基于距离与灰色关联分析原理的边坡稳定性

Slope stability based on grey relational analysis and distance analysis

针对影响边坡稳定的因素是多方面的,不同边坡的主导影响因素也不尽相同。边坡稳定性研究结果的可靠性,关键在于所考虑的各种影响因素是否恰当和准确,特别是一些主要的影响因素必须予以充分反映。应用灰色关联分析(GRA)是一种多因素统计分析方法,它是以各因素的样本数据为依据,用灰色关联度来描述因素间关系的强弱,其核心是计算关联度。原有的关联度计算公式对各样本采用平权处理,客观性较差,不符合某些更为重要的样本的实际情况。用距离分析法改进的灰色关联分析方法确定边坡稳定性,可以弥补传统确定稳定性方法的不足,且方法简便、实用和可靠,值得推广。

In view of the fact that the impact of slope stability involes many factors and leading factors are different, the reliability of slope stability results lie in each kind factor which is considered to be whether appropriate, specially some main factors must given full reflection. The grey relational analysis is a multivariate statistical method.It is basesd on the sample data of each factor.Using correlation degree to describe relation between factors whether to be strong or weak.Calculating correlation degree is the core of GRA. The objectivity of the original correlation degree formula is worse when it processes various samples using equal rights, which does not conform to actual situation of some more important samples. GRA improved by the distance analysis may make up for the insufficiency of the traditional method when determining slope stability, which is simple, practical, reliable and worth being popularized.