Metamodel-Based Slope Reliability Analysis—Case of Spatially Variable Soils Considering a Rotated Anisotropy

A rotation of the anisotropic soil fabric pattern is commonly observed in natural slopes with a tilted stratification. This study investigates the rotated anisotropy effects on slope reliability considering spatially varied soils. Karhunen–Loève expansion is used to generate the random fields of the...

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Autores principales:	Tingting Zhang, Xiangfeng Guo, Julien Baroth, Daniel Dias
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	slope stability rotated anisotropy random field limit analysis sparse polynomial chaos expansion global sensitivity analysis Geology QE1-996.5
Acceso en línea:	https://doaj.org/article/5a52f7ba16904b069f99eff4b3aec761
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spelling	oai:doaj.org-article:5a52f7ba16904b069f99eff4b3aec7612021-11-25T17:43:04ZMetamodel-Based Slope Reliability Analysis—Case of Spatially Variable Soils Considering a Rotated Anisotropy10.3390/geosciences111104652076-3263https://doaj.org/article/5a52f7ba16904b069f99eff4b3aec7612021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3263/11/11/465https://doaj.org/toc/2076-3263A rotation of the anisotropic soil fabric pattern is commonly observed in natural slopes with a tilted stratification. This study investigates the rotated anisotropy effects on slope reliability considering spatially varied soils. Karhunen–Loève expansion is used to generate the random fields of the soil shear strength properties (i.e., cohesion and friction angle). The presented probabilistic analyses are based on a meta-model combining Sparse Polynomial Chaos Expansion (SPCE) and Global Sensitivity Analysis (GSA). This method allows the number of involved random variables to be reduced and then the computational efficiency to be improved. Two kinds of deterministic models, namely a discretization kinematic approach and a finite element limit analysis, are considered. A variety of valuable results (i.e., failure probability, probability density function, statistical moments of model response, and sensitivity indices of input variables) can be effectively provided. Moreover, the influences of the rotated anisotropy, autocorrelation length, coefficient of variation and cross-correlation between the cohesion and friction angle on the probabilistic analysis results are discussed. The rotation of the anisotropic soil stratification has a significant effect on the slope stability, particularly for the cases with large values of autocorrelation length, coefficient of variation, and cross-correlation coefficient.Tingting ZhangXiangfeng GuoJulien BarothDaniel DiasMDPI AGarticleslope stabilityrotated anisotropyrandom fieldlimit analysissparse polynomial chaos expansionglobal sensitivity analysisGeologyQE1-996.5ENGeosciences, Vol 11, Iss 465, p 465 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	slope stability rotated anisotropy random field limit analysis sparse polynomial chaos expansion global sensitivity analysis Geology QE1-996.5
spellingShingle	slope stability rotated anisotropy random field limit analysis sparse polynomial chaos expansion global sensitivity analysis Geology QE1-996.5 Tingting Zhang Xiangfeng Guo Julien Baroth Daniel Dias Metamodel-Based Slope Reliability Analysis—Case of Spatially Variable Soils Considering a Rotated Anisotropy
description	A rotation of the anisotropic soil fabric pattern is commonly observed in natural slopes with a tilted stratification. This study investigates the rotated anisotropy effects on slope reliability considering spatially varied soils. Karhunen–Loève expansion is used to generate the random fields of the soil shear strength properties (i.e., cohesion and friction angle). The presented probabilistic analyses are based on a meta-model combining Sparse Polynomial Chaos Expansion (SPCE) and Global Sensitivity Analysis (GSA). This method allows the number of involved random variables to be reduced and then the computational efficiency to be improved. Two kinds of deterministic models, namely a discretization kinematic approach and a finite element limit analysis, are considered. A variety of valuable results (i.e., failure probability, probability density function, statistical moments of model response, and sensitivity indices of input variables) can be effectively provided. Moreover, the influences of the rotated anisotropy, autocorrelation length, coefficient of variation and cross-correlation between the cohesion and friction angle on the probabilistic analysis results are discussed. The rotation of the anisotropic soil stratification has a significant effect on the slope stability, particularly for the cases with large values of autocorrelation length, coefficient of variation, and cross-correlation coefficient.
format	article
author	Tingting Zhang Xiangfeng Guo Julien Baroth Daniel Dias
author_facet	Tingting Zhang Xiangfeng Guo Julien Baroth Daniel Dias
author_sort	Tingting Zhang
title	Metamodel-Based Slope Reliability Analysis—Case of Spatially Variable Soils Considering a Rotated Anisotropy
title_short	Metamodel-Based Slope Reliability Analysis—Case of Spatially Variable Soils Considering a Rotated Anisotropy
title_full	Metamodel-Based Slope Reliability Analysis—Case of Spatially Variable Soils Considering a Rotated Anisotropy
title_fullStr	Metamodel-Based Slope Reliability Analysis—Case of Spatially Variable Soils Considering a Rotated Anisotropy
title_full_unstemmed	Metamodel-Based Slope Reliability Analysis—Case of Spatially Variable Soils Considering a Rotated Anisotropy
title_sort	metamodel-based slope reliability analysis—case of spatially variable soils considering a rotated anisotropy
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/5a52f7ba16904b069f99eff4b3aec761
work_keys_str_mv	AT tingtingzhang metamodelbasedslopereliabilityanalysiscaseofspatiallyvariablesoilsconsideringarotatedanisotropy AT xiangfengguo metamodelbasedslopereliabilityanalysiscaseofspatiallyvariablesoilsconsideringarotatedanisotropy AT julienbaroth metamodelbasedslopereliabilityanalysiscaseofspatiallyvariablesoilsconsideringarotatedanisotropy AT danieldias metamodelbasedslopereliabilityanalysiscaseofspatiallyvariablesoilsconsideringarotatedanisotropy
_version_	1718412043872108544

Metamodel-Based Slope Reliability Analysis—Case of Spatially Variable Soils Considering a Rotated Anisotropy

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