An Analytical Insight Into Stability Analysis of Unsaturated Multi-Layered Slopes Subjected to Rainfall Infiltration

IF 3.4 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-09-16 DOI:10.1002/nag.3833

Cheng Yuan, Changbing Qin, Yueling Yang, Zhibin Sun, Liang Li, Xiaoqin Lei, Siau Chen Chian

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引用次数: 0

Abstract

Slopes in nature usually present layered characteristics, and its stability is susceptible to rainfall events. Considering that current analytical solutions are only suited to simulate the rainfall infiltration of double-layered infinite unsaturated slopes, an analytical procedure is hence proposed in this study to tackle the consideration of multiple layers. The variable separation method and transfer matrix method are combined to derive the analytical solution of pore water pressure (PWP) for simulating rainfall infiltration in layered infinite unsaturated slopes. After having validated the proposed model and analytical solutions by comparing with existing literature and numerical simulation, the closed-form solution of PWP is incorporated into the limit equilibrium for assessing slope stability. A three-layer slope is selected as an example for further discussion. PWP distribution and factor of safety are calculated, considering the effects of saturated hydraulic conductivity and thickness of the upper layer, intensity of antecedent and subsequent rainfall, and varied soil unit weight along the depth. The slope stability subjected to rainfall effects is consistent with the variation of PWP. The proposed analytical solutions provide a simple and practical avenue for computing PWP distribution and evaluating the stability of multi-layered slopes under rainfall conditions, which can also serve as a benchmark for numerical solutions.

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受降雨渗透影响的非饱和多层斜坡稳定性分析透视

自然界中的斜坡通常具有分层特征，其稳定性容易受到降雨事件的影响。考虑到目前的分析方法仅适用于模拟双层无限非饱和斜坡的降雨入渗，因此本研究提出了一种分析程序来解决多层斜坡的问题。结合变量分离法和传递矩阵法，得出孔隙水压力（PWP）的解析解，用于模拟降雨在分层无限非饱和斜坡中的渗透。通过与现有文献和数值模拟进行比较，验证了所提出的模型和解析解，然后将孔隙水压力的闭式解纳入极限平衡，以评估边坡稳定性。本文选取了一个三层斜坡作为进一步讨论的实例。考虑了上层饱和导流系数和厚度、前降雨强度和后降雨强度以及沿深度变化的土壤单位重量的影响，计算了脉动系数分布和安全系数。受降雨影响的边坡稳定性与工作面坡度的变化是一致的。所提出的分析解决方案为计算降雨条件下多层斜坡的脉动系数分布和评估其稳定性提供了一个简单实用的途径，同时也可作为数值解决方案的基准。

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

International Journal for Numerical and Analytical Methods in Geomechanics 工程技术-材料科学：综合

CiteScore

6.40

自引率

12.50%

发文量

160

审稿时长

9 months

期刊介绍： The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.