System reliability analysis of soil slopes stabilized with piles

Piles are widely used to increase the stability of piles. Probabilistic methods can be used to explicitly consider the uncertainties involved in a slope stability analysis. Currently, most probabilistic slope stability analyses focus on the reliability of slopes without reinforcement. In this paper, an existing method for system reliability analysis of unreinforced slopes is extended to slopes reinforced with piles. The described procedure may potentially be used to convert other methods for reliability analysis of slopes without reinforcement to slopes reinforced with piles. Two examples are used to illustrate the suggested method. It is found that the location of the most critical slip surface of the reinforced slope generally differs from that of the unreinforced slope, and may change with the pile location and the pile spacing. The optimal locations of the piles with and without considering the uncertainties in the soil property are different. For slopes in layered soils, the system failure probability may be governed by several representative slip surfaces even when piles are installed. The system effect is more obvious when the pile spacing increases. To maximize the effectiveness of slope stabilization, the stabilizing piles should intersect with all representative slip surfaces with significant failure probabilities.

[1]  Bak Kong Low,et al.  Practical second‐order reliability analysis applied to foundation engineering , 2012 .

[2]  Jian Ji,et al.  Stratified Response Surfaces for System Probabilistic Evaluation of Slopes , 2012 .

[3]  J. M. Duncan,et al.  Factors of Safety and Reliability in Geotechnical Engineering , 2000 .

[4]  Robert Y. Liang,et al.  Performance-Based Reliability Analysis of Laterally Loaded Drilled Shafts , 2013 .

[5]  Sondipon Adhikari,et al.  System reliability analysis of soil slopes with general slip surfaces using multivariate adaptive regression splines , 2017 .

[6]  Harry G. Poulos,et al.  Design of reinforcing piles to increase slope stability , 1995 .

[7]  Jun Ma,et al.  Identification of representative slip surfaces for reliability analysis of soil slopes based on shear strength reduction , 2017 .

[8]  Wilson H. Tang,et al.  New methods for system reliability analysis of soil slopes , 2011 .

[9]  Wilson H. Tang,et al.  Efficient system reliability analysis illustrated for a retaining wall and a soil slope , 2011 .

[10]  Ka-Veng Yuen,et al.  Reliability analysis of soil-water characteristics curve and its application to slope stability analysis , 2012 .

[11]  Takuo Yamagami,et al.  A limit equilibrium stability analysis of slopes with stabilizing piles , 2000 .

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

[13]  K. Phoon,et al.  Characterisation of model uncertainties for laterally loaded rigid drilled shafts , 2005 .

[14]  Kok-Kwang Phoon,et al.  Effects of soil spatial variability on rainfall-induced landslides , 2011 .

[15]  Eun-Chul Shin,et al.  Automated stability analysis of slopes stabilized with piles , 2006 .

[16]  Wilson H. Tang,et al.  Probability Concepts in Engineering: Emphasis on Applications to Civil and Environmental Engineering , 2006 .

[17]  Gordon A. Fenton,et al.  SYSTEM RELIABILITY OF SLOPES BY RFEM , 2010 .

[18]  Gwang-Ha Roh,et al.  Calibration of Information-Sensitive Partial Factors for Assessing Earth Slopes , 2009 .

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

[20]  Tamotsu Matsui,et al.  Design Method for Stabilizing Piles Against Landslide—One Row of Piles , 1981 .

[21]  Kenneth Gavin,et al.  System reliability of slopes using multimodal optimisation , 2016 .

[22]  Robert Y. Liang,et al.  STABILITY ANALYSIS OF DRILLED SHAFTS REINFORCED SLOPE , 2002 .

[24]  Hamed Ardalan,et al.  Analysis of pile stabilized slopes based on soil–pile interaction , 2012 .

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

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

[27]  Manjriker Gunaratne,et al.  DESIGN METHOD FOR STABILIZATION OF SLOPES WITH PILES , 1997 .

[28]  F. Cai,et al.  NUMERICAL ANALYSIS OF THE STABILITY OF A SLOPE REINFORCED WITH PILES , 2000 .

[29]  Yu Wang,et al.  Uncertain parameter sensitivity in Monte Carlo Simulation by sample reassembling , 2012 .

[30]  Tamotsu Matsui,et al.  METHODS TO ESTIMATE LATERAL FORCE ACTING ON STABILIZING PILES , 1975 .

[31]  Craig H. Benson,et al.  RELIABILITY-BASED DESIGN FOR INTERNAL STABILITY OF MECHANICALLY STABILIZED EARTH WALLS , 2004 .

[32]  Craig H. Benson,et al.  Reliability-Based Design for External Stability of Mechanically Stabilized Earth Walls , 2005 .

[33]  Peng Zeng,et al.  System reliability analysis of layered soil slopes using fully specified slip surfaces and genetic algorithms , 2015 .

[34]  Dian-Qing Li,et al.  Response surface methods for slope reliability analysis: Review and comparison , 2016 .

[35]  Rodrigo Salgado,et al.  Reliability Analysis of Load and Resistance Factor Design of Slopes , 2014 .

[36]  Wenping Gong,et al.  Probabilistic seismic stability analysis of slope at a given site in a specified exposure time , 2016 .

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

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

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

[40]  George Gazetas,et al.  Hybrid Method for Analysis and Design of Slope Stabilizing Piles , 2012 .

[41]  Junjie Li,et al.  System probabilistic stability analysis of soil slopes using Gaussian process regression with Latin hypercube sampling , 2015 .

[42]  Robert Y. Liang,et al.  Reliability‐based design for slopes reinforced with a row of drilled shafts , 2014 .

[43]  Yu Wang,et al.  Probabilistic slope stability analysis by risk aggregation , 2014 .

[44]  C. H. Juang,et al.  Stability analysis of existing slopes considering uncertainty , 1998 .

[45]  Siming He,et al.  Seismic Displacement of Slopes Reinforced with Piles , 2010 .

[46]  Dian-Qing Li,et al.  Extension of Hassan and Wolff method for system reliability analysis of soil slopes , 2013 .

[47]  Sung Eun Cho,et al.  First-order reliability analysis of slope considering multiple failure modes , 2013 .

[48]  Yu WangY. Wang,et al.  Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet , 2011 .

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