边坡稳定性分析的可靠度方法  

RELIABILITY APPROACH TO THE ANALYSIS OF SLOPE STABILITY

作　　者：林立相[1,2] 徐汉斌 

机构地区：[1]中国科学院,水利部成都山地灾害与环境研究所 [2]四川省交通厅公路勘察规划设计院

出　　处：《山地学报》1999年第3期235-239,共5页Mountain Research

基　　金：四川省计委课题

摘　　要：通过边坡破坏概率与安全系数的比较分析，提出基于概率方法的可靠性分析的必要性；同时从边坡可靠度指标β的几何定义出发，建立马氏距离表达式，并对其结果的可行性进行了验证。The stability analysis of slopes are commonly conducted by using factor of safety (Fos) methods. However, The Fos is far from a satisfactory risk measure. This paper presents an alternative approach using analytic techniques of reliability basing on probabilistic methods. The study focus is on the determination of Hasofer_Lind reliability index(H_L β) which actually reflects the risk degree of slopes. And the H_L β can be geometrically explained as a distance from the mean value of random variables to the limit failure surface in original space X(x 1,x 2,...,x n). Based on this definition, a H_L β solution is progressively worked out in formulations of Mahalanobis distance for multivariate slope problems. The model is presented as follows: β d= min x∈R [(x i-μ iσ i) T·R -1 (x i-μ iσ i)] 12 It successfully displays the designed value of H_L β and could be respectively practiced to normally independent and correlated variables selected from slope systems. The processes of example analysis show more convenient in calculations and more acceptable in results than those of performance function g(x) approaches.

关 键 词：边坡 可能性 可靠度指标 边坡稳定性 

分 类 号：P642.22[天文地球—工程地质学] TU457[天文地球—地质矿产勘探]