Efficient slope reliability analysis under soil spatial variability using maximum entropy distribution with fractional moments



Feng, Chengxin ORCID: 0000-0002-3864-0324, Valdebenito, Marcos A ORCID: 0000-0002-5083-0454, Chwała, Marcin ORCID: 0000-0003-1185-8785, Liao, Kang, Broggi, Matteo ORCID: 0000-0002-3683-3907 and Beer, Michael ORCID: 0000-0002-0611-0345
(2024) Efficient slope reliability analysis under soil spatial variability using maximum entropy distribution with fractional moments. Journal of Rock Mechanics and Geotechnical Engineering, 16 (4). pp. 1140-1152.

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Abstract

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.

Item Type: Article
Divisions: Faculty of Science and Engineering > School of Engineering
Depositing User: Symplectic Admin
Date Deposited: 27 Nov 2023 15:59
Last Modified: 22 Apr 2024 02:44
DOI: 10.1016/j.jrmge.2023.09.006
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3177033