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借助简单均质土坡安全系数精确解析式,采用最优化方法的枚举法搜索最小可靠指标βmin和安全系数Fsmin(及对应的可靠指标βFmin)。对安全系数法和可靠指标法两大评价体系以及βmin和βFmin的相互关系和差异性等方面进行了例证比较分析,同时揭示了传统条分法(GLE法)计算值的保守性以及在某些滑弧出现反翘(即存在被动土体区域)情况下对滑弧形状的判断失误。考虑土性参数分布类型及变异特征的影响,利用Monte-Carlo法求解各个假想滑弧的安全系数Fsi和失效概率Pfi,并以Pfi对Fsi进行折减(定义为折减安全系数FsRi=Fsi(1-Pfi))建立了以最小折减安全系数FsR=min(FsRi)为评价标准的边坡稳定联合评价体系。通过典型算例证明该评价体系与文献中的二元指标体系有很好的一致性。
With the exact analytic formula of the safety coefficient of simple homogeneous soil slope, the least reliable index βmin and the safety factor Fsmin (and the corresponding reliable index βFmin) are searched by the enumeration method of optimization method. The comparative analysis of the two evaluation systems of safety factor method and reliability index method and the relationship and difference between βmin and βFmin are also carried out. At the same time, it is revealed that the conservative value of the traditional piecewise method (GLE method) The arcing of the arc appears arc slip (that is, the existence of passive soil area) in the case of slippery arc shape judgment error. Considering the influence of the distribution types and variation characteristics of soil parameters, the safety factor Fsi and failure probability Pfi of each imaginary sliding arc are solved by Monte-Carlo method, and Fsi is reduced by Pfi (defined as the reduction safety factor FsRi = Fsi ( 1-Pfi)), a joint evaluation system of slope stability was established based on the evaluation criterion of minimum reduction safety factor FsR = min (FsRi). A typical example shows that the evaluation system is in good agreement with the binary index system in the literature.