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

Malkawi, AI Husein; Hassan, Waleed F.; Sarma, S. K.

doi:10.1139/t01-026

Cited by 36 publications

(11 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Then, the M-P method was modified to investigate the safety of the unsaturated multilayered coastal-embankment slope by combined the rigorous limit equilibrium theory with failure criterion of unsaturated soil. Furthermore, the RSA developed by Malkawi's method [40] was adopted to locate the critical slip surface of the unsaturated multilayered coastal-embankment slope. Finally, the failure process under the rainfall infiltration was reproduced by searching for the critical slip surface and the associated safety factor, on which the effect of distribution of the matric suction was also investigated.…”

Section: A Simple Approach To Simulate Rainfall Infiltrationmentioning

confidence: 99%

“…The main shortcoming of RSA is the generation of the large number of trial solutions which reduces the calculation efficiency in the past and has become of secondary importance due to the rapid development of computational technology. Currently, it has been widely used in determining the most dangerous sliding surface by search adequate times [39,40].…”

Section: Introductionmentioning

confidence: 99%

“…the rapid development of computational technology. Currently, it has been widely used in determining the most dangerous sliding surface by search adequate times [39,40]. It should be noted that the stability of coastal-embankment slope with the unsaturated and multilayered feature during rainfall were greatly different from those of dry or saturated soils and should be investigated by a simple and effective approach in consideration of effect of matric suction distributions and underground water levels.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

An Approach to Assess the Stability of Unsaturated Multilayered Coastal-Embankment Slope during Rainfall Infiltration

Zhu

Chen

Zhao

2019

JMSE

View full text Add to dashboard Cite

This study aims to develop a simple but effective approach to investigate the stability of an unsaturated and multilayered coastal-embankment slope during the rainfall, in which a Random Search Algorithm (RSA) based on the random sampling idea of the Monte Carlo method was employed to obtain the most dangerous circular sliding surface, whereas the safety factor of the unsaturated slope was calculated by the modified Morgenstern–Price method. Firstly, two typical distributions of matric suction were illustrated and the associated methods for determining the strength parameters of unsaturated soil were developed. Based on this, the Morgenstern–Price method was further modified to calculate the safety factor, and RSA was adopted to locate the most dangerous sliding surface of the unsaturated multilayered coastal-embankment slope. Finally, the slope breaking process under rainfall infiltration was simulated through continuously searching the critical slip surfaces under different groundwater levels by RSA. The results indicated that the stability of the unsaturated embankment slope was gradually deteriorated with the increase of rainfall infiltration. It was also found that both of the distributions of the matrix suction (ua-uw) and the suction angle (φb) had significant effects on the safety factor of the embankment slope. Basically, linear distribution of (ua-uw) along the depth and linear relationship between φb and (ua-uw) should be adopted in assessing the stability of the unsaturated multilayered coastal-embankment slope.

show abstract

Section: A Simple Approach To Simulate Rainfall Infiltrationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

An Approach to Assess the Stability of Unsaturated Multilayered Coastal-Embankment Slope during Rainfall Infiltration

Zhu

Chen

Zhao

2019

JMSE

View full text Add to dashboard Cite

show abstract

“…In addition, the simplex method is also considered to be very robust and efficient for locating the critical circular slip surface (Nguyuen 1985;DeNatale 1992). More recently, Malkawi et al (2001a) proposed an approach to search for the critical circular slip surface using Monte Carlo technique. Goh (2000) and McCombie and Wilkinson (2002) adopted genetic algorithm to search for the critical slip circle.…”

Section: Discussionmentioning

confidence: 99%

“…Moreover, the dependency of the simplex method on the selection of the initial slip circle for this case indicates that this method may not be as robust and reliable as generally perceived. Greco (2003), in his discussion to Malkawi et al (2001a)'s paper where a searching procedure based on Monte Carlo technique was proposed to locate the critical circular slip surface, conveyed his concern about the unjustified use of the optimization method for critical slip surface with a circular shape. According to him, there is no need to adopt a particular optimization procedure in searching for critical circular slip surface and the grid search method can handle this problem quite well.…”

Section: Genetic Algorithm Methodsmentioning

confidence: 99%

Behaviour of reinforced embankment on soft ground and reliablity analysis

Xu¹

View full text Add to dashboard Cite

Stability analysis of slopes or embankments is greatly affected by uncertainty of soil properties. The current design practice is based on the factor of safety which cannot directly reflect the input uncertainty. Probabilistic stability analysis is a rational way to incorporate uncertainty in the design procedure. Unfortunately, most geotechnical engineers are reluctant to adopt probabilistic techniques. The objective of this study is TABLE OF CONTENTS IV LIST OF TABLES XI LIST OF FIGURES XIII CHAPTER 1 INTRODUCTION 1.1 Overview 1.2 Objective and scope of the research 1.3 Outline of the thesis CHAPTER 2 LITERATURE REVIEW 2.1 Overview 2.2 Limit equilibrium analysis for reinforced embankment on soft ground 2.2.1 Conventional limit equilibrium methods of slices 2.2.1.1 Fellenius's method 2.2.1.2 Bishop's method 2.2.1.3 Janbu's method 12 2.2.1.4 Spencer's method 13 2.2.1.5 Morgenstern and price's method 15 2.2.1.6 General comments on the conventional limit equilibrium methods of slices 18 2.2.2 The semi-analytical method for stability analysis of reinforced embankment on soft ground 19 2.2.3 Tension crack 23 2.2.4 Considering the effect of reinforcement by conventional limit 25 ATTENTION: The Singapore Copyright Act applies to the use of this document. Nanyang Technological University Library-V-equilibrium methods of slices 2.3 Finite element analysis for reinforced embankment on soft ground 2.3.1 Undrained analysis 2.3.2 Coupled analysis 2.3.3 Summary of finite element analysis 2.3.4 Stability analysis for reinforced embankment on soft ground by finite element method 2.3.4.1 Strength reduction technique 2.3.4.2 Enhanced limit method 2.3.5 General comments on the stability analysis methods 2.4 Basic concepts of probabilistic stability analysis for slopes or embankments 2.4.1 Introduction 2.4.2 Spatial variability of soil properties 2.4.2.1 Quantifying spatial variability by autocovariance 2.4.2.2 Quantifying spatial variability by semivariogram 2.4.3 Monte Carlo simulation 2.4.4 Point estimate method 2.4.5 Mean-value first-order second moment method (MVFOSM) 2.4.6 The Hasofer-Lind approach 2.4.7 First-order reliability method (FORM) 2.5 Summary CHAPTER 3 BEHAVIOUR STUDIES OF UNREINFORCED AND REINFORCED EMBANKMENTS ON SOFT GROUND BY FINITE ELEMENT METHOD AND STABILITY ANALYSIS 3.1 Introduction 3.2 Unreinforced embankment on soft ground 3.2.1 Ground surface settlement of the unreinforced embankment 3.2.2 Lateral displacement ATTENTION: The Singapore Copyright Act applies to the use of this document. Nanyang Technological University Library-VI-3.2.3 Excess pore water pressure 3.2.4 Failure mechanism of the unreinforced embankment 3.3 Reinforced embankment on the soft ground 3.3.1 Effect of reinforcement on the ground surface settlement 3.3.2 Effect of reinforcement on the lateral displacement 3.3.3 Effect of reinforcement on excess pore water pressures within the embankment foundation 3.3.4 Distribution pattern of the reinforcement force 3.3.5 Effect of the reinforcement on the stability of the embankment 3.4 Stability ...

show abstract

Setback Distance Between Natural Slope and Building Along the RN8 in Algeria

Kechebour

Nechnech

2013

Landslide Science and Practice

View full text Add to dashboard Cite

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

Cited by 36 publications

References 17 publications

An Approach to Assess the Stability of Unsaturated Multilayered Coastal-Embankment Slope during Rainfall Infiltration

An Approach to Assess the Stability of Unsaturated Multilayered Coastal-Embankment Slope during Rainfall Infiltration

Behaviour of reinforced embankment on soft ground and reliablity analysis

Setback Distance Between Natural Slope and Building Along the RN8 in Algeria

Contact Info

Product

Resources

About