Slope Reliability Analysis Considering Site-Specific Performance Information

The performance of a slope, such as surviving a certain groundwater condition, can be viewed as the outcome of a full-scale test performed directly on the slope and may provide valuable information for safety assessment, upgrading analysis, and repair design of the slope. Performance information can be divided into two types: (1) the slope survived a certain state, and (2) the slope failed at a certain state. This paper illustrates two methods for slope reliability analysis considering site-specific performance information, i.e., an indirect method based on back-analysis of the performance information, and a direct method, in which the back-analysis procedure is bypassed. The two methods are theoretically the same but different in implementation details. As examples, an existing slope for safety assessment and a failed slope to be repaired are studied in this paper. Considering the past survival information increases the reliability of the slope. The increase in reliability is larger if the slope survives a more critical state. Thus, ignoring the survival information may result in uneconomical decisions. In contrast, ignoring the failure information may either underestimate or overestimate the reliability of a slope. As a result, neglecting the past failure information may lead to unsafe or uneconomical decisions.

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

[2]  Nicholas Sitar,et al.  Use of stochastic stability analysis for Bayesian back calculation of pore pressures acting in a cut slope at failure , 1987 .

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

[4]  Bak Kong Low,et al.  Probabilistic Stability Analyses of Embankments Based on Finite-Element Method , 2006 .

[5]  Richard J. Jardine,et al.  Reliability updating and geotechnical back-analysis , 2004 .

[6]  Tien H. Wu,et al.  Prediction and mapping of landslide hazard , 2000 .

[7]  Robert B. Gilbert,et al.  Uncertainty in back analysis of slopes: Kettleman Hills case history , 1998 .

[8]  N. Morgenstern,et al.  The analysis of the stability of general slip surfaces , 1965 .

[9]  J. M. Duncan THE USE OF BACK ANALYSIS TO REDUCE SLOPE FAILURE RISK , 1999 .

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

[11]  Sadaichi Terada,et al.  Failure‐Conditioned Reliability Index , 1988 .

[12]  Norbert R. Morgenstern,et al.  PROBABILISTIC ASSESSMENT OF STABILITY OF A CUT SLOPE IN RESIDUAL SOIL , 2005 .

[13]  Robert E. Melchers,et al.  Structural Reliability: Analysis and Prediction , 1987 .

[14]  Niels C. Lind,et al.  Methods of structural safety , 2006 .

[15]  Daniel Pradel,et al.  Effect of Permeability on Surficial Stability of Homogeneous Slopes , 1993 .

[16]  Yan-Gang Zhao,et al.  Closure of "Estimating Joint Failure Probability of Series Structural Systems" , 2007 .

[17]  Han Ping Hong,et al.  Reliability Evaluation of Earth Slopes , 2008 .

[18]  Li Min Zhang,et al.  RAINFALL-INDUCED SLOPE FAILURE CONSIDERING VARIABILITY OF SOIL PROPERTIES , 2005 .

[19]  W. Tang,et al.  Efficient Spreadsheet Algorithm for First-Order Reliability Method , 2007 .

[20]  Giovanni B. Crosta,et al.  Regionalization of rainfall thresholds: an aid to landslide hazard evaluation , 1998 .

[21]  Jie Zhang,et al.  Bayesian Framework for Characterizing Geotechnical Model Uncertainty , 2009 .

[22]  G. L. Sivakumar Babu,et al.  Reliability Analysis of Unsaturated Soil Slopes , 2005 .

[23]  Li Min Zhang,et al.  Efficient Probabilistic Back-Analysis of Slope Stability Model Parameters , 2010 .

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

[25]  Feng Yuan-sheng A method for computing structural system reliability with high accuracy , 1989 .

[26]  Gordon A. Fenton,et al.  Influence of spatial variability on slope reliability using 2-D random fields. , 2009 .

[27]  Jan-Tai Kuo,et al.  Projection Method for Validating Reliability Analysis of Soil Slopes , 2007 .

[28]  Jie Zhang,et al.  Characterizing geotechnical model uncertainty , 2009 .

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

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