摘要
岩爆是地下金属矿山和深埋地下工程中的地质灾害之一,其发生是一个多因素协同作用的结果。针对岩爆预测往往具有模糊性、随机性以及指标等级呈有限区间分布等问题,选取单轴抗压强度与抗拉强度比σc/σt、切向应力与单轴抗压强度比σ/σc、弹性变形能指数Wet和岩石完整性系数Ks构建评价指标体系;通过博弈论确定组合权重,计算有限云模型数字特征组生成云图,实现岩爆烈度等级与指标之间的不确定性与随机性映射;计算岩爆烈度的等级综合确定度,并根据最大隶属度原则确定岩爆等级;引入模糊熵E作为岩爆预测的二维评判系统,反映岩爆预测结果的复杂程度。研究结果表明:该模型应用于岩爆预测是切实可行的,可直观、快速反映岩爆烈度等级,从而可为岩爆预测和类似的工程问题提供一种新的解决途径。
Rockburst is one of the unavoidable geological disasters in underground metal mines and deep underground projects.Its occurrence is the result of a synergistic effect of multi-factor.In view of the fact that rockburst prediction often had ambiguity,randomness and finite interval distribution of index grades,an evaluation index system was built by selecting theratio of uniaxial compressive strength and tensile strengthσc/σt,the ratioof tangential stress and rock uniaxial compressive strengthσθ/σc,elastic deformation energy index Wet and rock integrity coefficient Ks as evaluationindexes.The combined weight was determined by game theory,and the cloud chart was generated by calculating the digital characteristic group of the finite cloud model to realize the uncertainty and randomness mapping between the rockburst intensity and the indexes.Then,the comprehensive determination of the rock burst intensity was calculated,and the rock burst grade was determined according to the principle of the maximum membership degree.The fuzzy entropy E was introduced as the two-dimensional evaluation system for rock burst prediction,reflecting the complexity of the rock burst prediction results.The results showed that the model was feasible and can reflect the intensity grade of rock burst directly and quickly.Therefore,the study can provide a new solution for rock burst prediction and similar engineering problems.
作者
周东良
邓红卫
秦秀合
张维友
王兴生
虞松涛
ZHOUDonglaing;DENG Hongwei;QIN Xiuhe;ZHANG Weiyou;WANG Xingsheng;YU Songtao(Zhaojin Mining Industry Co.,Ltd,Zhaoyuan,Shandong 265406,China;School of Resource and Safe Engineering,Central South University,Changsha,Hunan 410083,China)
出处
《矿业研究与开发》
CAS
北大核心
2019年第12期87-93,共7页
Mining Research and Development
关键词
岩爆预测
有限区间云模型
组合赋权
博弈论
模糊熵
Rockburst prediction
Finite cloud model
Combined weighting
Game theory
Fuzzy entropy
