Abstract: 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.
Keywords: slope engineering; reliability; stability; normal stress over sliding surface; weighted uniform simulation; sliding surface