{"title":"In fluence of a firm stratum on probabilistic slope stability analyses with spatially variable undrained soil strength","authors":"","doi":"10.1016/j.compgeo.2024.106782","DOIUrl":null,"url":null,"abstract":"<div><div>The influence of a firm stratum on the stability of a slope under undrained conditions has long been of interest to geotechnical investigators, which has been studied in a number of previously important works in relation to slope stability analyses without considering soil spatial variability. This paper proposes another look at such a problem in the context of probabilistic slope stability analyses considering soil spatial variability. Here, the random field (RF) is used to simulate the spatially variable undrained soil strength. It is found that under stationary RF and non-stationary RF with the soil strength at the top ground surface (<em>s<sub>u0</sub></em>) larger than 0, the depth of the firm stratum (<em>H<sub>f</sub></em>) has a significant influence on the mean and standard deviation of factor of safety (i.e., <em>μ</em>[FS] and <em>σ</em>[FS], respectively). By contrast, under non-stationary RF with <em>s<sub>u0</sub></em> = 0, <em>H<sub>f</sub></em> has a slight influence on <em>μ</em>[FS], but its influence on <em>σ</em>[FS] is non-negligible. In addition, the autocorrelation distance is found to have an insignificant impact on the influential effect of <em>H<sub>f</sub></em> on <em>μ</em>[FS]. However, for <em>σ</em>[FS], this impact is not negligible. When the autocorrelation distance is smaller, the influence of <em>H<sub>f</sub></em> on <em>σ</em>[FS] would be more significant. Under non-stationary RF, the influence of <em>H<sub>f</sub></em> on <em>σ</em>[FS] would be slight if the autocorrelation distance is large enough. Furthermore, the impacts of slope ratio, <em>s<sub>u0</sub></em>, isotropic and anisotropic features on the influential effects of <em>H<sub>f</sub></em> are also investigated and discussed.</div></div>","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":null,"pages":null},"PeriodicalIF":5.3000,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computers and Geotechnics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0266352X24007213","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
Abstract
The influence of a firm stratum on the stability of a slope under undrained conditions has long been of interest to geotechnical investigators, which has been studied in a number of previously important works in relation to slope stability analyses without considering soil spatial variability. This paper proposes another look at such a problem in the context of probabilistic slope stability analyses considering soil spatial variability. Here, the random field (RF) is used to simulate the spatially variable undrained soil strength. It is found that under stationary RF and non-stationary RF with the soil strength at the top ground surface (su0) larger than 0, the depth of the firm stratum (Hf) has a significant influence on the mean and standard deviation of factor of safety (i.e., μ[FS] and σ[FS], respectively). By contrast, under non-stationary RF with su0 = 0, Hf has a slight influence on μ[FS], but its influence on σ[FS] is non-negligible. In addition, the autocorrelation distance is found to have an insignificant impact on the influential effect of Hf on μ[FS]. However, for σ[FS], this impact is not negligible. When the autocorrelation distance is smaller, the influence of Hf on σ[FS] would be more significant. Under non-stationary RF, the influence of Hf on σ[FS] would be slight if the autocorrelation distance is large enough. Furthermore, the impacts of slope ratio, su0, isotropic and anisotropic features on the influential effects of Hf are also investigated and discussed.
期刊介绍:
The use of computers is firmly established in geotechnical engineering and continues to grow rapidly in both engineering practice and academe. The development of advanced numerical techniques and constitutive modeling, in conjunction with rapid developments in computer hardware, enables problems to be tackled that were unthinkable even a few years ago. Computers and Geotechnics provides an up-to-date reference for engineers and researchers engaged in computer aided analysis and research in geotechnical engineering. The journal is intended for an expeditious dissemination of advanced computer applications across a broad range of geotechnical topics. Contributions on advances in numerical algorithms, computer implementation of new constitutive models and probabilistic methods are especially encouraged.