An efficient search method for finding the critical circular slip surface using the Monte Carlo technique

2001 ◽  
Vol 38 (5) ◽  
pp. 1081-1089 ◽  
Author(s):  
AI Husein Malkawi ◽  
W F Hassan ◽  
S K Sarma
Keyword(s):  
Monte Carlo ◽  
Stability Analysis ◽  
Slope Stability ◽  
Factor Of Safety ◽  
Global Minimum ◽  
Reliable Method ◽  
Slip Surface ◽  
Search Method ◽  
Monte Carlo Technique ◽  
Critical Slip Surface

Locating the critical slip surface and the associated minimum factor of safety are two complementary parts in a slope stability analysis. A large number of computer programs exist to solve slope stability problems. Most of these programs, however, have used inefficient and unreliable search procedures to locate the global minimum factor of safety. This paper presents an efficient and reliable method to determine the global minimum factor of safety coupled with a modified version of the Monte Carlo technique. Examples are presented to illustrate the reliability of the proposed method.Key words: factor of safety, method of search, critical slip surface, circular, global, Monte Carlo.

Genetic algorithm search for critical slip surface in multiple-wedge stability analysis

1999 ◽  
Vol 36 (2) ◽  
pp. 382-391 ◽  
Author(s):  
Anthony TC Goh
Keyword(s):  
Genetic Algorithm ◽  
Stability Analysis ◽  
Slope Stability ◽  
Factor Of Safety ◽  
Search Strategy ◽  
Slip Surface ◽  
Pattern Search ◽  
Optimization Techniques ◽  
Thin Layers ◽  
Critical Slip Surface

Most procedures for determining the critical slip surface in slope-stability analysis rely on traditional nonlinear optimization techniques. The main shortcoming of these techniques is the uncertainty as to robustness of the algorithms to locate the global minimum factor of safety rather than the local minimum factor of safety for complicated and nonhomogeneous geological subsoil conditions. This paper describes the incorporation of a genetic algorithm methodology for determining the critical slip surface in multiple-wedge stability analysis. This search strategy is becoming increasingly popular in engineering optimization problems because it has been shown in a wide variety of problems to be suitably robust for the search not to become trapped in local optima. Three examples are presented to demonstrate the effectiveness of the genetic algorithm approach. The search strategy was found to be sufficiently robust to handle layered soils with weak, thin layers, and as efficient and accurate as the conventional pattern search method.Key words: critical slip surface, factor of safety, genetic algorithms, optimization, slope stability, wedge analysis.

Complex Slope Stability Analysis of Slip Surface Stress Method Based on Nader Hypoplastic Model

2011 ◽  
Vol 243-249 ◽  
pp. 2071-2075
Author(s):  
Bao Lin Xiong ◽  
Jin Song Tang ◽  
Chun Jiao Lu
Keyword(s):  
Slope Stability ◽  
Surface Stress ◽  
Factor Of Safety ◽  
Slip Surface ◽  
Strain Analysis ◽  
Search Method ◽  
Pattern Search ◽  
Critical Slip Surface ◽  
Hypoplastic Model ◽  
Pattern Search Method

Hypoplaticity and Nader hypoplastic model are introduced. Based on finite element stress-strain analysis of Nader hypoplastic model, slip surface stress method in the slope stability is provided. The factor of safety of the slip surface is defined as the ratio of the critical shear intensity during failure to real shear stress and the critical slip surface of slope is ascertained with pattern search method. The clay slope with a weak foundation layer and clay slope with a foundation layer including a thin weak layer under the plane strain condition are analyzed. The results are shown that the shapes of critical slip surface and the magnitude of factor of safety are obtained by this method.

A Comparative Study on Locating Critical Slip Surface in 2D and 3D Limit Equilibrium Stability Analysis of Slopes

2012 ◽  
Vol 446-449 ◽  
pp. 1905-1913
Author(s):  
Mo Wen Xie ◽  
Zeng Fu Wang ◽  
Xiang Yu Liu ◽  
Ning Jia
Keyword(s):  
Stability Analysis ◽  
Slope Stability ◽  
Safety Factor ◽  
Slip Surface ◽  
Limit Equilibrium ◽  
Three Dimensional ◽  
Slope Stability Analysis ◽  
Equilibrium Stability ◽  
Critical Slip Surface ◽  
Minimum Safety Factor

The Various methods of optimization or random search have been developed for locating the critical slip surface of a slope and the related minimum safety factor in the limit equilibrium stability analysis of slope. But all these methods are based on a two-dimensional (2D) method and no one had been adapted for a search of the three-dimensional (3D) critical slip surface. In this paper, a new Monte Carlo random simulating method has been proposed to identify the 3D critical slip surface, in which assuming the initial slip to be the lower part of an ellipsoid, the 3D critical slip surface in the 3D slope stability analysis is located by minimizing the 3D safety factor of limit equilibrium approach. Based on the column-based three-dimensional limit equilibrium slope stability analysis models, new Geographic Information Systems (GIS) grid-based 3D deterministic limit equilibrium models are developed to calculate the 3D safety factors. Several practical examples, of obtained minimum safety factor and its critical slip surface by a 2D optimization or random technique, are extended to 3D slope problems to locate the 3D critical slip surface and to compare with the 2D results. The results shows that, comparing with the 2D results, the resulting 3D critical slip surface has no apparent difference only from a cross section, but the associated 3D safety factor is definitely higher.

A method for locating critical slip surfaces in slope stability analysis

2001 ◽  
Vol 38 (2) ◽  
pp. 328-337 ◽  
Author(s):  
Da-Yong Zhu
Keyword(s):  
Stability Analysis ◽  
Slope Stability ◽  
Factor Of Safety ◽  
High Efficiency ◽  
Slip Surface ◽  
Numerical Procedure ◽  
Slope Stability Analysis ◽  
Case Examples ◽  
Slip Surfaces ◽  
Global And Local

This paper presents a new method for locating critical slip surfaces of general shapes in slope stability analysis. On the basis of the principle of optimality, along with the method of slices, a critical slip field (CSF) in a slope is postulated which consists of a family of slip surfaces having maximum values of unbalanced thrust forces at exit points on the slope face. A numerical procedure is developed for constructing the CSF. The critical slip surface having minimum factor of safety is included in the CSF. All the critical slip surfaces corresponding to all of the exit points are thus determined consecutively, resulting in a global critical slip field (GCSF) which exhibits both global and local slope stability. Comparisons with other methods are made which indicate the high efficiency and accuracy of the proposed approach. Applications of the proposed method to two case examples are given, the results of which demonstrate its applicability to practical engineering.Key words: slope, stability, analysis, factor of safety, critical slip field.

Development of Slope Stability Evaluation Process of Frozen Soil in Coupling Temperature Field

2012 ◽  
Vol 446-449 ◽  
pp. 1948-1956
Author(s):  
Zhi Yun Liu ◽  
Jian Bing Chen ◽  
Long Jin ◽  
Jian Xu
Keyword(s):  
Temperature Field ◽  
Stability Analysis ◽  
Slope Stability ◽  
Soil Temperature ◽  
Slip Surface ◽  
Slope Stability Analysis ◽  
Frozen Soil ◽  
Critical Slip Surface ◽  
Cold Region ◽  
Stability Coefficient

The slope stability analysis in cold region is special for its non-uniform temperature field. Considering the special characteristic of the slope in cold region, the physical parameters of frozen soil are treated in this paper as the connection between temperature field and stress field. The temperature influences mechanical properties of frozen soil and forms freezing-thawing interface in the slope, which make great influence on the stability of slope. The critical slip surface searching algorithm for cold region is developed and the moment center solution method in the computation of slope’s stability coefficient is also improved. The critical slip surface and stability of 4m subgrade with 1: 1.5 slopes under different soil temperature condition is computed using the developed frozen subgrade stability computation program. The results shows that the line segment type slip surface is more accuracy than circle type slip surface in cold region slope stability analysis; moreover, the minimum stability coefficient of frozen subgrade does not happen in tenth months when the thawing soil goes to deepest, but show in the early time of warm season, forming the phenomenon of thaw slumping. And it is also found that the occurring time of yearly minimum landslide stability coefficient postpones as the decreasing of soil temperature.

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