边坡可靠度分析的响应面方法比较研究  

Comparison among response surface methods for slope reliability analysis

作　　者：李典庆[1,2] 郑栋[1,2] 曹子君[1,2] 唐小松[1,2] LI Dianqing ZHENG Dong CAO Zijun TANG Xiaosong(State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering of Ministry of Education,Wuhan University, Wuhan 430072, China)

机构地区：[1]武汉大学水资源与水电工程科学国家重点实验室,湖北武汉430072 [2]武汉大学水工岩石力学教育部重点实验室,湖北武汉430072

出　　处：《武汉大学学报（工学版）》2017年第1期1-17,共17页Engineering Journal of Wuhan University

基　　金：国家自然科学基金项目(编号:51329901;51579190;51528901);湖北省自然科学基金创新群体项目(编号:2014CFA001)

摘　　要：系统地总结了多种响应面法(RSM)在不同类型边坡可靠度问题中的应用情况,通过文献分析总结出4类典型土坡可靠度问题:问题Ⅰ,单层土坡不考虑参数空间变异性;问题Ⅱ,单层土坡考虑参数空间变异性;问题Ⅲ,多层土坡不考虑参数空间变异性;问题Ⅳ,多层土坡考虑参数空间变异性.重点研究了基于多项式的4种响应面法(SQRSM、MQRSM、SSRSM和MSRSM)在解决4类土坡可靠度问题(问题Ⅰ~Ⅳ)中的有效性.分别从计算精度和计算效率两个方面系统地比较了4种响应面法在黏性土坡和c-土坡可靠度问题中的适用性.结果表明:对于不考虑土性参数空间变异性的单层土坡可靠度问题(问题Ⅰ),推荐SQRSM;当单层土坡考虑土性参数空间变异性时(问题Ⅱ),推荐MSRSM;对于不考虑空间变异性的多层土坡可靠度问题(问题Ⅲ),推荐MQRSM;对于考虑参数空间变异性的多层土坡可靠度问题(问题Ⅳ),推荐采用MSRSM方法.The applications of various response surface methods （RSMs） in different slope reliability prob- lems are systematically analyzed. On the base of literature review, four typical types of soil slope reliability problems （Problems Ⅰ -Ⅳ） are summarized. Problem I： single-layered soil slope ignoring spatial variabili- ty; Problem Ⅱ; single-layered soil slope considering spatial variability; Problem Ⅲ ： multiple-layered soil slope ignoring spatial variability; Problem IV： multiple-layered soil slope considering spatial variability. Concentrating on dealing with the four typical types of problems, the validity of four polynomial-based RSMs （SQRSM, MQRSM, SSRSM and MSRSM） is studied. In terms of computational accuracy and effi- ciency, the applicability and feasibility of the four polynomial-based RSMs for cohesive and c-φ slopes are systematically compared. The results indicate that for the single-layered soil slope ignoring spatial variabil- ity （i. e. Problem Ⅰ ）, SQRSM is recommended. For the single-layered soil slope considering spatial varia- bility （i. e. Problem Ⅱ）, MSRSM is applicable. For the multiple-layered soil slope ignoring spatial varia- bility （i. e. Problem Ⅲ）, MQRSM is reasonable. For the multiple-layered soil slope considering spatial variability （i. e. Problem Ⅳ）, MSRSM is suggested.

关 键 词：边坡稳定 可靠度 空间变异性 响应面法 失效概率 

分 类 号：P642.22[天文地球—工程地质学]