基于随机场的岩石边坡三维稳定性分析

Three-dimensional stability assessment of rock slopes based on random fields

基于随机场理论,考虑了岩石材料属性的空间变异性对岩石边坡稳定性的影响,将边坡主滑面上的摩擦系数和粘聚力视为高斯随机变量,确定了主滑面上的摩擦系数和粘聚力的均值、方差和协方差,获得了两个随机量之间的相关系数和互相关长度。在此基础上,对岩石边坡进行了三维稳定性分析,确定了岩石边坡的稳定系数和失效概率。数值计算结果表明,摩擦系数和粘聚力的空间变异性对边坡稳定性有重要影响。

The stability of rock slopes is analyzed by considering the spatial variability of the rock materials based on theory of random fields. Both the cohesion and frictional coef cient along the main sliding surface are treated as Gaussian random elds, and the mean value, variance, covariance of the cohesion and frictional coef cient are determined. Spatial correlation lengths and the cross-correlation between cohesion and coef cient are obtained. Three-dimensional stability assessment of rock slopes is analyzed to obtain the factor of safety and probability of failure of rock slope. The numerical results show that the spatial variability of cohesion and coef cient of friction significantly affect the safety of rock slopes.