变权欧氏距离模型在边坡稳定性评价中的应用

Application of Euclidean Distance Model with Varying Weights to Slope Stability Estimation

针对目前常用的综合评价模型只能确定边坡稳定性所在等级,不能评价边坡属于所在稳定性等级的程度,在加权欧氏距离模型的基础上进行改进。采用引入均衡函数的激励型变权公式,以n个评价指标为坐标轴,以边坡稳定性等级中的1级下限值为n维空间的原点,结合权重计算出每个待评价边坡,以及边坡稳定性等级中各等级上限值与原点的变权欧氏距离,并将后者作为划分边坡稳定性评价的标准,建立适合边坡稳定性综合评价的变权欧氏距离模型。用该模型对工程实例进行了综合评价,并与灰色关联分析和可拓方法的评价结果进行比较,验证了变权欧氏距离模型应用于边坡稳定性评价的科学性和合理性。

At present,most of the frequently-used comprehensive evaluation model for slope stability could only determine the stability level of slope,but cannot evaluate the degree that slope belongs to the stability level.On the basis of Euclidean distance model with weights,we improved the calculation of the weights by using variable weight formula of incentive type with balance functions.The n evaluation index was taken as the coordinate axes,and the lower limiting value of level I of slope stability was taken as the coordinate origin of the n-dimension space.The Euclidean distances with varying weights respectively between slopes and coordinate origin and between upper limiting values of slope stability levels and coordinate origin were calculated.The latter served as a distance level evaluation criteria.The Euclidean distance model with varying weights for the estimation of slope stability was thus established.This model was applied to the comprehensive assessment of slope stability,and was compared with grey analysis and extenics theory.The results indicate that the Euclidean distance model with varying weights is scientific,rational,and has potential in the comprehensive assessment of slope stability.