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

verfasst von

Chengxin Feng, Marcos A. Valdebenito, Marcin Chwała, Kang Liao, Matteo Broggi, Michael Beer

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.

Organisationseinheit(en)

Institut für Risiko und Zuverlässigkeit

Externe Organisation(en)

Technische Universität Dortmund
Wroclaw University of Technology
Southwest Jiaotong University
The University of Liverpool
Tongji University

Typ

Artikel

Journal

Journal of Rock Mechanics and Geotechnical Engineering

Band

16

Seiten

1140-1152

Anzahl der Seiten

13

ISSN

1674-7755

Publikationsdatum

04.2024

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Geotechnik und Ingenieurgeologie

Elektronische Version(en)

https://doi.org/10.1016/j.jrmge.2023.09.006 (Zugang: Offen)