基于层次分析的可拓学理论围岩大变形预测方法及应用

摘要

围岩大变形是地下工程建设中地质灾害的一种,为探讨准确而快速地预测围岩大变形,文章将层次分析法和可拓学理论方法与围岩大变形预测相结合,建立了基于层次分析的可拓学理论围岩大变形预测方法.该方法是在物元理论、可拓集合论和关联函数运算的基础上,通过选取能够反映和体现围岩大变形的几项重要参数指标(本文选取岩石单轴抗压强度、主应力值、强度应力比、弹性模量四项指标),建立围岩大变形预测的物元模型,结合层次分析法来确定各因素的权重值,通过实际围岩大变形等级的关联度计算,最终确定围岩大变形等级:并与模糊层次分析法取得的围岩大变形结果进行对比分析.该方法能够运用一定的基础数据对围岩大变形作出预判,对工程建设可起到一定的指导作用.%Large deformation of surrounding rocks is one of the geological hazards in underground construction. To forecast the deformation of surrounding rocks accurately and efficiently, a rock deformation forecasting method is utilized by applying extension theory based on an analytic hierarchical process, in which the element model is set up by choosing important parameters (such as the uniaxial compressive strength Re, principal geostresses, ratio of strength and stress, elastic modulus) on the basis of element theory, extension set, and correlation function calculation. Weight values of various factors are then determined and combined with the analytic hierarchical process. The deformation of the surrounding rocks is confirmed by a correlation calculation of the deformation of the surrounding rocks and a comparative analysis is carried out regarding the deformation results obtained by a fuzzy analytic hierarchical process.