基于模糊数学和极限平衡法的滑坡稳定性评价

滑坡的稳定性评价中存在着模糊性,如力学参数的模糊性、影响因素的模糊性以及评价标准的模糊性等,这就需要运用不确定分析方法中的模糊数学方法来分析评价滑坡的稳定性。但模糊数学方法确定的隶属函数及权重分配具有主观性,是定性评价,而极限平衡法是通过建立稳定性系数表达式进行定量评价。将两种方法结合起来,既可通过模糊综合评判方法的定性评价体现出滑坡稳定性中的模糊性,又可通过极限平衡方法的定量评价反映滑坡稳定状态的本质。研究表明,两种方法得到的结果与工程实际相符合,并且互为补充使评价结果更加合理。

Evaluation of landslide stability based on fuzzy mathematics and limit equilibrium method

The fuzziness of landslide stability evaluation, such as the fuzziness of mechanical parameters, influential factors and evaluation criteria, etc. , requires the use of uncertainty analysis method, or more specifically, fuzzy mathematics to evaluate landslide stability. As the identification of membership function and weight distribution obtained by mathematics fuzziness method has a qualitative characteristic, which may affect the objectivity of the evaluation result, however the limit equilibrium method as a quantitative method through the establishment of the expression of stability factors is combined with the former method. Fuzzy comprehensive evaluation method is used to reveal the fuzziness of landslide stability, while limit equilibrium method is used to reveal the nature of the stable state of the landslide. The results show that the application of these two methods is in line with the engineering practice, and their combination and complementary effect can bring about more reasonable evaluation results.