Search Algorithm for Minimum Reliability Index of Earth Slopes

Hassan, Ahmed; Wolff, Thomas F.

doi:10.1061/(asce)1090-0241(1999)125:4(301)

Cited by 171 publications

(90 citation statements)

References 15 publications

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“…It shows FS was not a sufficient indicator of safety margin. Similar observations were also reported by other authors (e.g., Hassan and Wolff 1999). El-Ramly (2002) hence noted that an essential part of the probabilistic analysis is to consider all the possibly hazardous slip surfaces which include the deterministic critical slip surface, the minimum reliability index slip surface (or the maximum PF slip surface) and surface through weak layers.…”

Section: Critical Situations In Slope Stability Analysessupporting

confidence: 86%

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Soil slope stability investigation and analysis in Iowa

Yang

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Section: Critical Situations In Slope Stability Analysessupporting

confidence: 86%

“…Some representative publications include Li and Lump (1987), Christian et al (1994) and Hassan and Wolff (1999), among others. However, it appears that most of the probabilistic slope analyses in the literature utilize a single source of shear strength parameters, i.e.…”

Section: Introductionmentioning

confidence: 99%

Soil slope stability investigation and analysis in Iowa

Yang

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“…The FOSM and SOFM methods usually require the partial derivatives of the safety factor to be determinate, which may be not available for some slip surfaces. The widely used mean-value first-order second-moment method (MFOSM; Hassan and Wolff, 1999;Xue and Gavin, 2007) uses a finite-difference technique to form the gradient of the function. However, as discussed by Cheng et al (2008c), because failure to converge during safety factor determination is common for slope stability analysis and is equivalent to the presence of discontinuities in the safety factor function, both finite-difference techniques and explicit partial derivatives in the first-order second-moment method encountered problems during use.…”

Section: Y M Cheng Et Al: Simplified Approach For Locating the Crimentioning

confidence: 99%

Simplified approach for locating the critical probabilistic slip surface in limit equilibrium analysis

Ming

Liu

2015

Nat. Hazards Earth Syst. Sci.

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Abstract. This paper aims to develop a rapid and practical procedure that can locate the slip surface for a slope with the minimum reliability index for limit equilibrium analysis at the minimum expense of time. The comparative study on the reliability indices from different sample numbers using the Monte Carlo simulation method has demonstrated that the results from a large enough sample number are related to those from a small sample number with high correlation indices. This observation has been tested for many homogeneous and heterogeneous slopes under various conditions in parametric studies. Based on this observation, the reliability index for a potential slip surface can be calculated with a small sample number, and the search for the minimum reliability index and the slip surface can be determined by a heuristic optimization algorithm. Based on the comparisons between the critical deterministic and probabilistic slip surfaces for many different cases, the use of the proposed fast method in locating the critical probabilistic slip surface is found to perform well, which is suitable for normal routine analysis and design works.

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“…An additional consideration is that the design of effective remediation strategies becomes increasingly challenging when real slope behaviour is not accurately modelled. As a result, over recent decades significant research has been carried out investigating the application of reliability methods to slope stability problems (Christian et al, 1994;Low & Tang, 1997;Low et al, 1998;Hassan & Wolff, 1999;Babu & Murthy, 2005;Gavin & Xue, 2009) where variables are described by distributions instead of fixed values. These approaches have the inherent benefit of allowing designers to quantify the level of uncertainty present and significantly reduce risk.…”

Section: Introductionmentioning

confidence: 99%

“…However, as the slip surface in question is still the deterministic critical slip surface, this approach is unlikely to find the true minimum reliability index. Over recent years researchers (Hassan & Wolff, 1999;Bhattacharya et al, 2003;Xue & Gavin, 2007, among others) have incorporated sophisticated techniques to search simultaneously for the critical probabilistic surface and critical design points of input parameters, allowing for a more accurate minimum reliability index. These approaches represent a significant advance on earlier approaches, but they still only provide the user with the most critical slip surface (lowest reliability index) for a given slope condition or state.…”

Section: Introductionmentioning

confidence: 99%

System reliability of slopes using multimodal optimisation

2016

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Many engineered and natural slopes have complex geometries and are multi-layered. For these slopes traditional stability analyses will tend to predict critical failure surfaces in layers with the lowest mean strength. A move toward probabilistic analyses allows a designer to account for uncertainties with respect to input parameters that allow for a more complete understanding of risk. Railway slopes, which in some cases were built more than 150 years ago, form important assets on the European rail network. Many of these structures were built at slope angles significantly higher than those allowed in modern design codes. Depending on the local geotechnical conditions these slopes may be susceptible to deepseated failure; however, a significant number of failures each year occur as shallow translational slips that develop during periods of high rainfall. Thus, for a given slope, two potential failure mechanisms might exist with very similar probabilities of failure. In this paper a novel multimodal optimisation algorithm ('Slips') that is capable of detecting all feasible probabilistic slip surfaces simultaneously is presented. The system reliability analysis is applied using polar co-ordinates, as this approach has been shown to be less sensitive to local numerical instabilities, which can develop due to discontinuities on the limit state surface. The approach is applied to two example slopes where the complexity in terms of stratification and slope geometry is varied. In addition the methodology is validated using a real-life case study involving failure of a complex slope.

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Search Algorithm for Minimum Reliability Index of Earth Slopes

Cited by 171 publications

References 15 publications

Soil slope stability investigation and analysis in Iowa

Soil slope stability investigation and analysis in Iowa

Simplified approach for locating the critical probabilistic slip surface in limit equilibrium analysis

System reliability of slopes using multimodal optimisation

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