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《Engineering Journal of Wuhan University》 2012-01
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Reliability analysis of slope stability involving correlated non-normal variables using subset simulation method

ZHANG Man1,2,TANG Xiaosong1,2,LI Dianqing1,2(1.State Key Laboratory of Water Resources and Hydropower EngineeringScience,Wuhan University,Wuhan 430072,China; 2.Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering of EducationMinistry,Wuhan University,Wuhan 430072,China)  
This paper aims to propose a reliability method named subset simulation(SS) method for estimation of small failure probability in high dimensions of slope stability problems involving correlated non-normal random variables.The Nataf transformation is used to transform the correlated non-normal random variables into the independent standard normal variables,which facilitates the simulation of correlated non-normal samples in failure domain and reliability computation using the SS method.A MATLAB-language based computer program called SUBSETREL is developed to carry out the reliability computations.Two examples of reliability analysis for rock slope stability with plane failure are presented to demonstrate the validity and capability of the proposed method.The results indicate that the proposed SS method can compute small failure probability in high dimensions of rock slope stability involving correlated non-normal random variables accurately and efficiently.Furthermore,the proposed SS method can result in the same accuracy as the traditional Monte Carlo simulations;and its efficiency is significantly higher than the traditional Monte Carlo simulations,which can be considered as a potential method for reliability analysis of slope stability,especially for slope stability involving implicit and nonlinear performance function.These results highly extend the application of the SS method to reliability analysis of slope stability.
【Fund】: 国家自然科学基金重点项目(编号:50839004);国家自然科学基金项目(编号:51028901);; 教育部新世纪优秀人才计划(编号:NCET-08-0415)
【CateGory Index】: TU43
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