中文摘要：

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-φ声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．

英文摘要：

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.