边坡稳定分析中圆弧与折线滑动面对比分析研究

Comparison between Arc and Polyline Failure Surfaces in Slope Stability Analysis

以分析圆弧和折线两种滑动面以及简化Bishop法和通用条分法两种方法对边坡稳定分析结果的影响为目标,基于极限平衡理论,采用边坡稳定分析软件Zslope,以均质边坡、加筋边坡以及成层土非均质边坡为例,计算中采用圆弧和折线两种滑动面,以及简化Bishop法和通用条分法两种极限平衡方法,分析比较其安全系数和临界滑动面的差异.研究结果表明,当滑动面为圆弧滑动面时,简化Bishop法与通用条分法计算得到的安全系数和临界滑动面位置基本相同;与圆弧滑动面相比,折线滑动面得到的安全系数偏小,对于加筋边坡以及非均质边坡,折线与圆弧滑动面搜索到的安全系数差别可能会较大,圆弧滑动面容易陷入局部极值,而折线滑动面则更有利于搜索到全局极值.研究成果对于边坡工程设计具有一定的参考价值.

In this paper, the effects of two kinds of sliding surfaces of arc and polyline and simplified Bishop method and generalized limit equilibrium method （GLE） for slope stability analysis are studied. Taking the homogeneous slope, the reinforced slope and the stratified soil heterogeneous slope as examples, the circular and polyline sliding surfaces are calculated by two algorithms to analyze the difference between the safety fac- tor and the critical slip surface. The results show that when the sliding surface is an arc sliding surface, the simplified Bishop method and the generalized limit equilibrium method have the same safety factor and critical slip surface. Compared with the arc sliding surface, the safety factor obtained by the polyline sliding surface is smaller. It is shown that the arc is easy to fall into local extremum for complex slopes; while the polyline slid- ing surface is easy to search for global extremum. The study results can provide theoretical references for the design of engineering slopes.