Probabilistic slope stability analysis: A novel distribution for soils exhibiting highly variable spatial properties

IF 3 3区工程技术 Q2 ENGINEERING, MECHANICAL

Probabilistic Engineering Mechanics Pub Date : 2024-03-15 DOI:10.1016/j.probengmech.2024.103586

Vincent Renaud, Marwan Al Heib

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引用次数: 0

Abstract

Slope stability calculation depends on the soil properties (cohesion and the friction angle) of the soil. Heterogeneous terrains are frequently observed in civil and mining projects where the properties are highly spatially variable. Based on a real data from case studies, this paper presents a probabilistic analysis of the slope stability of highly heterogeneous terrains with a very high coefficient of variation (COV) of the cohesion distribution. The existing deterministic and probabilistic approaches for calculating slope stability lack the capability to effectively consider the significant heterogeneity present in the terrain The objective of the paper is to develop a new bounded interval distribution having a COV that is as high (>150%) as the COV of the cohesion distribution The results obtained with this new distribution are compared to 4 other semi-infinite distributions. To consider the correlation between cohesion and the friction angle, a specific formulation was developed to generate friction angles varying between fixed minimum and maximum limits and having the desired correlation coefficient, mean, and standard deviation. The new cohesion and friction angle distributions were incorporated and tested in a probabilistic numerical model. The new distribution can presently be applied to geotechnical studies for terrains and heterogenous materials with properties exhibiting high spatial variability.

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斜坡稳定性概率分析：针对空间特性变化极大的土壤的新型分布方法

边坡稳定性计算取决于土壤的特性（内聚力和摩擦角）。在土木工程和采矿工程中经常可以看到异质地形，这些地形的特性在空间上变化很大。本文基于案例研究的真实数据，对内聚力分布变异系数（COV）非常高的高度异质地形的边坡稳定性进行了概率分析。本文的目的是开发一种新的有界区间分布，其 COV 与内聚力分布的 COV 一样高（150%）。为了考虑内聚力和摩擦角之间的相关性，我们开发了一种特定的公式，用于生成在固定的最小和最大限制之间变化的摩擦角，并具有所需的相关系数、平均值和标准偏差。新的内聚力和摩擦角分布已纳入概率数值模型并进行了测试。目前，新的分布可用于地形和异质材料的岩土工程研究，这些材料的特性表现出很高的空间变异性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Probabilistic Engineering Mechanics 工程技术-工程：机械

CiteScore

3.80

自引率

15.40%

发文量

审稿时长

13.5 months

期刊介绍： This journal provides a forum for scholarly work dealing primarily with probabilistic and statistical approaches to contemporary solid/structural and fluid mechanics problems encountered in diverse technical disciplines such as aerospace, civil, marine, mechanical, and nuclear engineering. The journal aims to maintain a healthy balance between general solution techniques and problem-specific results, encouraging a fruitful exchange of ideas among disparate engineering specialities.