基于总位移指标的反倾岩质边坡倾倒变形影响因子敏感性分析

为分析反倾边坡倾倒变形影响因子敏感性差异，本文采用数值模拟与灰色关联相结合的方法进行研究。首先将边坡几何特征参数、岩体物理力学参数、岩层力学参数定为反倾边坡第一级倾倒变形影响因子，并从各一级因子中进一步划分出边坡坡度、岩层倾角、岩层柔度等12个次级影响因子；然后对各二级影响因子分别选取11个水平数，并将12个二级影响因子、11级水平数随机组合成11套数值模拟方案，采用UDEC进行各方案数值模拟分析；最后采用灰色关联理论以坡顶倾倒变形水平位移为参考序列对12个二级影响因子进行关联度计算，并进一步分析出了3个一级影响因子敏感性大小。研究结果表明：（1）12个二级影响因子对倾倒变形影响最大的是岩层倾角；（2）三个一级影响因子中几何特征参数对倾倒变形影响最大，岩层层理力学参数对反倾边坡变形影响次之，岩块物理力学参数对反倾边坡变形影响最小。

Sensitivity analysis of toppling deformation at a reverse-dip rock slope based on total displacement

This paper analyzes the sensitivity of impact factors of bending and toppling deformation at a reverse-dip slope using numerical simulation combined with the grey association method. Firstly, the parameters of geometry, physics and mechanics of the rock are defined as three first-order deformation impact factors, from which 12 second- order impact factors are divided including slope gradient, including slope angle, strata dip and strata compliance. Then for each second-order impact factor, 11 levels are selected, respectively. And the 12 second-order impact factors and 11 levels are randomly grouped into 11 sets for numerical simulation schemes, and UDEC is used to perform simulation on each scheme. Finally, the grey association method is used to calculate the correlation of each impact factor with bending and toppling deformation and to determine the sensitivity of the three first-order impact factors. The results show that (1) the strata dip has the greatest impact on the bending and toppling deformation in the 12 second-order impact factors. (2) In three first-order impact factors, the geometry of the slope can pose the largest impact on the bending and toppling deformation of the reverse-dip slope, followed by the mechanical parameters of joints, and the physical and mechanical parameters of rock masses has the minimum impact.