilibriumEnforced": true, "intersliceFunction": "half_sine", "lambda": 0.9582702376834971, "appliedIntersliceScale": 0.9582702376834971, "lambdaInterpretation": "optimized_multiplier", "legacyMethod": false, "iterations": 5, "residualNorm": 2.6586221060986933e-14, "forceResidual": -1.2698932621782953e-11, "normalizedForceResidual": -2.237706313094446e-14, "momentResidual": -1.440128016838571e-10, "normalizedMomentResidual": -2.6586221060986933e-14, "minimumMAlpha": 0.8781815424884911, "minimumIntersliceNormal": 1.341436279985514, "maximumIntersliceCompression": 47.961264250751846, "maximumAbsoluteIntersliceForce": 47.961264250751846, "tensileIntersliceRatio": 0, "tensileInterfaceCount": 0, "tensileBaseSliceCount": 0, "excessiveIntersliceForce": false, "tensionDetected": false, "appliedTensionCrack": { "mode": "explicit", "x": 20.954902782202836, "topY": 20, "bottomY": 18, "depth": 2, "waterFilled": false, "waterDepth": 0, "unitWaterWeight": 9.81, "source": "Geometria explícita observada: face vertical e fundo informados" }, "engineeringReviewRequired": false, "note": "O método satisfaz simultaneamente equilíbrio global de forças e momentos. Tração nas interfaces ou na base não é descartada silenciosamente; revise a geometria e modele uma zona de trinca quando aplicável.", "interfaces": [ { "interface": 0, "normalForce": 0, "shearForce": 0, "prescribedShearNormalRatio": 0 }, { "interface": 1, "normalForce": 3.964287921940378, "shearForce": 0.39936450932528583, "prescribedShearNormalRatio": 0.10512748584310022 }, { "interface": 2, "normalForce": 8.27969571416567, "shearForce": 1.6589581292259243, "prescribedShearNormalRatio": 0.20908989698703395 }, { "interface": 3, "normalForce": 12.824196828524585, "shearForce": 3.818637621649205, "prescribedShearNormalRatio": 0.31073507066564393 }, { "interface": 4, "normalForce": 17.469620240131917, "shearForce": 6.845849797516366, "prescribedShearNormalRatio": 0.4089365248823753 }, { "interface": 5, "normalForce": 22.088093034561723, "shearForce": 10.63833940679241, "prescribedShearNormalRatio": 0.5026059426399012 }, { "interface": 6, "normalForce": 26.558558143256494, "shearForce": 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"factor_of_safety", "expected": 1.2208916806282315, "actual": 1.220725297061452, "absoluteTolerance": 0.0003, "absoluteDeviation": 0.0001663835667795599, "relativeDeviationPercent": 0.013628036739012285, "passed": true }, { "method": "gle", "quantity": "analysis_slice_count", "expected": 30, "actual": 30, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "sliding_mass_weight_kn_m", "expected": 567.497734062431, "actual": 567.4977340624312, "absoluteTolerance": 1e-9, "absoluteDeviation": 1.1368683772161603e-13, "relativeDeviationPercent": 2.0033002935146382e-14, "passed": true }, { "method": "gle", "quantity": "surface_entry_x_m", "expected": 20.954902782202836, "actual": 20.954902782202836, "absoluteTolerance": 1e-10, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "surface_exit_x_m", "expected": 30.5, "actual": 30.5, "absoluteTolerance": 1e-10, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "applied_tension_crack_x_m", "expected": 20.954902782202836, "actual": 20.954902782202836, "absoluteTolerance": 1e-10, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "applied_tension_crack_depth_m", "expected": 2, "actual": 2, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "solver_lambda", "expected": 0.9562621128124325, "actual": 0.9582702376834971, "absoluteTolerance": 0.0025, "absoluteDeviation": 0.0020081248710646094, "relativeDeviationPercent": 0.2099973264818133, "passed": true } ], "passed": true }, { "id": "seequent-tension-crack-water-fixed-surface", "title": "Seequent - trinca de tração explícita preenchida com água", "file": "cases/seequent-tension-crack-water-fixed-surface.json", "inputSha256": "3a9afad9afa0920f2479f0f0a35516d7e3500417a85b835d53c2617426f2c2ca", "source": { "publisher": "Seequent Ltd.", "document": "GeoStudio Example - Tension Cracks", "url": "https://files.seequent.com/GeoStudio/SlopeW/Tension%20cracks.gsz", "locator": "Arquivo oficial .gsz, revisão 181 de 12/03/2025; análise \"4 - Tension crack with water\"; XML principal, XML da análise, 001/slip_surface.csv, 001/column_72.csv, 001/intercolumn_72.csv e 001/lambdafos_72.csv", "referenceKind": "published_tutorial_benchmark", "originalReference": "SLOPE/W Tension Cracks example", "notes": "SHA-256 do .gsz: 2846b2eb662d1cd30ad414e00c9b015853c591b48f91b691ae357ed9b763bf07. XML principal: 70a150542e09f0a3676e017ecad56140e7205487fe787bb64a03347c08f1dfd6. XML da análise: fc50e511c40e256c4e570a8aaca6a7c591afe74e2663a34112d6504f8e1fc6f1. CSVs slip/column/intercolumn/lambdafos: 548f84971212ba9336438fa281ad55213ebd4cd9b06471723f8de67c4ac4d8c2, d4e9bfe533f8a7ecae41e9b0a9fa04de372ccc4b32f2e89c2f7d69bb73f81ad7, a3ffec08949578428e429b06732d31947780c9ce72dbb55c6c3e3711dd05224c e e8a4b031cbf66aed222ed3f456802e3efce9bd073ced4d235f95b1b6f3530883." }, "executions": [ { "method": "gle", "factorOfSafety": 1.180420117106836, "analysisType": "fixed_surface", "analysisSliceCount": 30, "surface": { "type": "circle", "cx": 35.99769522952983, "cy": 26.76951084789218, "r": 17.647695229529816 }, "solverDiagnostics": { "method": "gle", "converged": true, "factorOfSafety": 1.180420117106836, "analysisSliceCount": 30, "equilibrium": "force_and_moment", "forceEquilibriumEnforced": true, "momentEquilibriumEnforced": true, "intersliceFunction": "half_sine", "lambda": 1.141571243113101, "appliedIntersliceScale": 1.141571243113101, "lambdaInterpretation": "optimized_multiplier", "legacyMethod": false, "iterations": 4, "residualNorm": 2.606043220183106e-14, "forceResidual": -1.5051202944572878e-11, "normalizedForceResidual": -2.606043220183106e-14, "momentResidual": -5.843503458891064e-11, "normalizedMomentResidual": -1.0306455719203187e-14, "minimumMAlpha": 0.9317161638367127, "minimumIntersliceNormal": 4.24776334481065, "maximumIntersliceCompression": 50.387108810344245, "maximumAbsoluteIntersliceForce": 50.387108810344245, "tensileIntersliceRatio": 0, "tensileInterfaceCount": 0, "tensileBaseSliceCount": 0, "excessiveIntersliceForce": false, "tensionDetected": false, "appliedTensionCrack": { "mode": "explicit", "x": 20.683100020936468, "topY": 20, "bottomY": 18, "depth": 2, "waterFilled": true, "waterDepth": 2, "unitWaterWeight": 10, "source": "Geometria explícita observada: face vertical e fundo informados" }, "engineeringReviewRequired": false, "note": "O método satisfaz simultaneamente equilíbrio global de forças e momentos. 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"source": { "publisher": "Rocscience", "document": "Slide2 Slope Stability Verification Manual", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Slide_SlopeStabilityVerification.pdf", "locator": "Problema 51, Figuras 51.1 e 51.2, Tabelas 51.1 e 51.2", "referenceKind": "published_verification_problem", "originalReference": "Zhu, Lee & Jiang (2003), Géotechnique 53(4), 377-395", "notes": "Geometria, propriedades, círculo, trinca e nível d'água reconstruídos das figuras publicadas. 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"analysisType": "fixed_surface", "analysisSliceCount": 100, "surface": { "type": "circle", "cx": 14.7102576, "cy": 8.5344, "r": 14.5337784 }, "metrics": { "analysis_slice_count": 100, "sliding_mass_weight_kn_m": 2250.807106848617, "surface_entry_x_m": 5.179865439, "surface_exit_x_m": 28.776269004, "maximum_pore_pressure_kpa": 0, "solver_lambda": null, "applied_tension_crack_x_m": null, "applied_tension_crack_depth_m": null, "applied_tension_crack_base_limit_deg": null, "applied_tension_crack_water_depth_m": null, "applied_tension_crack_unit_water_weight_kn_m3": null, "tension_crack_water_force_kn_m": null, "tension_crack_water_application_height_m": null, "maximum_effective_normal_stress_kpa": null, "support_applied_element_count": 0, "support_active_element_count": 0, "support_passive_element_count": 0, "support_applied_force_per_width_kn_m": 0, "support_shear_component_kn_m": 0, "support_normal_component_kn_m": 0, "support_available_force_per_width_kn_m": 0 }, "strengthDiagnostics": { "nonlinearSliceCount": 0, "modelTypes": [ "undrained" ], "maximumStrengthIterations": 0, "maximumAbsoluteStrengthResidual": 0, "bartonCapSliceCount": 0, "bartonRatioCapSliceCount": 0, "engineeringReviewRequired": false, "rows": [] }, "supportDiagnostics": { "appliedElementCount": 0, "activeElementCount": 0, "passiveElementCount": 0, "appliedForcePerWidthKnM": 0, "units": "kN/m (largura fora do plano)", "methodAReference": "Duncan & Wright (2005), cap. 8: força ativa admissível no lado das ações.", "methodBReference": "Duncan & Wright (2005), cap. 8: capacidade passiva última no lado resistente, dividida pelo FS.", "interactionLimit": "LEM não calcula deslocamentos, deformações nem a carga real mobilizada no suporte.", "rows": [] } } ], "comparisons": [ { "method": "bishop", "quantity": "factor_of_safety", "expected": 1.241, "actual": 1.2365263481635111, "absoluteTolerance": 0.007, "absoluteDeviation": 0.004473651836488957, "relativeDeviationPercent": 0.3604876580571278, "passed": true }, { "method": "spencer", "quantity": "factor_of_safety", "expected": 1.241, "actual": 1.2365213151724581, "absoluteTolerance": 0.007, "absoluteDeviation": 0.00447868482754199, "relativeDeviationPercent": 0.36089321736841173, "passed": true }, { "method": "gle", "quantity": "factor_of_safety", "expected": 1.244, "actual": 1.2365213151724244, "absoluteTolerance": 0.009, "absoluteDeviation": 0.007478684827575632, "relativeDeviationPercent": 0.6011804523774624, "passed": true }, { "method": "janbu", "quantity": "factor_of_safety", "expected": 1.385, "actual": 1.3915898196580416, "absoluteTolerance": 0.007, "absoluteDeviation": 0.006589819658041618, "relativeDeviationPercent": 0.47579925328820344, "passed": true } ], "passed": true }, { "id": "newmark-problem-62-yield-coefficient", "title": "Newmark - ky derivado do problema 62 por FS(kh)=1", "file": "cases/newmark-problem-62-yield-coefficient.json", "inputSha256": "d41a25994b77af020dd3159c464d080951d722adcd6098bc7b03ee452b3295e8", "source": { "publisher": "Rocscience", "document": "Slide Slope Stability Verification Manual", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Slide_SlopeStabilityVerification.pdf", "locator": "Problema 62, Loukidis et al. (2003): kh=0,432 e Spencer FS=1,001 na superfície publicada", "referenceKind": "derived_from_published_verification_problem", "originalReference": "Newmark (1965); Loukidis et al. (2003)", "notes": "O valor de ky é uma raiz numérica derivada da curva FS(kh) do mesmo motor e da mesma superfície; a âncora externa publicada é FS=1,001 em kh=0,432." }, "executions": [ { "method": "spencer", "factorOfSafety": 0.9999999924841015, "analysisType": "newmark_yield_coefficient", "analysisSliceCount": 50, "surface": { "type": "circle", "cx": 15.319, "cy": 116.672, "r": 117.673 }, "metrics": { "yield_coefficient": 0.43267171382904057, "factor_of_safety_at_yield": 0.9999999924841015, "critical_acceleration_mps2": 4.24306006242156 }, "yieldDiagnostics": { "ok": true, "method": "spencer", "fixedSurface": true, "criticalSurfaceSearchPerformed": false, "equation": "FS(kh) = 1", "yieldCoefficient": 0.43267171382904057, "criticalAccelerationMps2": 4.24306006242156, "staticFactorOfSafety": 2.620847937599626, "factorOfSafetyAtYield": 0.9999999924841015, "factorOfSafetyResidual": -7.515898459153902e-9, "iterations": 20, "evaluationCount": 39, "finalBracket": { "lowerKh": 0.4326716899871827, "lowerFactorOfSafety": 1.0000000287029391, "upperKh": 0.43267171382904057, "upperFactorOfSafety": 0.9999999924841015 }, "tolerances": { "fsTolerance": 1e-8, "khTolerance": 1e-8 }, "evaluations": [ { "kh": 0, "factorOfSafety": 2.620847937599626 }, { "kh": 0.025, "factorOfSafety": 2.4100772368702756 }, { "kh": 0.05, "factorOfSafety": 2.2291353905334645 }, { "kh": 0.075, "factorOfSafety": 2.0721398238181252 }, { "kh": 0.1, "factorOfSafety": 1.934659836630856 }, { "kh": 0.125, "factorOfSafety": 1.8132947679370546 }, { "kh": 0.15, "factorOfSafety": 1.7053911017424928 }, { "kh": 0.175, "factorOfSafety": 1.6088479606491428 }, { "kh": 0.2, "factorOfSafety": 1.521980354060696 }, { "kh": 0.225, "factorOfSafety": 1.4434211493438653 }, { "kh": 0.25, "factorOfSafety": 1.3720494350058212 }, { "kh": 0.275, "factorOfSafety": 1.3069375413230337 }, { "kh": 0.3, "factorOfSafety": 1.2473110882980718 }, { "kh": 0.325, "factorOfSafety": 1.1925185854689657 }, { "kh": 0.35, "factorOfSafety": 1.1420079847383935 }, { "kh": 0.375, "factorOfSafety": 1.0953084036718064 }, { "kh": 0.4, "factorOfSafety": 1.052015734947022 }, { "kh": 0.425, "factorOfSafety": 1.0117812314790355 }, { "kh": 0.45, "factorOfSafety": 0.9743023004927653 }, { "kh": 0.4375, "factorOfSafety": 0.9927146384823059 }, { "kh": 0.43125, "factorOfSafety": 1.0021640800049572 }, { "kh": 0.434375, "factorOfSafety": 0.9974186601117583 }, { "kh": 0.43281250000000004, "factorOfSafety": 0.9997861625490145 }, { "kh": 0.43203125000000003, "factorOfSafety": 1.000973815278509 }, { "kh": 0.43242187500000007, "factorOfSafety": 1.0003796629306492 }, { "kh": 0.43261718750000006, "factorOfSafety": 1.0000828313084973 }, { "kh": 0.43271484375, "factorOfSafety": 0.9999344765789705 }, { "kh": 0.43266601562500007, "factorOfSafety": 1.0000086488552817 }, { "kh": 0.43269042968750004, "factorOfSafety": 0.9999715614451387 }, { "kh": 0.43267822265625006, "factorOfSafety": 0.9999901048321979 }, { "kh": 0.4326721191406251, "factorOfSafety": 0.9999993767642346 }, { "kh": 0.4326690673828126, "factorOfSafety": 1.0000040127898813 }, { "kh": 0.43267059326171886, "factorOfSafety": 1.000001694772089 }, { "kh": 0.432671356201172, "factorOfSafety": 1.0000005357669193 }, { "kh": 0.4326717376708985, "factorOfSafety": 0.9999999562652663 }, { "kh": 0.43267154693603527, "factorOfSafety": 1.0000002460160153 }, { "kh": 0.4326716423034669, "factorOfSafety": 1.0000001011406217 }, { "kh": 0.4326716899871827, "factorOfSafety": 1.0000000287029391 }, { "kh": 0.43267171382904057, "factorOfSafety": 0.9999999924841015 } ], "reference": "Newmark (1965); ky é o coeficiente pseudoestático que reduz FS a 1.", "limitations": [ "Bloco rígido em uma superfície fixa; não representa deformação interna do maciço.", "ky permanece constante durante o registro e deriva de FS(kh)=1.", "Não inclui resposta dinâmica ou amplificação topográfica/deformacional.", "Não inclui poropressão cíclica, liquefação nem degradação de resistência.", "Não inclui aceleração vertical; ela exige uma formulação e histórico próprios.", "O deslocamento calculado é demanda, não critério universal de aceitabilidade." ] } } ], "comparisons": [ { "method": "spencer", "quantity": "yield_coefficient", "expected": 0.43267171382904057, "actual": 0.43267171382904057, "absoluteTolerance": 0.000002, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true, "publishedVariant": 0.432, "publishedVariantLabel": "kh publicado com Spencer FS=1,001; não é ky publicado" }, { "method": "spencer", "quantity": "factor_of_safety_at_yield", "expected": 1, "actual": 0.9999999924841015, "absoluteTolerance": 1e-8, "absoluteDeviation": 7.515898459153902e-9, "relativeDeviationPercent": 7.515898459153902e-7, "passed": true } ], "passed": true }, { "id": "newmark-analytical-linear-pulse", "title": "Newmark - pulso linear com solução fechada", "file": "cases/newmark-analytical-linear-pulse.json", "inputSha256": "7b527a7f1eb7404e77a573fa73bd4ab2f67152da7eb34a83c56592d1e1c48153", "source": { "publisher": "The Institution of Civil Engineers", "document": "Effects of earthquakes on dams and embankments", "url": "https://doi.org/10.1680/geot.1965.15.2.139", "locator": "Método do bloco deslizante de Newmark; caso sintético integrado analiticamente por trechos lineares", "referenceKind": "analytical_solution_from_published_method", "originalReference": "Newmark, N. M. (1965), Géotechnique 15(2), 139–160", "notes": "Pulso contínuo construído para iniciar em a=ky e terminar exatamente com velocidade relativa nula." }, "executions": [ { "method": "newmark", "factorOfSafety": null, "analysisType": "newmark_integration", "analysisSliceCount": 0, "metrics": { "displacement_m": 3.8409379166666655, "residual_velocity_mps": 0 }, "integrationDiagnostics": { "ok": true, "integrationModel": "rigid_block_piecewise_linear_exact_events", "directionConvention": "positive_driving_downslope", "gravityMps2": 9.80665, "yieldCoefficient": 0.1, "criticalAccelerationMps2": 0.980665, "displacementAtRecordEndM": 3.8409379166666655, "permanentDisplacementM": 3.8409379166666655, "residualVelocityMps": 0, "maximumVelocityMps": 0.9806649999999999, "recordEndsWhileSliding": false, "calculationComplete": true, "motionStartCount": 1, "motionStopCount": 1, "sampling": { "pointCount": 4, "startTimeS": 0, "endTimeS": 3.5, "durationS": 3.5, "minimumStepS": 0.5, "maximumStepS": 2, "irregularSampling": true }, "warnings": [ "Passo máximo maior que 0,02 s: confirme que o registro preserva a frequência e os picos relevantes do movimento." ], "events": [ { "type": "start", "timeS": 0, "displacementM": 0 }, { "type": "stop", "timeS": 3.5, "displacementM": 3.8409379166666655 } ], "trace": [ { "timeS": 0, "displacementM": 0, "velocityMps": 0, "drivingAccelerationG": 0.1, "sliding": false }, { "timeS": 1, "displacementM": 0.3268883333333333, "velocityMps": 0.9806649999999999, "drivingAccelerationG": 0.3, "sliding": true }, { "timeS": 3, "displacementM": 3.5957716666666655, "velocityMps": 0.9806649999999997, "drivingAccelerationG": -0.1, "sliding": true }, { "timeS": 3.5, "displacementM": 3.8409379166666655, "velocityMps": 0, "drivingAccelerationG": -0.1, "sliding": false } ], "limitations": [ "Bloco rígido em uma superfície fixa; não representa deformação interna do maciço.", "ky permanece constante durante o registro e deriva de FS(kh)=1.", "Não inclui resposta dinâmica ou amplificação topográfica/deformacional.", "Não inclui poropressão cíclica, liquefação nem degradação de resistência.", "Não inclui aceleração vertical; ela exige uma formulação e histórico próprios.", "O deslocamento calculado é demanda, não critério universal de aceitabilidade." ] } } ], "comparisons": [ { "method": "newmark", "quantity": "displacement_m", "expected": 3.8409379166666664, "actual": 3.8409379166666655, "absoluteTolerance": 1e-12, "absoluteDeviation": 8.881784197001252e-16, "relativeDeviationPercent": 2.3123998329838285e-14, "passed": true }, { "method": "newmark", "quantity": "residual_velocity_mps", "expected": 0, "actual": 0, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": null, "passed": true } ], "passed": true }, { "id": "hoek-brown-2002-balmer-point", "title": "Hoek-Brown 2002 - parâmetros e ponto da envoltória de Balmer", "file": "cases/hoek-brown-2002-balmer-point.json", "inputSha256": "533b14f8efea1edda4bbf2c39028bb7a2f584e8f6ef32229a569753207d8fc7f", "source": { "publisher": "NARMS-TAC / University of Toronto", "document": "Hoek-Brown failure criterion - 2002 edition", "url": "https://www.d.umn.edu/~carranza/HB02/%5B2002%5D_EH_CCT_%26_BC_%5BHB_2002-NARMS-conference%5D.pdf", "locator": "Equações 2-5 e 8-10; parâmetros do exemplo da Seção 7", "referenceKind": "analytical_solution_from_published_method", "originalReference": "Hoek, Carranza-Torres e Corkum (2002), NARMS-TAC, p. 267-273", "notes": "O valor esperado foi calculado diretamente nas equações publicadas, sem ajuste Mohr-Coulomb. O ponto sigma3'=50 kPa foi escolhido dentro do domínio declarado." }, "executions": [ { "method": "hoek_brown", "factorOfSafety": null, "analysisType": "strength_point", "analysisSliceCount": 0, "metrics": { "hoek_mb": 1.402560337259652, "hoek_s": 0.002218084904320257, "hoek_a": 0.5080857390944207, "solved_sigma3_kpa": 50.00000000010167, "shear_stress_kpa": 757.6557130239916, "barton_angle_deg": null }, "strengthDiagnostics": { "ok": true, "shearForce": 757.6557130239916, "shearStressKpa": 757.6557130239916, "tangentSlope": 1.6123015602738529, "effectiveNormalStressKpa": 265.8845785298288, "failureCode": null, "blockingReason": null, "strengthIterations": 39, "strengthResidualKpa": 2.594333636807278e-10, "solvedSigma3Kpa": 50.00000000010167, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "powerCurveShiftedStressKpa": null, "powerCurveTangentSingular": false, "engineeringReviewRequired": false } } ], "comparisons": [ { "method": "hoek_brown", "quantity": "hoek_mb", "expected": 1.402560337259652, "actual": 1.402560337259652, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "hoek_brown", "quantity": "hoek_s", "expected": 0.002218084904320257, "actual": 0.002218084904320257, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "hoek_brown", "quantity": "hoek_a", "expected": 0.5080857390944207, "actual": 0.5080857390944207, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "hoek_brown", "quantity": "solved_sigma3_kpa", "expected": 50, "actual": 50.00000000010167, "absoluteTolerance": 1e-9, "absoluteDeviation": 1.0167156005991274e-10, "relativeDeviationPercent": 2.0334312011982547e-10, "passed": true }, { "method": "hoek_brown", "quantity": "shear_stress_kpa", "expected": 757.6557130235739, "actual": 757.6557130239916, "absoluteTolerance": 1e-9, "absoluteDeviation": 4.176854417892173e-10, "relativeDeviationPercent": 5.5128659971738557e-11, "passed": true } ], "passed": true }, { "id": "barton-choubey-1977-strength-point", "title": "Barton-Choubey 1977 - resistência de pico de uma junta", "file": "cases/barton-choubey-1977-strength-point.json", "inputSha256": "8bb1183e6aebbd30652296145bbb2873f3e466ec636fff172eeed58b1b83c412", "source": { "publisher": "Springer / Rock Mechanics", "document": "The shear strength of rock joints in theory and practice", "url": "https://doi.org/10.1007/BF01261801", "locator": "Lei empírica de atrito baseada em JRC, JCS e ângulo de atrito residual", "referenceKind": "analytical_solution_from_published_method", "originalReference": "Barton e Choubey (1977), Rock Mechanics 10, p. 1-54", "notes": "Caso analítico construído sem ativar os limites numéricos adicionais do RockGeo: JCS/sigma_n'=10 e ângulo total=40 graus." }, "executions": [ { "method": "barton_choubey", "factorOfSafety": null, "analysisType": "strength_point", "analysisSliceCount": 0, "metrics": { "hoek_mb": null, "hoek_s": null, "hoek_a": null, "solved_sigma3_kpa": null, "shear_stress_kpa": 8390.996311772798, "barton_angle_deg": 40 }, "strengthDiagnostics": { "ok": true, "shearForce": 8390.996311772798, "shearStressKpa": 8390.996311772798, "tangentSlope": 0.7099319849151347, "effectiveNormalStressKpa": 10000, "failureCode": null, "blockingReason": null, "strengthIterations": 0, "strengthResidualKpa": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": 40, "bartonCapApplied": false, "bartonRatioCapApplied": false, "powerCurveShiftedStressKpa": null, "powerCurveTangentSingular": false, "engineeringReviewRequired": false } } ], "comparisons": [ { "method": "barton_choubey", "quantity": "barton_angle_deg", "expected": 40, "actual": 40, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "barton_choubey", "quantity": "shear_stress_kpa", "expected": 8390.996311772798, "actual": 8390.996311772798, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true } ], "passed": true }, { "id": "usace-rapid-drawdown-g8-g12-point", "title": "USACE - resistência não drenada no rebaixamento rápido", "file": "cases/usace-rapid-drawdown-g8-g12-point.json", "inputSha256": "7c4cfa74b6b992b0a3ef60f08dda1ccc67d2c4989aa83b139973f3a7e263db5d", "source": { "publisher": "U.S. Army Corps of Engineers", "document": "EM 1110-2-1902 - Slope Stability", "url": "https://www.publications.usace.army.mil/Portals/76/Publications/EngineerManuals/EM_1110-2-1902.pdf", "locator": "Apêndice G, procedimento melhorado, Equações G-8 a G-12", "referenceKind": "analytical_solution_from_published_method", "originalReference": "USACE EM 1110-2-1902 (2003), Appendix G", "notes": "Estado sintético transparente para verificar a transformação de tensões e a interpolação entre Kc=1 e Kc=Kf." }, "executions": [ { "method": "rapid_drawdown", "factorOfSafety": null, "analysisType": "rapid_drawdown_strength_point", "analysisSliceCount": 0, "metrics": { "rapid_kc": 1.522175893937534, "rapid_kf": 3, "rapid_tau_kc1_kpa": 22.632698070846498, "rapid_tau_kf_kpa": 57.735026918962575, "rapid_undrained_strength_kpa": 31.797493043623646 }, "rapidDrawdownDiagnostics": { "sigmaC": 100, "tauC": 20, "rawKc": 1.522175893937534, "kc": 1.522175893937534, "kf": 3, "kcClamped": false, "tauKc1": 22.632698070846498, "tauKf": 57.735026918962575, "undrainedStrength": 31.797493043623646, "equationReference": "USACE EM 1110-2-1902, Eqs. G-9 a G-12" } } ], "comparisons": [ { "method": "rapid_drawdown", "quantity": "rapid_kc", "expected": 1.522175893937534, "actual": 1.522175893937534, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "rapid_drawdown", "quantity": "rapid_kf", "expected": 3, "actual": 3, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "rapid_drawdown", "quantity": "rapid_tau_kc1_kpa", "expected": 22.632698070846498, "actual": 22.632698070846498, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "rapid_drawdown", "quantity": "rapid_tau_kf_kpa", "expected": 57.735026918962575, "actual": 57.735026918962575, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "rapid_drawdown", "quantity": "rapid_undrained_strength_kpa", "expected": 31.797493043623646, "actual": 31.797493043623646, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true } ], "passed": true }, { "id": "usace-rapid-drawdown-three-stage", "title": "USACE - exemplo completo de rebaixamento rápido em três etapas", "file": "cases/usace-rapid-drawdown-three-stage.json", "inputSha256": "93d30cfa515c881dd5a24605c07e7e0a6f1c3c8c5a61ea34b974e63ca1ef87be", "source": { "publisher": "U.S. Army Corps of Engineers", "document": "EM 1110-2-1902 - Slope Stability", "url": "https://www.publications.usace.army.mil/Portals/76/Publications/EngineerManuals/EM_1110-2-1902.pdf", "locator": "Apêndice G, Figuras G-5, G-6, G-12 e G-13; Seção G-7", "referenceKind": "derived_from_published_verification_problem", "originalReference": "USACE EM 1110-2-1902 (2003), improved rapid drawdown, Modified Swedish/Spencer example", "notes": "Geometria e propriedades foram convertidas para SI. A solicitação nominal de 12 fatias é refinada deterministicamente nos contatos geométricos e produz 14 fatias computacionais; o manual usa 12 fatias com larguras publicadas diferentes. As tolerâncias incluem essa diferença de discretização." }, "executions": [ { "method": "spencer", "factorOfSafety": 1.4395769856971532, "analysisType": "rapid_drawdown_surface", "analysisSliceCount": 14, "surface": { "type": "circle", "cx": 51.6636, "cy": 64.008, "r": 64.008 }, "solverDiagnostics": { "method": "spencer", "converged": true, "factorOfSafety": 1.4395769856971532, "analysisSliceCount": 14, "equilibrium": "force_and_moment", "forceEquilibriumEnforced": true, "momentEquilibriumEnforced": true, "intersliceFunction": "constant", "lambda": 0.24573445872384003, "appliedIntersliceScale": 0.24573445872384003, "lambdaInterpretation": "optimized_multiplier", "legacyMethod": false, "iterations": 4, "residualNorm": 5.722508662078039e-13, "forceResidual": 2.6165591432537354e-9, "normalizedForceResidual": 9.794591230429876e-14, "momentResidual": 0.0000013147194977136678, "normalizedMomentResidual": 5.722508662078039e-13, "minimumMAlpha": 0.6880862853118151, "minimumIntersliceNormal": 0.000027958963880849863, "maximumIntersliceCompression": 3968.8570010802932, "maximumAbsoluteIntersliceForce": 3968.8570010802932, "tensileIntersliceRatio": 0, "tensileInterfaceCount": 0, "tensileBaseSliceCount": 0, "excessiveIntersliceForce": false, "tensionDetected": false, "appliedTensionCrack": null, "engineeringReviewRequired": false, "note": "O método satisfaz simultaneamente equilíbrio global de forças e momentos. Tração nas interfaces ou na base não é descartada silenciosamente; revise a geometria e modele uma zona de trinca quando aplicável.", "interfaces": [ { "interface": 0, "normalForce": 0, "shearForce": 0, "prescribedShearNormalRatio": 1 }, { "interface": 1, "normalForce": 0.000027958963880849863, "shearForce": 0.000006870480855740035, "prescribedShearNormalRatio": 1 }, { "interface": 2, "normalForce": 559.1629524354131, "shearForce": 137.40560545514055, "prescribedShearNormalRatio": 1 }, { "interface": 3, "normalForce": 1591.1039241866163, "shearForce": 390.9890615833759, "prescribedShearNormalRatio": 1 }, { "interface": 4, "normalForce": 2599.1904276849973, "shearForce": 638.710652867359, "prescribedShearNormalRatio": 1 }, { "interface": 5, "normalForce": 3396.669196019782, "shearForce": 834.678666347862, "prescribedShearNormalRatio": 1 }, { "interface": 6, "normalForce": 3872.897041377709, "shearForce": 951.7042581561128, "prescribedShearNormalRatio": 1 }, { "interface": 7, "normalForce": 3968.8570010802932, "shearForce": 975.2849269127888, "prescribedShearNormalRatio": 1 }, { "interface": 8, "normalForce": 3711.3220024076436, "shearForce": 911.9997034115204, "prescribedShearNormalRatio": 1 }, { "interface": 9, "normalForce": 3128.4238882795057, "shearForce": 768.7615508450954, "prescribedShearNormalRatio": 1 }, { "interface": 10, "normalForce": 2035.3413741248346, "shearForce": 500.153510888803, "prescribedShearNormalRatio": 1 }, { "interface": 11, "normalForce": 1216.3865734530473, "shearForce": 298.90809622643104, "prescribedShearNormalRatio": 1 }, { "interface": 12, "normalForce": 451.2125270948314, "shearForce": 110.8784661150644, "prescribedShearNormalRatio": 1 }, { "interface": 13, "normalForce": 18.257758299197487, "shearForce": 4.486560353163993, "prescribedShearNormalRatio": 1 }, { "interface": 14, "normalForce": -2.6165591432537354e-9, "shearForce": -6.429787447863713e-10, "prescribedShearNormalRatio": 1 } ], "slices": [ { "slice": 1, "sourceSliceIndex": 0, "baseLength": 0.0015436624054433249, "baseNormalForce": 0.000034118774710447006, "effectiveBaseNormalForce": 0.000034118774710447006, "effectiveNormalStressKpa": 0.022102484707884316, "poreWaterForce": 0, "mobilizedShearForce": 0.000013683522284122417, "availableShearResistance": 0.000019698483763496774, "mAlpha": 0.6995221020112505, "strengthModel": "mohr_coulomb", "strengthIterations": 0, "strengthResidualKpa": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "passiveSupportShear": 0, "passiveSupportNormal": 0, "passiveSupportForce": 0, "engineeringReviewRequired": false }, { "slice": 2, "sourceSliceIndex": 1, "baseLength": 8.335764506437966, "baseNormalForce": 789.7772452238805, "effectiveBaseNormalForce": 651.5485772421707, "effectiveNormalStressKpa": 78.16302592749109, "poreWaterForce": 138.22866798170978, "mobilizedShearForce": 261.3071410548522, "availableShearResistance": 376.17174646088495, "mAlpha": 0.7514060039917831, "strengthModel": "mohr_coulomb", "strengthIterations": 0, "strengthResidualKpa": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "passiveSupportShear": 0, "passiveSupportNormal": 0, "passiveSupportForce": 0, "engineeringReviewRequired": false }, { "slice": 3, "sourceSliceIndex": 2, "baseLength": 7.952112836695325, "baseNormalForce": 1827.9701363114693, "effectiveBaseNormalForce": 1827.9701363114693, "effectiveNormalStressKpa": 229.87225833570068, "poreWaterForce": 0, "mobilizedShearForce": 530.9421576680026, "availableShearResistance": 764.3321109152458, "mAlpha": 0.9581621850618126, "strengthModel": "mohr_coulomb", "strengthIterations": 0, "strengthResidualKpa": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "passiveSupportShear": 0, "passiveSupportNormal": 0, "passiveSupportForce": 0, "engineeringReviewRequired": false }, { 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"strengthIterations": 0, "strengthResidualKpa": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "passiveSupportShear": 0, "passiveSupportNormal": 0, "passiveSupportForce": 0, "engineeringReviewRequired": false }, { "slice": 9, "sourceSliceIndex": 8, "baseLength": 7.52224463091657, "baseNormalForce": 2879.159346039828, "effectiveBaseNormalForce": 2879.159346039828, "effectiveNormalStressKpa": 382.7526871708516, "poreWaterForce": 0, "mobilizedShearForce": 659.9743640355061, "availableShearResistance": 950.0839056156295, "mAlpha": 0.9114621726364706, "strengthModel": "mohr_coulomb", "strengthIterations": 0, "strengthResidualKpa": 0, "solvedSigma3Kpa": null, "bartonAngleDeg": null, "bartonCapApplied": false, "bartonRatioCapApplied": false, "passiveSupportShear": 0, "passiveSupportNormal": 0, "passiveSupportForce": 0, "engineeringReviewRequired": false }, { "slice": 10, "sourceSliceIndex": 9, "baseLength": 9.898292745345055, 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(largura fora do plano)", "methodAReference": "Duncan & Wright (2005), cap. 8: força ativa admissível no lado das ações.", "methodBReference": "Duncan & Wright (2005), cap. 8: capacidade passiva última no lado resistente, dividida pelo FS.", "interactionLimit": "LEM não calcula deslocamentos, deformações nem a carga real mobilizada no suporte.", "rows": [] } } ], "comparisons": [ { "method": "gle", "quantity": "factor_of_safety", "expected": 1.0957704738126803, "actual": 1.09561659722547, "absoluteTolerance": 0.0002, "absoluteDeviation": 0.00015387658721044417, "relativeDeviationPercent": 0.014042775461455721, "passed": true }, { "method": "gle", "quantity": "analysis_slice_count", "expected": 30, "actual": 30, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "sliding_mass_weight_kn_m", "expected": 1504.462232371926, "actual": 1504.4622323718781, "absoluteTolerance": 0.000001, "absoluteDeviation": 4.774847184307873e-11, "relativeDeviationPercent": 3.1737899972270345e-12, "passed": true }, { "method": "gle", "quantity": "surface_entry_x_m", "expected": 13.500859946371031, "actual": 13.500859946, "absoluteTolerance": 1e-9, "absoluteDeviation": 3.710312057592091e-10, "relativeDeviationPercent": 2.7482042420486004e-9, "passed": true }, { "method": "gle", "quantity": "surface_exit_x_m", "expected": 37, "actual": 37, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "maximum_pore_pressure_kpa", "expected": 50.44218679377862, "actual": 50.45761725777182, "absoluteTolerance": 0.02, "absoluteDeviation": 0.015430463993205024, "relativeDeviationPercent": 0.030590394616095765, "passed": true }, { "method": "gle", "quantity": "solver_lambda", "expected": 0.3816484052882877, "actual": 0.38324060877891336, "absoluteTolerance": 0.002, "absoluteDeviation": 0.0015922034906256655, "relativeDeviationPercent": 0.41719118135000577, "passed": true } ], "passed": true }, { "id": "shepard-1968-idw2-pore-pressure-point", "title": "Shepard 1968 - interpolação IDW² de poropressão", "file": "cases/shepard-1968-idw2-pore-pressure-point.json", "inputSha256": "0bb5b021522cc15ea26035d2adeb639274b3e7d3553398c8934807a8d681ee0d", "source": { "publisher": "Association for Computing Machinery", "document": "A two-dimensional interpolation function for irregularly-spaced data", "url": "https://doi.org/10.1145/800186.810616", "locator": "ACM National Conference 1968, p. 517-524; média ponderada pelo inverso da distância", "referenceKind": "analytical_solution_from_published_method", "originalReference": "Shepard, D. (1968), DOI 10.1145/800186.810616", "notes": "O RockGeo usa a forma global IDW com potência 2 e bloqueia extrapolação fora do casco convexo. O ponto foi escolhido dentro do triângulo de dados." }, "executions": [ { "method": "inverse_distance_squared", "factorOfSafety": null, "analysisType": "pore_pressure_grid_point", "analysisSliceCount": 0, "metrics": { "pore_pressure_kpa": 17.27272727272727 }, "porePressureDiagnostics": { "validation": { "valid": true, "blockingIssues": [], "warnings": [] }, "query": { "x": 1, "y": 1 }, "porePressureKpa": 17.27272727272727 } } ], "comparisons": [ { "method": "inverse_distance_squared", "quantity": "pore_pressure_kpa", "expected": 17.272727272727273, "actual": 17.27272727272727, "absoluteTolerance": 1e-12, "absoluteDeviation": 3.552713678800501e-15, "relativeDeviationPercent": 2.056834235095027e-14, "passed": true } ], "passed": true }, { "id": "slide2-tin-delaunay-total-head-point", "title": "Slide2 - TIN/Delaunay com carga total", "file": "cases/slide2-tin-delaunay-total-head-point.json", "inputSha256": "fe55d88554614ee0ecd746bbff0457cb0e4f4be5beadf48b44ab3fd5a111d660", "source": { "publisher": "Rocscience Inc.", "document": "Slide2 Documentation - Interpolation Method", "url": "https://www.rocscience.com/help/slide2/documentation/slide-model/project-settings/groundwater/interpolation-method", "locator": "TIN Triangulation; plano pelos três vértices e interpolação linear", "referenceKind": "analytical_solution_from_published_method", "originalReference": "Slide2 Slope Stability Verification Manual, Problema #10: malha de poropressão com TIN", "notes": "Os quatro nós pertencem ao plano H=5+2x+3y. 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12/03/2025; análise \"1b - Entry-Exit Optimized\"; XML principal, XML da análise, 001/slip_surface.csv, 001/column_397.csv, 001/intercolumn_397.csv e 001/optimization.csv", "referenceKind": "published_tutorial_benchmark", "originalReference": "SLOPE/W Slip Surface Optimization example", "notes": "SHA-256 do .gsz: 685cf91e659b7146c5b7972f1af0a5ad59f3271823b95670ad2f08d6d316c13d. XML principal: 991b5f81087159d9f39ac76dceb2ee070ecdaf1c0907f0dbab076f9d17cf7cf7. XML da análise: 32ea2b318a7680ba8ac79220bc53175bbe19b2da33ef0b95998c02478823ccbc. CSVs slip/column/intercolumn/optimization: 8ff5322f68407d392b50b615bdf493032e3fdb8f4767ef22326cde3160f9682e, 91bbb85343d92c49a2b09290978f1a3ff0269cbd61de0e780ef4eac828bc77b3, 0899e61809e566f6edaf4bb98e11791512d06cc08210a8d2a20c4753f5a613b9 e 1627aa7639c611bdd3860e95f8d36872c58e322d4c770026798b941e704f1f09." }, "executions": [ { "method": "gle", "factorOfSafety": 1.3276730176249065, "analysisType": "fixed_surface", "analysisSliceCount": 37, "surface": { "type": "polyline", "points": [ [ 8.104458978149216, 20 ], [ 8.875322, 18.845979 ], [ 9.3634, 18.095391 ], [ 10, 17.143655862822744 ], [ 10.451299, 16.468951 ], [ 11, 15.69109810005855 ], [ 11.498276, 14.984729 ], [ 11.612301501024051, 14.838868026046303 ], [ 12.171577, 14.123445 ], [ 12.96207, 13.258124 ], [ 13.6417245, 12.5837505 ], [ 14.321379, 11.909377 ], [ 15.085011, 11.26764 ], [ 15.848643, 10.625904 ], [ 16.647791, 10.005628 ], [ 17.31851368344088, 9.70124 ], [ 17.976835, 9.40248 ], [ 18.6755, 9.1310125 ], [ 19.374165, 8.859545 ], [ 20.176715, 8.604282000000001 ], [ 20.979265, 8.349019 ], [ 21.806848000000002, 8.1414215 ], [ 22.634431, 7.933824 ], [ 23.365082, 7.801657 ], [ 24.095733, 7.66949 ], [ 25.005048, 7.544578 ], [ 25.714805, 7.487006 ], [ 26.424562, 7.429434 ], [ 27.144515, 7.4367535 ], [ 27.864468, 7.444073 ], [ 28.577523999999997, 7.5638835 ], [ 29.29058, 7.683694 ], [ 30, 7.947636565569603 ], [ 31.054469, 8.339956 ], [ 31.9051405, 8.7575385 ], [ 32.755812, 9.175121 ], [ 33.85790063943177, 10 ] ] }, "solverDiagnostics": { "method": "gle", "converged": true, "factorOfSafety": 1.3276730176249065, "analysisSliceCount": 37, "equilibrium": "force_and_moment", "forceEquilibriumEnforced": true, "momentEquilibriumEnforced": true, "intersliceFunction": "half_sine", "lambda": 0.35051903883210267, "appliedIntersliceScale": 0.35051903883210267, "lambdaInterpretation": "optimized_multiplier", "legacyMethod": false, "iterations": 5, "residualNorm": 2.6562879378380945e-9, "forceResidual": -0.000005310842800655348, "normalizedForceResidual": -2.6562879378380945e-9, "momentResidual": -0.00010349050135971538, "normalizedMomentResidual": -2.009911423426854e-9, "minimumMAlpha": 0.5400140330240933, "minimumIntersliceNormal": -6.078937107337885, "maximumIntersliceCompression": 228.5555236150938, "maximumAbsoluteIntersliceForce": 228.5555236150938, "tensileIntersliceRatio": 0.026597200589101984, "tensileInterfaceCount": 2, "tensileBaseSliceCount": 1, "excessiveIntersliceForce": false, "tensionDetected": true, "appliedTensionCrack": null, "engineeringReviewRequired": true, "note": "O método satisfaz simultaneamente equilíbrio global de forças e momentos. 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"gle", "quantity": "factor_of_safety", "expected": 1.3276299802582405, "actual": 1.3276730176249065, "absoluteTolerance": 0.0001, "absoluteDeviation": 0.00004303736666599889, "relativeDeviationPercent": 0.0032416687861799858, "passed": true }, { "method": "gle", "quantity": "sliding_mass_weight_kn_m", "expected": 1999.347557545945, "actual": 1999.3475575459452, "absoluteTolerance": 0.000001, "absoluteDeviation": 2.2737367544323206e-13, "relativeDeviationPercent": 1.1372393688384868e-14, "passed": true }, { "method": "gle", "quantity": "surface_entry_x_m", "expected": 8.104458978149216, "actual": 8.104458978149214, "absoluteTolerance": 1e-9, "absoluteDeviation": 1.7763568394002505e-15, "relativeDeviationPercent": 2.1918265539865934e-14, "passed": true }, { "method": "gle", "quantity": "surface_exit_x_m", "expected": 33.85790063943177, "actual": 33.85790063943177, "absoluteTolerance": 1e-9, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "gle", "quantity": "maximum_pore_pressure_kpa", "expected": 39.421834193644735, "actual": 39.43389348828947, "absoluteTolerance": 0.02, "absoluteDeviation": 0.012059294644735985, "relativeDeviationPercent": 0.030590394616088375, "passed": true }, { "method": "gle", "quantity": "solver_lambda", "expected": 0.3455728750283031, "actual": 0.35051903883210267, "absoluteTolerance": 0.0055, "absoluteDeviation": 0.004946163803799586, "relativeDeviationPercent": 1.431293993602503, "passed": true } ], "passed": true }, { "id": "slide2-problem-44-power-curve-fixed-surface", "title": "Slide2 Problema 44 - Power Curve em superfície circular publicada", "file": "cases/slide2-problem-44-power-curve-fixed-surface.json", "inputSha256": "50e512f2021e6b7e6e609ff32f7b1b13d91a6d44f080b17245cc1a9f011d5d08", "source": { "publisher": "Rocscience Inc.", "document": "Slide2 Slope Stability Verification Manual", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Slide_SlopeStabilityVerification.pdf", "locator": "Problema 44, páginas 164-166; Figuras 44.1-44.2 e Tabelas 44.1-44.2", "referenceKind": "derived_from_published_verification_problem", "originalReference": "Baker (2003), exemplo 1 citado no manual; publicação correlata: Baker (2004), “Nonlinear Mohr Envelopes Based on Triaxial Data”, DOI 10.1061/(ASCE)1090-0241(2004)130:5(498)", "notes": "A geometria, os parâmetros Power Curve, a superfície crítica Janbu e os resultados foram transcritos do manual oficial. A Tabela 44.1 imprime γ=19,5 kN/m³, mas esse valor não reproduz a própria Tabela 44.2; γ=18 kN/m³, informado para os exemplos no artigo original e também documentado na reprodução pública independente XSLOPE VP44, fecha simultaneamente FS e σ'n,max. O benchmark registra essa errata de forma explícita." }, "executions": [ { "method": "janbu_simplified", "factorOfSafety": 0.9204555343972644, "analysisType": "fixed_surface", "analysisSliceCount": 25, "surface": { "type": "circle", "cx": -2.859, "cy": 9.936, "r": 10.283 }, "metrics": { "analysis_slice_count": 25, "sliding_mass_weight_kn_m": 117.42648916831254, "surface_entry_x_m": 0.09150443899999999, "surface_exit_x_m": 6.640894368, "maximum_pore_pressure_kpa": 0, "solver_lambda": null, "applied_tension_crack_x_m": null, "applied_tension_crack_depth_m": null, "applied_tension_crack_base_limit_deg": null, "applied_tension_crack_water_depth_m": null, "applied_tension_crack_unit_water_weight_kn_m3": null, "tension_crack_water_force_kn_m": null, "tension_crack_water_application_height_m": null, "maximum_effective_normal_stress_kpa": 15.394043957639951, "support_applied_element_count": 0, "support_active_element_count": 0, "support_passive_element_count": 0, 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"https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Slide_SlopeStabilityVerification.pdf", "locator": "Problema 54, páginas 196-198; Figura 54.1, Tabela 54.1, Tabela 54.2 e Figura 54.2", "referenceKind": "published_verification_problem", "originalReference": "Yamagami, Jiang e Ueno (2000), A limit equilibrium stability analysis of slope with stabilizing piles, Slope Stability 2000, pp. 343-354", "notes": "A Figura 54.2 publica a superfície Bishop sem estaca: centro (2,674; 7,573), raio 8,031 m, extremos (0,000; 0,000) e (9,867; 4,000), com FS Slide2=1,102." }, "executions": [ { "method": "bishop", "factorOfSafety": 1.1007116900071043, "analysisType": "fixed_surface", "analysisSliceCount": 100, "surface": { "type": "circle", "cx": 2.674, "cy": 7.573, "r": 8.031 }, "metrics": { "analysis_slice_count": 100, "sliding_mass_weight_kn_m": 289.34425842977265, "surface_entry_x_m": 0.0002820290000000031, "surface_exit_x_m": 9.866400990000002, "maximum_pore_pressure_kpa": 0, 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"passiveElementCount": 0, "appliedForcePerWidthKnM": 0, "units": "kN/m (largura fora do plano)", "methodAReference": "Duncan & Wright (2005), cap. 8: força ativa admissível no lado das ações.", "methodBReference": "Duncan & Wright (2005), cap. 8: capacidade passiva última no lado resistente, dividida pelo FS.", "interactionLimit": "LEM não calcula deslocamentos, deformações nem a carga real mobilizada no suporte.", "rows": [] } } ], "comparisons": [ { "method": "bishop", "quantity": "factor_of_safety", "expected": 1.102, "actual": 1.1007116900071043, "absoluteTolerance": 0.002, "absoluteDeviation": 0.001288309992895753, "relativeDeviationPercent": 0.11690653293064909, "passed": true } ], "passed": true }, { "id": "slide2-problem-54-micropile-supported", "title": "Slide2 Problema 54 - microestaca acoplada ao LEM", "file": "cases/slide2-problem-54-micropile-supported.json", "inputSha256": "8c221f256c330b3b05d1b8b416cec78c086eefcb07263cde9d4cc57d6f8cbaa5", "source": { "publisher": "Rocscience Inc.", "document": "Slide2 Slope Stability Verification Manual", "url": "https://static.rocscience.cloud/assets/verification-and-theory/Slide2/Slide_SlopeStabilityVerification.pdf", "locator": "Problema 54, páginas 196-198; Figura 54.1, Tabela 54.1, Tabela 54.2 e Figura 54.3", "referenceKind": "published_verification_problem", "originalReference": "Yamagami, Jiang e Ueno (2000), A limit equilibrium stability analysis of slope with stabilizing piles, Slope Stability 2000, pp. 343-354", "notes": "A fonte define uma fileira passiva de microestacas em x=9 m, de y=4 a -2 m, com espaçamento de 1 m e resistência transversal de 10,7 kN. A Figura 54.3 publica a superfície reforçada: centro (2,674; 7,376), raio 8,102 m e FS Slide2=1,193; a referência original publica FS=1,20." }, "executions": [ { "method": "bishop", "factorOfSafety": 1.1951244845390376, "analysisType": "fixed_surface", "analysisSliceCount": 100, "surface": { "type": "circle", "cx": 2.674, "cy": 7.376, "r": 8.102 }, "metrics": { "analysis_slice_count": 100, "sliding_mass_weight_kn_m": 334.7311626305784, "surface_entry_x_m": -0.6781676570000001, "surface_exit_x_m": 10.039122402, "maximum_pore_pressure_kpa": 0, "solver_lambda": null, "applied_tension_crack_x_m": null, "applied_tension_crack_depth_m": null, "applied_tension_crack_base_limit_deg": null, "applied_tension_crack_water_depth_m": null, "applied_tension_crack_unit_water_weight_kn_m3": null, "tension_crack_water_force_kn_m": null, "tension_crack_water_application_height_m": null, "maximum_effective_normal_stress_kpa": null, "support_applied_element_count": 1, "support_active_element_count": 0, "support_passive_element_count": 1, "support_applied_force_per_width_kn_m": 10.7, "support_shear_component_kn_m": 10.7, "support_normal_component_kn_m": 0, "support_available_force_per_width_kn_m": 10.7 }, "strengthDiagnostics": { "nonlinearSliceCount": 0, "modelTypes": [ "mohr_coulomb" ], "maximumStrengthIterations": 0, "maximumAbsoluteStrengthResidual": 0, "bartonCapSliceCount": 0, "bartonRatioCapSliceCount": 0, "engineeringReviewRequired": false, "rows": [] }, "supportDiagnostics": { "appliedElementCount": 1, "activeElementCount": 0, "passiveElementCount": 1, "appliedForcePerWidthKnM": 10.7, "units": "kN/m (largura fora do plano)", "methodAReference": "Duncan & Wright (2005), cap. 8: força ativa admissível no lado das ações.", "methodBReference": "Duncan & Wright (2005), cap. 8: capacidade passiva última no lado resistente, dividida pelo FS.", "interactionLimit": "LEM não calcula deslocamentos, deformações nem a carga real mobilizada no suporte.", "rows": [ { "slice": 91, "id": "MICROPILE-P54", "type": "pile_micro_pile", "application": "passive", "forcePerWidthKnM": 10.7, "availableForcePerWidthKnM": 10.7, "shearComponentKnM": 10.7, "normalComponentKnM": 0, "spacingM": 1, "stableLengthM": 4.313971947924429, "bondedLengthM": null, "bondedLengthStableM": null, "bondedLengthSlidingM": null, "capacityBasis": "ultimate", "governingFailureMode": "pile_shear", "capacityReference": "Slide2 Slope Stability Verification Manual, Problema 54, seção 54.2", "capacityCondition": "short_term" } ] } } ], "comparisons": [ { "method": "bishop", "quantity": "factor_of_safety", "expected": 1.193, "actual": 1.1951244845390376, "absoluteTolerance": 0.003, "absoluteDeviation": 0.0021244845390375744, "relativeDeviationPercent": 0.1780791734314815, "passed": true }, { "method": "bishop", "quantity": "support_applied_element_count", "expected": 1, "actual": 1, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "bishop", "quantity": "support_passive_element_count", "expected": 1, "actual": 1, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "bishop", "quantity": "support_applied_force_per_width_kn_m", "expected": 10.7, "actual": 10.7, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "bishop", "quantity": "support_available_force_per_width_kn_m", "expected": 10.7, "actual": 10.7, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "bishop", "quantity": "support_shear_component_kn_m", "expected": 10.7, "actual": 10.7, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "bishop", "quantity": "support_normal_component_kn_m", "expected": 0, "actual": 0, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": null, "passed": true } ], "passed": true }, { "id": "seequent-fixed-anchor-capacity-point", "title": "Seequent SLOPE/W - força de ancoragem por largura", "file": "cases/seequent-fixed-anchor-capacity-point.json", "inputSha256": "b1308cbdae7fa0ed69810504ad09ccf65715f61849ddb6752d91e02d3f414e24", "source": { "publisher": "Seequent, The Bentley Subsurface Company", "document": "GeoStudio Example - Reinforcement with User Defined", "url": "https://files.seequent.com/GeoStudio/SlopeW/Reinforcement%20with%20User%20Defined.pdf", "locator": "Caso 1, p. 2 e 6, Equações 1 e 2", "referenceKind": "published_verification_problem", "originalReference": "SLOPE/W example file, Reinforcement with User Defined, Case 1", "notes": "O exemplo independente publica capacidade de 120 kN, espaçamento de 2 m e fator de redução 1,2, resultando em 50 kN/m." }, "executions": [ { "method": "support_capacity", "factorOfSafety": null, "analysisType": "support_capacity_point", "analysisSliceCount": 0, "metrics": { "support_force_kn": 100, "support_force_per_width_kn_m": 50, "support_available_force_kn": 100, "support_available_force_per_width_kn_m": 50, "support_bonded_length_m": null, "support_bonded_length_stable_m": null, "support_bonded_length_sliding_m": null }, "supportDiagnostics": { "ok": true, "forceKn": 100, "forcePerWidthKnM": 50, "availableForceKn": 100, "availableForcePerWidthKnM": 50, "governingFailureMode": "tensile", "application": "active", "activeForceMode": "lock_off", "capacityBasis": "ultimate", "spacingM": 2, "stableLengthM": 0, "bondedLengthM": null, "bondedLengthStableM": null, "bondedLengthSlidingM": null, "candidates": [ { "failureMode": "tensile", "forceKn": 100 } ] } } ], "comparisons": [ { "method": "support_capacity", "quantity": "support_force_kn", "expected": 100, "actual": 100, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_force_per_width_kn_m", "expected": 50, "actual": 50, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_available_force_kn", "expected": 100, "actual": 100, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_available_force_per_width_kn_m", "expected": 50, "actual": 50, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true } ], "passed": true }, { "id": "slide2-grouted-tieback-pullout-point", "title": "Slide2 - diagrama de tirante governado por pullout", "file": "cases/slide2-grouted-tieback-pullout-point.json", "inputSha256": "e599193585f8a495011a574f31f0279caf6999dfe38faf79317768f0c0b72983", "source": { "publisher": "Rocscience Inc.", "document": "Slide2 Documentation - Grouted Tieback", "url": "https://www.rocscience.com/help/slide2/documentation/slide-model/support-2/define-support-properties/grouted-tieback", "locator": "Implementation of Grouted Tieback Support, Equações 1 a 4", "referenceKind": "analytical_solution_from_published_method", "originalReference": "F1=B·Lo/S; F2=T/S; F3=(P+B·Li)/S; F=min(F1,F2,F3)", "notes": "Caso fechado em que Lo=2,0 m, Li=5,5 m e o pullout é o modo governante." }, "executions": [ { "method": "support_capacity", "factorOfSafety": null, "analysisType": "support_capacity_point", "analysisSliceCount": 0, "metrics": { "support_force_kn": 30, "support_force_per_width_kn_m": 15, "support_available_force_kn": 30, "support_available_force_per_width_kn_m": 15, "support_bonded_length_m": 7.5, "support_bonded_length_stable_m": 2, "support_bonded_length_sliding_m": 5.5 }, "supportDiagnostics": { "ok": true, "forceKn": 30, "forcePerWidthKnM": 15, "availableForceKn": 30, "availableForcePerWidthKnM": 15, "governingFailureMode": "pullout", "application": "active", "activeForceMode": "mobilized_capacity", "capacityBasis": "allowable", "spacingM": 2, "stableLengthM": 2, "bondedLengthM": 7.5, "bondedLengthStableM": 2, "bondedLengthSlidingM": 5.5, "candidates": [ { "failureMode": "tensile", "forceKn": 100 }, { "failureMode": "pullout", "forceKn": 30, "bondedLengthM": 7.5, "bondedLengthStableM": 2, "bondedLengthSlidingM": 5.5 }, { "failureMode": "stripping", "forceKn": 132.5, "bondedLengthM": 7.5, "bondedLengthStableM": 2, "bondedLengthSlidingM": 5.5 } ] } } ], "comparisons": [ { "method": "support_capacity", "quantity": "support_force_kn", "expected": 30, "actual": 30, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_force_per_width_kn_m", "expected": 15, "actual": 15, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_available_force_kn", "expected": 30, "actual": 30, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_available_force_per_width_kn_m", "expected": 15, "actual": 15, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_bonded_length_m", "expected": 7.5, "actual": 7.5, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_bonded_length_stable_m", "expected": 2, "actual": 2, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_bonded_length_sliding_m", "expected": 5.5, "actual": 5.5, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true } ], "passed": true }, { "id": "slide2-grouted-tieback-stripping-point", "title": "Slide2 - diagrama de tirante governado por stripping", "file": "cases/slide2-grouted-tieback-stripping-point.json", "inputSha256": "6ff77a5a2ff1491afbdc3b52afdf6469bc551fb629306de4c53337c43411d476", "source": { "publisher": "Rocscience Inc.", "document": "Slide2 Documentation - Grouted Tieback", "url": "https://www.rocscience.com/help/slide2/documentation/slide-model/support-2/define-support-properties/grouted-tieback", "locator": "Implementation of Grouted Tieback Support, Equações 1 a 4", "referenceKind": "analytical_solution_from_published_method", "originalReference": "F1=B·Lo/S; F2=T/S; F3=(P+B·Li)/S; F=min(F1,F2,F3)", "notes": "Caso fechado em que todo o trecho aderido está além da superfície e a capacidade da placa governa o stripping." }, "executions": [ { "method": "support_capacity", "factorOfSafety": null, "analysisType": "support_capacity_point", "analysisSliceCount": 0, "metrics": { "support_force_kn": 50, "support_force_per_width_kn_m": 25, "support_available_force_kn": 50, "support_available_force_per_width_kn_m": 25, "support_bonded_length_m": 7.5, "support_bonded_length_stable_m": 7.5, "support_bonded_length_sliding_m": 0 }, "supportDiagnostics": { "ok": true, "forceKn": 50, "forcePerWidthKnM": 25, "availableForceKn": 50, "availableForcePerWidthKnM": 25, "governingFailureMode": "stripping", "application": "active", "activeForceMode": "mobilized_capacity", "capacityBasis": "allowable", "spacingM": 2, "stableLengthM": 7.5, "bondedLengthM": 7.5, "bondedLengthStableM": 7.5, "bondedLengthSlidingM": 0, "candidates": [ { "failureMode": "tensile", "forceKn": 100 }, { "failureMode": "pullout", "forceKn": 112.5, "bondedLengthM": 7.5, "bondedLengthStableM": 7.5, "bondedLengthSlidingM": 0 }, { "failureMode": "stripping", "forceKn": 50, "bondedLengthM": 7.5, "bondedLengthStableM": 7.5, "bondedLengthSlidingM": 0 } ] } } ], "comparisons": [ { "method": "support_capacity", "quantity": "support_force_kn", "expected": 50, "actual": 50, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_force_per_width_kn_m", "expected": 25, "actual": 25, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_available_force_kn", "expected": 50, "actual": 50, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_available_force_per_width_kn_m", "expected": 25, "actual": 25, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_bonded_length_m", "expected": 7.5, "actual": 7.5, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_bonded_length_stable_m", "expected": 7.5, "actual": 7.5, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": 0, "passed": true }, { "method": "support_capacity", "quantity": "support_bonded_length_sliding_m", "expected": 0, "actual": 0, "absoluteTolerance": 1e-12, "absoluteDeviation": 0, "relativeDeviationPercent": null, "passed": true } ], "passed": true }, { "id": "slide2-tutorial-08-fixed-surface-reliability", "title": "Slide2 Tutorial 08 - confiabilidade LHS completa em superfície fixa", "file": "cases/slide2-tutorial-08-fixed-surface-reliability.json", "inputSha256": "5339a88200e407c21c88dd09f7c459e75f8a377757680e1d7da44188994843ad", "source": { "publisher": "Rocscience", "document": "Slide2 Tutorial 08 - Probabilistic Analysis", "url": "https://www.rocscience.com/help/slide2/tutorials/tutorials-overview/probabilistic-analysis-tutorial", "locator": "Seções 2 a 4; tabela de variáveis aleatórias; figuras 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não é probabilidade total de ruptura da obra.", "Incerteza epistemológica, erro de modelo, variabilidade espacial e mecanismos não modelados não estão incluídos." ], "literatureReferences": [ "USBR Best Practices in Dam and Levee Safety Risk Analysis, Chapter A-7, Probabilistic Limit State Analysis.", "NIST/SEMATECH e-Handbook of Statistical Methods, §7.2.4.1, Wilson confidence interval.", "NIST/SEMATECH e-Handbook, §§1.3.6.6.17, 8.1.6.5 e 8.1.6.1: distribuições Beta, Gamma e Exponencial." ] } } ], "comparisons": [ { "method": "bishop", "quantity": "reliability_deterministic_fs", "expected": 1.4603298192567944, "actual": 1.4601986939803826, "absoluteTolerance": 0.001, "absoluteDeviation": 0.00013112527641179206, "relativeDeviationPercent": 0.008979154892456119, "passed": true }, { "method": "bishop", "quantity": "reliability_sample_mean_fs", "expected": 1.4619834020951443, "actual": 1.4581779273665383, "absoluteTolerance": 0.009, "absoluteDeviation": 0.0038054747286060397, 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"cases/nist-wilson-score-interval-point.json", "inputSha256": "4e84aaf0e78a65c6dd43d8e0a897d01d00a531e10cc045f9aa61647103111345", "source": { "publisher": "National Institute of Standards and Technology", "document": "NIST/SEMATECH e-Handbook of Statistical Methods", "url": "https://www.itl.nist.gov/div898/handbook/prc/section2/prc241.htm", "locator": "Seção 7.2.4.1, fórmulas de Wilson e exemplo unilateral de 95%", "referenceKind": "analytical_solution_from_published_method", "originalReference": "NIST/SEMATECH e-Handbook, 7.2.4.1 Confidence intervals", "notes": "O exemplo NIST usa p-hat=0,13, n=200 e z=1,645. Um intervalo bilateral de 90% usa o mesmo quantil do limite unilateral de 95%." }, "executions": [ { "method": "wilson_score", "factorOfSafety": null, "analysisType": "reliability_statistics_point", "analysisSliceCount": 0, "metrics": { "wilson_lower": 0.09577274824346055, "wilson_upper": 0.17410415061953427 }, "reliabilityDiagnostics": { "confidenceLevel": 0.9, "method": "wilson_score", "lower": 0.09577274824346055, "upper": 0.17410415061953427 } } ], "comparisons": [ { "method": "wilson_score", "quantity": "wilson_lower", "expected": 0.09577, "actual": 0.09577274824346055, "absoluteTolerance": 0.000005, "absoluteDeviation": 0.000002748243460554134, "relativeDeviationPercent": 0.0028696287569741404, "passed": true }, { "method": "wilson_score", "quantity": "wilson_upper", "expected": 0.1741041506736882, "actual": 0.17410415061953427, "absoluteTolerance": 1e-9, "absoluteDeviation": 5.415393133922919e-11, "relativeDeviationPercent": 3.110433101662596e-8, "passed": true } ], "passed": true }, { "id": "usbr-a7-normal-tail-probability", "title": "USBR A-7 - probabilidade pela cauda normal", "file": "cases/usbr-a7-normal-tail-probability.json", "inputSha256": "5f90ba0c920c8bf27bea094f1248f12a234f2747463e028eb8221d48278cc9ca", "source": { "publisher": "U.S. Bureau of Reclamation", "document": "Best Practices in Dam and Levee Safety Risk Analysis - Chapter A-7", "url": "https://www.usbr.gov/damsafety/risk/BestPractices/Chapters/A7-ProbabilisticLimitStateAnalysis.pdf", "locator": "Seção A-7.2, Equações A-7-10 e A-7-11, p. A-7-10", "referenceKind": "published_hand_calculation", "originalReference": "USBR (2019), Probabilistic Limit State Analysis", "notes": "O USBR publica índice de confiabilidade beta=-1,13 e probabilidade de FS<1 igual a 87,11% para o exemplo de levantamento no pé do dique." }, "executions": [ { "method": "normal_cdf", "factorOfSafety": null, "analysisType": "reliability_statistics_point", "analysisSliceCount": 0, "metrics": { "normal_lower_tail_probability": 0.12923816439553837, "normal_upper_tail_probability": 0.8707618356044616 }, "reliabilityDiagnostics": { "standardNormalZ": -1.13, "lowerTailProbability": 0.12923816439553837, "upperTailProbability": 0.8707618356044616, "selectedTail": "upper" } } ], "comparisons": [ { "method": "normal_cdf", "quantity": "normal_upper_tail_probability", "expected": 0.8711, "actual": 0.8707618356044616, "absoluteTolerance": 0.0005, "absoluteDeviation": 0.000338164395538354, "relativeDeviationPercent": 0.03882038750296797, "passed": true } ], "passed": true }, { "id": "nist-beta-cdf-point", "title": "NIST Beta - razão beta incompleta em ponto exato", "file": "cases/nist-beta-cdf-point.json", "inputSha256": "e520d64045cdbbe6630744f69f0e8ce098cb739d94e3c773ac8b0830f47c54a1", "source": { "publisher": "National Institute of Standards and Technology (NIST)", "document": "NIST/SEMATECH e-Handbook of Statistical Methods - Beta Distribution", "url": "https://www.itl.nist.gov/div898/handbook/eda/section3/eda366h.htm", "locator": "Seção 1.3.6.6.17, Cumulative Distribution Function e Common Statistics", "referenceKind": "published_hand_calculation", "originalReference": "NIST/SEMATECH e-Handbook of Statistical Methods", "notes": "A NIST define F(x)=I_x(p,q). Para p=2, q=3, a densidade normalizada é 12x(1-x)^2 e a integral em x=0,5 vale exatamente 0,6875." }, "executions": [ { "method": "beta_cdf", "factorOfSafety": null, "analysisType": "reliability_statistics_point", "analysisSliceCount": 0, "metrics": { "beta_cdf_probability": 0.6875000000000009 }, "reliabilityDiagnostics": { "value": 0.5, "firstShape": 2, "secondShape": 3, "cumulativeProbability": 0.6875000000000009 } } ], "comparisons": [ { "method": "beta_cdf", "quantity": "beta_cdf_probability", "expected": 0.6875, "actual": 0.6875000000000009, "absoluteTolerance": 1e-12, "absoluteDeviation": 8.881784197001252e-16, "relativeDeviationPercent": 1.2918958832001823e-13, "passed": true } ], "passed": true }, { "id": "nist-gamma-cdf-point", "title": "NIST Gamma - exemplo publicado de CDF", "file": "cases/nist-gamma-cdf-point.json", "inputSha256": "844874174dc931a4f2e9f226a76ec383f2b89e292cf95b4830e7706f98ffce05", "source": { "publisher": "National Institute of Standards and Technology (NIST)", "document": "NIST/SEMATECH e-Handbook of Statistical Methods - Gamma", "url": "https://www.itl.nist.gov/div898/handbook/apr/section1/apr165.htm", "locator": "Seção 8.1.6.5, exemplo com alpha=2, beta=30 e t=24", "referenceKind": "published_hand_calculation", "originalReference": "NIST/SEMATECH e-Handbook of Statistical Methods", "notes": "A NIST publica CDF=0,19121 para forma alpha=2, escala beta=30 e t=24." }, "executions": [ { "method": "gamma_cdf", "factorOfSafety": null, "analysisType": "reliability_statistics_point", "analysisSliceCount": 0, "metrics": { "gamma_cdf_probability": 0.19120786458900108 }, "reliabilityDiagnostics": { "value": 24, "shape": 2, "scale": 30, "cumulativeProbability": 0.19120786458900108 } } ], "comparisons": [ { "method": "gamma_cdf", "quantity": "gamma_cdf_probability", "expected": 0.19121, "actual": 0.19120786458900108, "absoluteTolerance": 0.000005, "absoluteDeviation": 0.0000021354109989157877, "relativeDeviationPercent": 0.0011167883473227277, "passed": true } ], "passed": true }, { "id": "nist-exponential-cdf-point", "title": "NIST Exponencial - exemplo publicado de CDF", "file": "cases/nist-exponential-cdf-point.json", "inputSha256": "5ce577248606d96a2a155356a1748a49764a2b75b1c8dafdadd4af590b922e5a", "source": { "publisher": "National Institute of Standards and Technology (NIST)", "document": "NIST/SEMATECH e-Handbook of Statistical Methods - Exponential", "url": "https://www.itl.nist.gov/div898/handbook/apr/section1/apr161.htm", "locator": "Seção 8.1.6.1, exemplo lambda=0,01 e t=100 horas", "referenceKind": "published_hand_calculation", "originalReference": "NIST/SEMATECH e-Handbook of Statistical Methods", "notes": "A NIST publica CDF=0,6321 para taxa lambda=0,01 e t=100." }, "executions": [ { "method": "exponential_cdf", "factorOfSafety": null, "analysisType": "reliability_statistics_point", "analysisSliceCount": 0, "metrics": { "exponential_cdf_probability": 0.6321205588285577 }, "reliabilityDiagnostics": { "value": 100, "mean": 100, "rate": 0.01, "cumulativeProbability": 0.6321205588285577 } } ], "comparisons": [ { "method": "exponential_cdf", "quantity": "exponential_cdf_probability", "expected": 0.6321, "actual": 0.6321205588285577, "absoluteTolerance": 0.00005, "absoluteDeviation": 0.000020558828557670772, "relativeDeviationPercent": 0.0032524645716928923, "passed": true } ], "passed": true } ] } }