Efficient slope reliability analysis under soil spatial variability using maximum entropy distribution with fractional moments
Spatial variability of soil properties imposes a challenge for practical analysis and design in geotechnical engineering. The latter is particularly true for slope stability assessment, where the effects of uncertainty are synthesized in the so-called probability of failure. This probability quantif...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-04-01
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| Series: | Journal of Rock Mechanics and Geotechnical Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S167477552300269X |
| _version_ | 1797203005263577088 |
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| author | Chengxin Feng Marcos A. Valdebenito Marcin Chwała Kang Liao Matteo Broggi Michael Beer |
| author_facet | Chengxin Feng Marcos A. Valdebenito Marcin Chwała Kang Liao Matteo Broggi Michael Beer |
| author_sort | Chengxin Feng |
| collection | DOAJ |
| description | Spatial variability of soil properties imposes a challenge for practical analysis and design in geotechnical engineering. The latter is particularly true for slope stability assessment, where the effects of uncertainty are synthesized in the so-called probability of failure. This probability quantifies the reliability of a slope and its numerical calculation is usually quite involved from a numerical viewpoint. In view of this issue, this paper proposes an approach for failure probability assessment based on Latinized partially stratified sampling and maximum entropy distribution with fractional moments. The spatial variability of geotechnical properties is represented by means of random fields and the Karhunen-Loève expansion. Then, failure probabilities are estimated employing maximum entropy distribution with fractional moments. The application of the proposed approach is examined with two examples: a case study of an undrained slope and a case study of a slope with cross-correlated random fields of strength parameters under a drained slope. The results show that the proposed approach has excellent accuracy and high efficiency, and it can be applied straightforwardly to similar geotechnical engineering problems. |
| first_indexed | 2024-04-24T08:12:27Z |
| format | Article |
| id | doaj.art-0d85eeb5e1a3474eb88734e6459b338b |
| institution | Directory Open Access Journal |
| issn | 1674-7755 |
| language | English |
| last_indexed | 2024-04-24T08:12:27Z |
| publishDate | 2024-04-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Rock Mechanics and Geotechnical Engineering |
| spelling | doaj.art-0d85eeb5e1a3474eb88734e6459b338b2024-04-17T04:48:59ZengElsevierJournal of Rock Mechanics and Geotechnical Engineering1674-77552024-04-0116411401152Efficient slope reliability analysis under soil spatial variability using maximum entropy distribution with fractional momentsChengxin Feng0Marcos A. Valdebenito1Marcin Chwała2Kang Liao3Matteo Broggi4Michael Beer5Institute for Risk and Reliability, Leibniz University Hannover, Callinstr. 34, Hannover, 30167, Germany; Corresponding author.Chair for Reliability Engineering, TU Dortmund University, Leonhard-Euler-Str. 5, Dortmund, 44227, GermanyFaculty of Civil Engineering, Wrocƚaw University of Science and Technology, Wrocƚaw, PolandFaculty of Geosciences and Environmental Engineering, Southwest Jiaotong University, Chengdu, 610031, ChinaInstitute for Risk and Reliability, Leibniz University Hannover, Callinstr. 34, Hannover, 30167, GermanyInstitute for Risk and Reliability, Leibniz University Hannover, Callinstr. 34, Hannover, 30167, Germany; University of Liverpool, Institute for Risk and Uncertainty, Peach Street, Liverpool, L69 7ZF, United Kingdom; International Joint Research Center for Resilient Infrastructure & International Joint Research Center for Engineering Reliability and Stochastic Mechanics, Tongji University, Shanghai, ChinaSpatial variability of soil properties imposes a challenge for practical analysis and design in geotechnical engineering. The latter is particularly true for slope stability assessment, where the effects of uncertainty are synthesized in the so-called probability of failure. This probability quantifies the reliability of a slope and its numerical calculation is usually quite involved from a numerical viewpoint. In view of this issue, this paper proposes an approach for failure probability assessment based on Latinized partially stratified sampling and maximum entropy distribution with fractional moments. The spatial variability of geotechnical properties is represented by means of random fields and the Karhunen-Loève expansion. Then, failure probabilities are estimated employing maximum entropy distribution with fractional moments. The application of the proposed approach is examined with two examples: a case study of an undrained slope and a case study of a slope with cross-correlated random fields of strength parameters under a drained slope. The results show that the proposed approach has excellent accuracy and high efficiency, and it can be applied straightforwardly to similar geotechnical engineering problems.http://www.sciencedirect.com/science/article/pii/S167477552300269XSlopeRandom fieldReliability analysisMaximum entropy distributionLatinized partial stratified sampling |
| spellingShingle | Chengxin Feng Marcos A. Valdebenito Marcin Chwała Kang Liao Matteo Broggi Michael Beer Efficient slope reliability analysis under soil spatial variability using maximum entropy distribution with fractional moments Journal of Rock Mechanics and Geotechnical Engineering Slope Random field Reliability analysis Maximum entropy distribution Latinized partial stratified sampling |
| title | Efficient slope reliability analysis under soil spatial variability using maximum entropy distribution with fractional moments |
| title_full | Efficient slope reliability analysis under soil spatial variability using maximum entropy distribution with fractional moments |
| title_fullStr | Efficient slope reliability analysis under soil spatial variability using maximum entropy distribution with fractional moments |
| title_full_unstemmed | Efficient slope reliability analysis under soil spatial variability using maximum entropy distribution with fractional moments |
| title_short | Efficient slope reliability analysis under soil spatial variability using maximum entropy distribution with fractional moments |
| title_sort | efficient slope reliability analysis under soil spatial variability using maximum entropy distribution with fractional moments |
| topic | Slope Random field Reliability analysis Maximum entropy distribution Latinized partial stratified sampling |
| url | http://www.sciencedirect.com/science/article/pii/S167477552300269X |
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