基于范数灰色理论的滑坡稳定性敏感因子分析

灰色关联分析模型可用于滑坡稳定性敏感因子的定量分析。将范数灰色理论引入到滑坡稳定性敏感因子分析之中，确定了影响滑坡稳定性系数的因素权重，较为直观地反映了各影响因子对滑坡稳定性的影响程度。以重庆市綦江县土台镇滑坡为例，进行滑坡稳定性敏感因子的范数灰关联度计算。结果显示，滑动面岩土体强度参数是影响土台镇滑坡稳定性最重要的因素，地震作用和地下水位的变化对该滑体稳定性的影响要稍弱一些。

Sensitive factor analysis of landslide stability based on norm gray relational grade

Gray correlation model can be applied to the sensitive factor analysis of landslide stability; but the traditional approach for computing gray relational grade, which is based on average values, may obliterate information of the specific characteristics of gray coefficients, and possibly make miscalculation of the order relationship with whole approximation. The norm gray relational grade has a better approximation than the traditional approach; and it can express the specific characteristics of gray correlation coefficients. The norm gray relational grade is used to analyze sensitive factors that control the stability of the landslide; and the weight coefficients of each sensitive factor can be calculated. A case study of Tutaizhen landslide in Chongqing Municipality indicate that the shear strength parameters of the sliding surface are the key factors influencing the stability; and the actions of the earthquake and the groundwater are nonessential to the stability of Tutaizhen landslide.