基于灰理论的边坡稳定性影响因素敏感度分析

Analysis of Sensitivity of Slope Stability Based on Grey Theory

边坡的几何特征、岩土体的物理力学参数和地震峰值加速度等因素对公路边坡稳定性影响程度具有差异性。通过人工调查和钻探技术,基于灰色关联理论,研究了天水地区某公路沿线黄土边坡稳定性对内摩擦角、黏聚力、重度、坡高、坡率和地震峰值加速度的敏感度。结果表明:边坡稳定性对内摩擦角和黏聚力敏感度最大,关联系数为0.897~0.995;其次为坡高和重度,关联系数为0.504~0.528;对坡率和地震峰值加速度敏感度最小,关联系数为0.491~0.506。一般边坡(坡高≤20m)稳定性对黏聚力敏感度比内摩擦角大,对重度的敏感度比坡高大,高边坡(坡高>20m)则与之相反。

There are different impacts on the stability of highway slope,such as the geometric characteristics of the slope,the physical and mechanical parameters of the rock and soil,the seismic peak ground acceleration.Based on the gray relational theory and artificial surveys and drilling means,analyzing sensitivity of slope stability to internal friction angle,cohesion,gravity,slope height,slope rate and peak ground acceleration along a loess slope in Tianshui area.The results show that the internal friction angle and cohesion makes the largest contribution to slope stability,correlation coefficient is 0.8970.995.The height and gravity of slope makes the second contribution to slope stability,correlation coefficient is 0.5040.528.The slope earthquake peak acceleration and slope rate makes the minimum contribution,correlation coefficient is 0.4910.506.The stability of general slope(slope height less than 20 m)is more sensitive to cohesion and gravity than internal friction angle and slope height.However,the internal friction angle and slope height makes greater contribution to the high slope(slope height more than 20 m)than cohesion and gravity.