边坡稳定性的多米诺骨牌模型分析方法

A domino model based method for slope stability

边坡稳定性分析的条分法现仍是边坡分析和评估的主要方法。然而,现今条分法分析均是基于整体分析思想,获得整体或常安全系数,这是一理想的模式。真实的边坡失稳一般是渐进的过程,而这种渐进的失稳模式与多米诺骨牌的失稳倒塌有很多相似之处。基于这种边坡渐进失稳的考虑,提出了一种新的分析边坡稳定性的条分方法,即多米诺骨牌模型分析方法(简称骨牌模型)。骨牌模型定义了每个条块的局部安全系数和边坡的安全系数,也即边坡的安全系数由控制条块的局部安全系数决定。而控制条块是在形成某一滑动面时,所有组成滑体条块中具有最大局部安全系数的条块。而边坡的安全系数则为所有滑动面所对应的控制条块的安全系数中,最小的安全系数。这样定义安全系数是出于骨牌模型的渐进破坏机制而考虑的,突破了传统条分法的整体或常安全系数的局限。给出了骨牌模型的求解方法和求解步骤,并通过算例分析了骨牌模型的求解特点。

The slices model for slope stability analysis is still the mainstream method for slope analysis and evaluation.However,the existing slice model analysis methods are only based on the whole analysis model to obtain an overall or a constant safety factor,which is an ideal model.The real slope failure is generally a gradual process,and this gradual failure process has many similarities with the collapse of dominoes.Considering the gradual slope instability,a new slice method,the domino model-based analysis method for analyzing the stability of the slope is proposed.The domino model defines a local safety factor of each slice and the safety factor of the slope as well,that is,the safety factor of the slope is determined by the local safety factor of the control slice of the slope.The control slice is the one which has the maximum local safety factor in the form of a sliding surface.The safety factor of the slope is defined as the minimum safety factor of the control slice corresponding to all sliding surfaces.This definition of safety factor is based on the consideration of the progressive failure mechanism of the domino model,which overcomes the limitation of the definition of an overall or a constant safety factor by the traditional slice methods.The soring method and procedure of the domino model-based method are given,and some of its solving characteristics are analyzed through examples.