Observations on Limit Equilibrium–Based Slope Reliability Problems with Inclined Weak Seams

This study addresses the complexity of slope reliability problems based on limit equilibrium methods (LEMs). The main focus is on the existence of multiple failure modes that poses difficulty to many LEM-based slope reliability methods. In particular, when weak seams are present, the failure modes associated with those seams may be difficult to detect. A systematic way of searching the failure modes is proposed, and its robustness over slopes with or without weak seams is demonstrated. It is found that in the presence of weak seams, assuming circular slip surfaces may cause underestimation of slope failure probability. The conclusion of the study promotes the use of finite elements as the stability method for reliability evaluation because it is not necessary to search for failure surfaces in finite-element stability analysis.

[1]  M. Rosenblatt Remarks on a Multivariate Transformation , 1952 .

[2]  A. Bishop The use of the Slip Circle in the Stability Analysis of Slopes , 1955 .

[3]  E. Spencer A Method of Analysis of the Stability of Embankments Assuming Parallel Inter-Slice Forces , 1967 .

[4]  Eduardo Alonso,et al.  RISK ANALYSIS OF SLOPES AND ITS APPLICATION TO SLOPES IN CANADIAN SENSITIVE CLAYS , 1976 .

[5]  E. Vanmarcke Reliability of Earth Slopes , 1977 .

[6]  Reuven Y. Rubinstein,et al.  Simulation and the Monte Carlo Method , 1981 .

[7]  Dimitri A. Grivas,et al.  Probabilistic “φ = 0” stability analysis in strain-softening soil , 1982 .

[8]  M. Shinozuka Basic Analysis of Structural Safety , 1983 .

[9]  Wilson H. Tang,et al.  Probability concepts in engineering planning and design , 1984 .

[10]  Kiyoshi Ishii,et al.  Stochastic finite element method for slope stability analysis , 1986 .

[11]  R. Melchers Importance sampling in structural systems , 1989 .

[12]  Tien H. Wu,et al.  System reliability of slope stability , 1990 .

[13]  R. N. Chowdhury,et al.  RATIONAL POLYNOMIAL TECHNIQUE IN SLOPE-RELIABILITY ANALYSIS , 1993 .

[14]  J. Christian,et al.  Reliability Applied to Slope Stability Analysis , 1994 .

[15]  Wilson H. Tang,et al.  Probabilistic evaluation on progressive failure in cut slopes , 1994 .

[16]  R. N. Chowdhury,et al.  Geotechnical system reliability of slopes , 1995 .

[17]  V. R. Greco EFFICIENT MONTE CARLO TECHNIQUE FOR LOCATING CRITICAL SLIP SURFACE , 1996 .

[18]  Wilson H. Tang,et al.  Probabilistic slope analysis using Janbu's generalized procedure of slices , 1997 .

[19]  Robert B. Gilbert,et al.  SLOPE RELIABILITY ANALYSIS USING GENERALIZED METHOD OF SLICES , 1998 .

[20]  D. V. Griffiths,et al.  SLOPE STABILITY ANALYSIS BY FINITE ELEMENTS , 1999 .

[21]  Abdallah I. Husein Malkawi,et al.  Uncertainty and reliability analysis applied to slope stability , 2000 .

[22]  Gautam Bhattacharya,et al.  Direct search for minimum reliability index of earth slopes , 2003 .

[23]  J. Beck,et al.  Important sampling in high dimensions , 2003 .

[24]  Thomas F. Wolff,et al.  Discussion of "Probabilistic slope stability analysis for practice" , 2003 .

[25]  Gordon A. Fenton,et al.  Probabilistic slope stability analysis by finite elements , 2004 .

[26]  Dirk P. Kroese,et al.  Simulation and the Monte Carlo method , 1981, Wiley series in probability and mathematical statistics.

[27]  Gordon A. Fenton,et al.  Traditional and Advanced Probabilistic Slope Stability Analysis , 2007 .

[28]  Kenneth Gavin,et al.  Simultaneous Determination of Critical Slip Surface and Reliability Index for Slopes , 2007 .

[29]  W. Allen Marr,et al.  Probability and Risk of Slope Failure , 2008 .

[30]  Kok-Kwang Phoon,et al.  Efficient Evaluation of Reliability for Slopes with Circular Slip Surfaces Using Importance Sampling , 2009 .