基于随机场理论和强度折减法进行边坡稳定性分析

Slope stability was analyzed based on random field theory and strength reduction method

进行边坡稳定性分析时,常常是将边坡模型划分为几层,假定材料参数为随机变量模型,这种模拟方法只考虑了层与层之间材料参数的不同,没有反映出边坡实际情况,而随机场理论的引入恰好纠正了随机变量模型的不足。本文将随机场理论与有限元理论相结合,再利用强度折减法计算出边坡稳定安全系数。通过算例分析表明:在相同离散单元个数情况下,基于随机场理论和强度折减法计算的边坡稳定安全系数均比不引入随机场时要大。

In slope stability analysis,the slope model is often divided into several layers and the material parameters are assumed to be random variable model.This simulation method only considers the difference of material parameters between layers and does not reflect the actual situation of the slope.However,the introduction of random field theory corrects the deficiency of random variable model.In this paper,the random field theory is combined with the finite element theory and the strength reduction method is used to calculate the slope stability safety factor.The numerical example shows that the slope stability safety factor calculated based on random field theory and strength reduction method is larger than that without random field under the same number of discrete elements.