An efficient approach for locating the critical slip surface in slope stability analyses using a real-coded genetic algorithm

A real-coded genetic algorithm is employed to develop a search approach for locating the noncircular critical slip surface in slope stability analyses. Limit equilibrium methods and the finite-element-based method are incorporated with the proposed search approach to calculate the factor of safety. Geometrical and kinematical compatibility constraints are established based on the features of slope problems to prevent slip surfaces from being unreasonable. A dynamic bound technique is presented to improve the search performance with more effective exploration within the solution domain. A number of examples are investigated that demonstrate the proposed search approach to be efficient in yielding accurate solutions to practical slope stability problems. The proposed search approach is stable and highly correlated with the results of independent analyses. Furthermore, this paper demonstrates the successful application of a real-coded genetic algorithm to noncircular critical slip surface search problems.

[1]  Da-Yong Zhu,et al.  A method for locating critical slip surfaces in slope stability analysis , 2001 .

[2]  N. Janbu Application of composite slip surfaces for stability analysis , 1954 .

[3]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[4]  S. Sarma STABILITY ANALYSIS OF EMBANKMENTS AND SLOPES , 1973 .

[5]  Anna Kucerová,et al.  Improvements of real coded genetic algorithms based on differential operators preventing premature convergence , 2004, ArXiv.

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

[7]  C. W. Lovell,et al.  Searching techniques in slope stability analysis , 1980 .

[8]  Paul McCombie,et al.  The use of the simple genetic algorithm in finding the critical factor of safety in slope stability analysis , 2002 .

[9]  Kalyanmoy Deb,et al.  A Comparative Analysis of Selection Schemes Used in Genetic Algorithms , 1990, FOGA.

[10]  Zu-yu Chen,et al.  Evaluation of minimum factor of safety in slope stability analysis , 1988 .

[11]  C. F. Lee,et al.  A concise algorithm for computing the factor of safety using the Morgenstern-Price method , 2005 .

[12]  Y. M. Cheng,et al.  Location of critical failure surface and some further studies on slope stability analysis , 2003 .

[13]  A. E. Eiben,et al.  Introduction to Evolutionary Computing , 2003, Natural Computing Series.

[14]  S. K. Sarma,et al.  Determination of critical slip surface in slope analysis , 2006 .

[15]  Abdallah I. Husein Malkawi,et al.  Global Search Method for Locating General Slip Surface Using Monte Carlo Techniques , 2001 .

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

[17]  W. D. Kovacs,et al.  Random Surface Generation in Stability Analysis , 1981 .

[18]  K. S. Li,et al.  Rapid evaluation of the critical slip surface in slope stability problems , 1987 .

[19]  Jean-Pierre Bardet,et al.  A simplex analysis of slope stability , 1989 .

[20]  Takuo Yamagami,et al.  SEARCH FOR NONCIRCULAR SLIP SURFACES BY THE MORGENSTERN-PRICE METHOD. PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON NUMERICAL METHODS IN GEOMECHANICS, 11-15 APRIL 1988, INNSBRUCK, AUSTRIA. VOLUMES 1 - 3 , 1988 .

[21]  K. Arai,et al.  DETERMINATION OF NONCIRCULAR SLIP SURFACE GIVING THE MINIMUM FACTOR OF SAFETY IN SLOPE STABILITY ANALYSIS , 1985 .

[22]  D. J. Naylor,et al.  Safety analysis using finite elements , 1998 .

[23]  R. Baker,et al.  Determination of the critical slip surface in slope stability computations , 1980 .

[24]  D. Fredlund,et al.  The application of dynamic programming to slope stability analysis , 2003 .

[25]  A. Goh Genetic algorithm search for critical slip surface in multiple-wedge stability analysis , 1999 .

[26]  O. C. Zienkiewicz,et al.  The superconvergent patch recovery (SPR) and adaptive finite element refinement , 1992 .

[27]  David J. Williams,et al.  Search for critical slip surfaces based on finite element method , 1995 .

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

[29]  Casuba G. Prabhakar Narayan,et al.  Nonlocal Variational Method in Stability Analysis , 1982 .

[30]  Andrew C. Heath,et al.  Simple genetic algorithm search for critical non-circular failure surface in slope stability analysis , 2005 .

[31]  Waleed F. Hassan,et al.  An efficient search method for finding the critical circular slip surface using the Monte Carlo technique , 2001 .

[32]  Zu-yu Chen,et al.  Random trials used in determining global minimum factors of safety of slopes , 1992 .

[33]  Kenneth Alan De Jong,et al.  An analysis of the behavior of a class of genetic adaptive systems. , 1975 .

[34]  Liang Li,et al.  Particle swarm optimization algorithm for the location of the critical non-circular failure surface in two-dimensional slope stability analysis , 2007 .