Natural slopes consist of non-homogeneous soil profiles with distinct characteristics from slopes made of homogeneous soil. In this study, the limit equilibrium modified pseudo-dynamic method is used to analyze the stability of two-layered c-ϕ soil slopes in which the failure surface is assumed to be a logarithmic spiral. The zero-stress boundary condition at the ground surface under the seismic loading condition is satisfied. New formulations derived from an analytical method are proposed for the predicting the seismic response in two-layered soil. A detailed parametric study was performed in which various parameters (seismic accelerations, damping, cohesion, and angle of internal friction) were varied. The results of the present method were compared with those in the available literature. The present analytical analysis was also verified against the finite element analysis results.

天然斜坡由非均质土壤剖面组成，其特征与均质土壤制成的斜坡截然不同。在这项研究中，使用极限平衡修正伪动力学方法来分析两层c-ϕ的稳定性假定破坏面为对数螺旋的土质边坡。满足地震荷载作用下地表的零应力边界条件。提出了一种基于分析方法的新公式，用于预测两层土壤中的地震响应。进行了详细的参数研究，其中改变了各种参数（地震加速度，阻尼，内聚力和内摩擦角）。将本方法的结果与现有文献中的结果进行比较。还对照有限元分析结果验证了本分析分析。