Research on reliability analysis methods for 3D slope stability

Journal Information

J. Hefei Univ. Tech. (Nat. Sci.), Jul. 2026, Vol. 49 No. 7: 1003-1008

DOI: 10.3969/j.issn.1003-5060.2026.07.021

Authors

ZHOU Gang $ ^{1} $, JIA Senlin $ ^{2} $, SHANG Zhaotao $ ^{1} $, XU Shanjin $ ^{2} $, LU Kunlin $ ^{2} $ (1. Wuhu Rail

(Tunnel) Traffic Engineering Quality and Safety Supervision Station, Wuhu 241000, China; 2. School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei 230009, China)

Abstract and Keywords

Abstract: The reliability research on two-dimensional slope stability has matured over time. However, methods for analyzing the reliability of three-dimensional slope stability require further investigation. Grounded in the theory of stochastic fields, the weighted uniform simulation has been enhanced and incorporated into the three-dimensional limit equilibrium method based on the normal stress distribution on the constructed sliding surface, thereby proposing a reliability analysis method for three-dimensional slope stability utilizing the weighted uniform simulation for the normal stress distribution on the constructed sliding surface. The method takes into consideration the influence of uncertain parameters on the shape and distribution of the most critical sliding surface of the slope. The research outcomes demonstrate a significant improvement in the computational efficiency of reliability analysis using this method, leading to reduced computational costs while maintaining precision. This study provides valuable insights into theoretical approaches to assess the reliability of three-dimensional slope stability.

Keywords: slope engineering; reliability; stability; normal stress over sliding surface; weighted uniform simulation

作者信息

周刚 $ ^{1} $，贾森林 $ ^{2} $，商兆涛 $ ^{1} $，徐善进 $ ^{2} $，卢坤林 $ ^{2} $

(1. 芜湖市轨道(隧道)交通工程质量安全监督站, 安徽芜湖 241000; 2. 合肥工业大学土木与水利工程学院, 安徽合肥 230009)

摘要和关键词

摘要: 二维边坡稳定性的可靠性研究日趋成熟,然而三维边坡稳定性可靠度分析方法仍需进一步研究,文章在随机场理论基础上,改进了概率密度权重法,嵌入基于构造滑动面正应力分布的三维极限平衡法中,提出了基于构造滑面正应力分布概率密度权重法的三维边坡稳定可靠性分析方法,且考虑了不确定参数对边坡最危险滑动面形状及分布的影响。结果表明,该方法大大提高可靠度分析的计算效率、降低计算成本、保障一定的精度。该研究成果为三维边坡稳定可靠性的理论研究提供了一种思路。

关键词: 边坡工程；可靠性；稳定性；滑面正应力；概率密度权重法

Funding

国家自然科学基金资助项目（52079121）；安徽省自然科学基金资助项目（2208085ME149）

合肥工业大学学报(自然科学版)

Navigation