Three-dimensional slope reliability and risk assessment using auxiliary random finite element method

Computers and Geotechnics - Tập 79 - Trang 146-158 - 2016
Te Xiao1, Dian-Qing Li1, Zi-Jun Cao1, Siu-Kui Au2, Kok-Kwang Phoon3
1State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, 8 Donghu South Road, Wuhan 430072, PR China
2Institute for Risk and Uncertainty, University of Liverpool, Harrison Hughes Building, Brownlow Hill, Liverpool L69 3GH, United Kingdom
3Department of Civil and Environmental Engineering, National University of Singapore, Blk E1A, #07-03, 1 Engineering Drive 2, Singapore 117576, Singapore

Tài liệu tham khảo

Ang, 2007 Au, 2007, Augmenting approximate solutions for consistent reliability analysis, Probab Eng Mech, 22, 77, 10.1016/j.probengmech.2006.08.004 Au, 2001, Estimation of small failure probabilities in high dimensions by subset simulation, Probab Eng Mech, 16, 263, 10.1016/S0266-8920(01)00019-4 Au, 2014 Cao, 2014, Bayesian model comparison and selection of spatial correlation functions for soil parameters, Struct Saf, 49, 10, 10.1016/j.strusafe.2013.06.003 Cao, 2016, Quantification of prior knowledge in geotechnical site characterization, Eng Geol, 203, 107, 10.1016/j.enggeo.2015.08.018 Chen, 2016, A physically-based multi-hazard risk assessment platform for regional rainfall-induced slope failures and debris flows, Eng Geol, 203, 15, 10.1016/j.enggeo.2015.12.009 Ching, 2016, Application of the transitional Markov chain Monte Carlo algorithm to probabilistic site characterization, Eng Geol, 203, 151, 10.1016/j.enggeo.2015.10.015 Dassault Systèmes. Abaqus unified FEA; 2015. <http://www.3ds.com/products-services/simulia/portfolio/abaqus/latest-release/>. Griffiths, 1999, Slope stability analysis by finite elements, Geotechnique, 49, 387, 10.1680/geot.1999.49.3.387 Griffiths, 2004, Probabilistic slope stability analysis by finite elements, J Geotech Geoenviron Eng, 130, 507, 10.1061/(ASCE)1090-0241(2004)130:5(507) Griffiths, 2007, Three-dimensional slope stability analysis by elasto-plastic finite elements, Geotechnique, 57, 537, 10.1680/geot.2007.57.6.537 Griffiths, 2008, Discussion: three-dimensional slope stability analysis by elasto-plastic finite elements, Geotechnique, 58, 683, 10.1680/geot.2008.D.010 Griffiths, 2009, On the reliability of earth slopes in three dimensions, Proc Roy Soc Lond A: Math, Phys Eng Sci, 465, 3145, 10.1098/rspa.2009.0165 Hicks, 2010, Influence of heterogeneity on the reliability and failure of a long 3D slope, Comput Geotech, 37, 948, 10.1016/j.compgeo.2010.08.001 Hicks, 2014, Influence of heterogeneity on 3D slope reliability and failure consequence, Comput Geotech, 61, 198, 10.1016/j.compgeo.2014.05.004 Huang, 2013, Quantitative risk assessment of landslide by limit analysis and random fields, Comput Geotech, 53, 60, 10.1016/j.compgeo.2013.04.009 Jamshidi Chenari, 2015, Effects of anisotropy in correlation structure on the stability of an undrained clay slope, Georisk, 9, 109 Ji, 2012, Stratified response surfaces for system probabilistic evaluation of slopes, J Geotech Geoenviron Eng, 138, 1398, 10.1061/(ASCE)GT.1943-5606.0000711 Ji, 2014, A simplified approach for modelling spatial variability of undrained shear strength in out-plane failure mode of earth embankment, Eng Geol, 183, 315, 10.1016/j.enggeo.2014.09.004 Ji, 2014, Long embankment failure accounting for longitudinal spatial variation – a probabilistic study, Comput Geotech, 61, 50, 10.1016/j.compgeo.2014.05.001 Jiang, 2015, Efficient system reliability analysis of slope stability in spatially variable soils using Monte Carlo Simulation, J Geotech Geoenviron Eng, 141, 04014096, 10.1061/(ASCE)GT.1943-5606.0001227 Jiang, 2014, Slope reliability analysis considering spatially variable shear strength parameters using a non-intrusive stochastic finite element method, Eng Geol, 168, 120, 10.1016/j.enggeo.2013.11.006 Kasama, 2016, Effect of spatial variability on the slope stability using random field numerical limit analyses, Georisk, 10, 42 Le, 2014, Reliability of heterogeneous slopes with cross-correlated shear strength parameters, Georisk, 8, 250 Li, 1993, Optimal discretization of random fields, J Eng Mech, 119, 1136, 10.1061/(ASCE)0733-9399(1993)119:6(1136) Li, 2011, Stochastic response surface method for reliability analysis of rock slopes involving correlated non-normal variables, Comput Geotech, 38, 58, 10.1016/j.compgeo.2010.10.006 Li, 2014, Effect of spatially variable shear strength parameters with linearly increasing mean trend on reliability of infinite slopes, Struct Saf, 49, 45, 10.1016/j.strusafe.2013.08.005 Li, 2015, A multiple response-surface method for slope reliability analysis considering spatial variability of soil properties, Eng Geol, 187, 60, 10.1016/j.enggeo.2014.12.003 Li, 2015, Bivariate distribution of shear strength parameters using copulas and its impact on geotechnical system reliability, Comput Geotech, 68, 184, 10.1016/j.compgeo.2015.04.002 Li, 2016, Enhancement of random finite element method in reliability analysis and risk assessment of soil slopes using subset simulation, Landslides, 13, 293, 10.1007/s10346-015-0569-2 Li, 2016, Efficient and consistent reliability analysis of soil slope stability using both limit equilibrium analysis and finite element analysis, Appl Math Model, 40, 5216, 10.1016/j.apm.2015.11.044 Li, 2016, Response surface methods for slope reliability analysis: review and comparison, Eng Geol, 203, 3, 10.1016/j.enggeo.2015.09.003 Li, 2016, Evaluating slope stability uncertainty using coupled Markov chain, Comput Geotech, 73, 72, 10.1016/j.compgeo.2015.11.021 Li, 2014, Probabilistic slope stability analysis by risk aggregation, Eng Geol, 176, 57, 10.1016/j.enggeo.2014.04.010 Li, 2015, Comparative analyses of slope reliability in 3D, Eng Geol, 196, 12, 10.1016/j.enggeo.2015.06.012 Lloret-Cabot, 2014, On the estimation of scale of fluctuation in geostatistics, Georisk, 8, 129 Phoon, 1999, Characterization of geotechnical variability, Can Geotech J, 36, 612, 10.1139/t99-038 Phoon, 2014 Pradlwarter, 2010, Local domain Monte Carlo simulation, Struct Saf, 32, 275, 10.1016/j.strusafe.2010.03.009 Santoso, 2011, Effects of soil spatial variability on rainfall-induced landslides, Comput Struct, 89, 893, 10.1016/j.compstruc.2011.02.016 Sudret, 2000 Schuëller, 2004, A critical appraisal of reliability estimation procedures for high dimensions, Probab Eng Mech, 19, 463, 10.1016/j.probengmech.2004.05.004 Tang, 2013, Impact of copula selection on geotechnical reliability under incomplete probability information, Comput Geotech, 49, 264, 10.1016/j.compgeo.2012.12.002 Tang, 2015, Copula-based approaches for evaluating slope reliability under incomplete probability information, Struct Saf, 52, 90, 10.1016/j.strusafe.2014.09.007 Vanmarcke, 1977, Reliability of earth slopes, J Geotech Eng Divis, 103, 1247, 10.1061/AJGEB6.0000518 Vanmarcke EH. Risk of limit-equilibrium failure of long earth slopes: how it depends on length. In: Geotechnical risk assessment & management (GeoRisk 2011), Atlanta, Georgia, United States; June 26–28, 2011. p. 1–24. http://dx.doi.org/10.1061/41183(418)1. Vanmarcke, 2010 Vorechovsky, 2008, Simulation of simply cross correlated random fields by series expansion methods, Struct Saf, 30, 337, 10.1016/j.strusafe.2007.05.002 Wang, 2010, Efficient Monte Carlo simulation of parameter sensitivity in probabilistic slope stability analysis, Comput Geotech, 37, 1015, 10.1016/j.compgeo.2010.08.010 Wang, 2011, Practical reliability analysis of slope stability by advanced Monte Carlo Simulations in a spreadsheet, Can Geotech J, 48, 162, 10.1139/T10-044 Wang, 2016, Bayesian perspective on geotechnical variability and site characterization, Eng Geol, 203, 117, 10.1016/j.enggeo.2015.08.017 Xiao T, Li DQ, Cao ZJ, Tang XS. Non-intrusive reliability analysis of multi-layered slopes in spatially variable soils. In: Schweckendiek T et al., editor. Fifth international symposium on geotechnical safety and risk (ISGSR 2015), Rotterdam, The Netherlands, October 13–16, 2015. Geotechnical safety and risk V; 2015. p. 184–90. Zhu, 2013, Two-dimensional probabilistic infiltration analysis with a spatially varying permeability function, Comput Geotech, 48, 249, 10.1016/j.compgeo.2012.07.010