基于尖点突变模型饱水边坡稳定性分析

为分析不同饱水条件下露天矿坑边坡稳定性,基于尖点突变理论,考虑矿坑水位变化对滑坡面岩体的劣化作用,构建饱水条件下边坡稳定性分析尖点突变模型。结果表明:不同饱水条件下对边坡岩石力学性质产生损伤,损伤演化方程符合负指数变化规律,并根据弱化规律建立非线性饱水弱化函数;对饱水滑面介质建立本构方程,引入饱水弱化函数,构建不同饱水条件下边坡稳定性分析尖点突变模型;根据尖点突变模型判别式得到,饱水作用对岩石损伤越大,判别值逐渐趋于0,边坡状态由稳定向失稳方向转变。研究成果可为边坡体内部含有的地质构造,如软弱结构等,以及受水位影响的库岸边坡稳定性分析提供有益思路。

Analysis on stability of water-saturation slopes based on cusp catastrophic model

This work analyzed the stability of slopes in open mine pits under various saturation conditions. Based on the theory of cusp catastrophe, considering the deterioration of the rock mass on the landslide by variations of water level in the pit, a cusp catastrophic model under water saturation was established. Analysis shows that saturations can weaken the rock body on the slope, which can be described by a negative exponential law. Then according to this law, a nonlinear saturated water weakening function and a constitute equation were constructed. The discriminant of the cusp catastrophe model indicates that with increasing damage to the rock, the discrimination value approaches to 0, implying the slope turns from stability into instability. The research results can provide useful lines of thought for the analysis of the stability of bank slopes with weak structure or affected by the water level of reservoirs.