基于构造滑动面正应力分布边坡可靠性分析方法研究  

Study on reliability analysis of slope stability based on constructing normal stress distribution over sliding surface

作　　者：徐善进 卢坤林[1] 梅一帆 贾森林 XU Shanjin;LU Kunlin;MEI Yifan;JIA Senlin(School of Civil and Hydraulic Engineering,Hefei University of Technology,Hefei 230009,China)

机构地区：[1]合肥工业大学土木与水利工程学院,安徽合肥230009

出　　处：《合肥工业大学学报(自然科学版)》2025年第3期418-425,432,共9页Journal of Hefei University of Technology:Natural Science

基　　金：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)。

摘　　要：现有确定性分析进行的边坡可靠性分析较少考虑任意形状滑动面及土体参数不确定性对其形状和分布影响。文章提出了基于构造滑动面正应力分布概率密度权重边坡稳定可靠性分析方法,通过临界滑动场法识别边坡任意滑动面,并基于构造滑动面正应力分布严格极限平衡法建立安全系数与土体参数间的非线性显式表达式,结合概率密度权重法进行边坡稳定可靠性评估,3个典型边坡算例验证了所提方法的合理性。结果表明:该方法计算的失效概率比现有考虑代表性圆弧滑动面方法所得失效概率均高10%以上;不考虑任意形状滑动面及土体参数不确定性对其形状和分布影响将会高估边坡稳定可靠性;同时,获得的边坡不确定性分析显式极限状态函数具有计算成本低、效率高的优势。该研究成果为任意滑动面的边坡稳定可靠性的严格显式解答提供了新思路。The reliability analysis of slope stability based on the existing deterministic analysis rarely considers the arbitrary sliding surface and the influence of the uncertainty of soil parameters on its shape and distribution.The reliability analysis method of slope stability based on constructing normal stress distribution over the sliding surface with weighted uniform simulation is proposed.In this method,the critical slip field(CSF)method is used to identify arbitrary sliding surface.For each most dangerous sliding surface,the strict limit equilibrium method for constructing normal stress distribution over the sliding surface is used to establish the nonlinear explicit expression between the safety factor and the soil parameters,and the weighted uniform simulation is combined to achieve the reliability assessment of slope stability.The rationality of the proposed method is verified by three typical slope examples.The results show that the failure probability calculated by this method is more than 10%higher than that calculated by the existing method considering the representative circular sliding surface.If the arbitrary sliding surface and the influence of the uncertainty of soil parameters on its shape and distribution is not considered,the reliability of slope stability will be overestimated.At the same time,the explicit limit state function of slope uncertainty analysis obtained by this method has the advantages of low calculation cost and high efficiency.The research results provide a method for strict explicit solution of the reliability of slope stability with arbitrary sliding surface.

关 键 词：边坡工程 可靠性 稳定性 滑动面正应力 概率密度权重法 滑动面 

分 类 号：TU432.1[建筑科学—岩土工程]