岩土力学 ›› 2025, Vol. 46 ›› Issue (3): 1001-1012.doi: 10.16285/j.rsm.2024.0594

• 数值分析 • 上一篇    下一篇

考虑初始含水率非均匀分布及孔隙水重分布的边坡可靠度分析

元志镕1,蒋水华1,常志璐1, 2,向晖3,刘玉伟4,黄劲松1   

  1. 1. 南昌大学 工程建设学院,江西 南昌 330031;2. 南昌大学 资源与环境学院,江西 南昌 330031; 3. 中建铁路投资建设集团有限公司,北京 102601;4. 江西省自然资源政策调查评估中心,江西 南昌 330045
  • 收稿日期:2024-05-20 接受日期:2024-08-13 出版日期:2025-03-10 发布日期:2025-03-10
  • 通讯作者: 蒋水华,男,1987年生,博士,教授,博士生导师,主要从事岩土工程可靠度与风险分析方面的研究。E-mail: sjiangaa@ncu.edu.cn
  • 作者简介:元志镕,男,2001年生,博士研究生,主要从事降雨入渗及可靠度评估方面的研究。E-mail: yuanzhirong@email.ncu.edu.cn
  • 基金资助:
    国家自然科学基金项目(No.52222905,No.52179103,No.42272326,No.52407241);江西省自然科学基金项目(No.20242BAB24001,No.20232ACB204031,No.20224ACB204019)

Reliability analysis of slope stability considering non-uniform distribution of initial soil water content and pore water redistribution

YUAN Zhi-rong1, JIANG Shui-hua1, CHANG Zhi-lu1, 2, XIANG Hu3, LIU Yu-wei4, HUANG Jin-song1   

  1. 1. School of Infrastructure Engineering, Nanchang University, Nanchang, Jiangxi 330031, China; 2. School of Resources & Environment, Nanchang University, Nanchang, Jiangxi 330031, China; 3. China State Construction Railway Investment & Engineering Group Co., Ltd., Beijing 102601, China; 4. Natural Resources Policy Investigation and Evaluation Center of Jiangxi Province, Nanchang, Jiangxi 330045, China
  • Received:2024-05-20 Accepted:2024-08-13 Online:2025-03-10 Published:2025-03-10
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (52222905, 52179103, 42272326, 52407241) and Jiangxi Provincial Natural Science Foundation (20242BAB24001, 20232ACB204031, 20224ACB204019).

摘要: 建立合理的降雨入渗分析模型是分析降雨诱发边坡失稳机制及防控滑坡灾害的重要前提。目前Richards方程数值解和Green-Ampt模型常用于边坡降雨入渗分析,然而Richards方程数值解易出现计算不收敛问题,Green-Ampt模型计算精度较低,不能考虑初始含水率非均匀分布和孔隙水重分布过程。在传统Green-Ampt模型基础上,将边坡地层沿深度方向离散为多个空间微元,将降雨事件离散为多个小时段,进而提出边坡降雨入渗分析的时空逼近法,阐明降雨入渗下非均质无限长边坡渗流、稳定及可靠度演化规律。结果表明:与Richards方程数值解相比,提出的时空逼近法是一种计算稳定且精度较高的降雨入渗分析方法,不存在计算不收敛问题。此外,如果不考虑孔隙水重分布过程会低估边坡失效概率和错误估计最危险滑面位置。研究结果可为复杂边坡降雨入渗分析及降雨型浅层滑坡灾害防控提供理论支撑。

关键词: 边坡可靠度分析, 空间变异性, 降雨入渗分析, 初始含水率, 孔隙水重分布

Abstract: Establishing a reasonable rainfall infiltration model is crucial for understanding the mechanisms of rainfall-induced slope failures and for preventing and controlling landslide disasters. Currently, numerical solutions to the Richards equation and the Green-Ampt model are commonly employed to analyze rainfall infiltration in slopes. However, numerical solutions to the Richards equation often encounter convergence issues, while the Green-Ampt model suffers from relatively low accuracy and an inability to account for non-uniform initial soil moisture distribution and pore water redistribution. In this study, we propose a spatiotemporal approximation method based on the Green-Ampt model for analyzing rainfall infiltration in slopes. This method involves discretizing the slope stratum into multiple spatial elements along the depth and dividing the rainfall event into multiple time intervals. Using this method, we investigate the changes in seepage, stability, and reliability of heterogeneous infinite slopes under rainfall infiltration. The results show that, compared to numerical solutions of the Richards equation, the proposed method is a robust and accurate approach for analyzing rainfall infiltration, with no convergence issues. Additionally, ignoring the pore water redistribution process can lead to underestimating the probability of slope failure and misidentifying the location of the critical sliding surface. The research outcome can provide theoretical support for rainfall infiltration analysis of complex slopes and prevention and control of rainfall-induced shallow landslide disasters.

Key words: slope reliability analysis, spatial variability, rainfall infiltration analysis, initial soil water content, pore water redistribution

中图分类号: U213.1
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