基于博弈-灰靶模型的岩爆烈度等级评价  

Evaluation of Rock Burst Intensity Grade Based on Game-Grey Target Model

作　　者：张千俊 刘传举 刘泉[3] 罗浩铭 王文通 ZHANG Qianjun;LIU Chuanju;LIU Quan;LUO Haoming;WANG Wentong(School of Environment and Resource,Southwest University of Science and Technology,Mianyang,Sichuan 621010,China;Mianyang Haichuan Blasting Engineering Co.,Ltd.,Mianyang,Sichuan 621010,China;Sichuan Metallurgical Design and Research Institute,Chengdu,Sichuan 610095,China)

机构地区：[1]西南科技大学环境与资源学院,四川绵阳市621010 [2]绵阳市海川爆破工程有限公司,四川绵阳市621010 [3]四川省冶金设计研究院,四川成都610095

出　　处：《矿业研究与开发》2023年第1期55-60,共6页Mining Research and Development

基　　金：国家自然科学基金项目(52204156,42171108);四川省自然科学基金项目(2022NSFSC1147);西南科技大学博士研究基金项目(18zx715)。

摘　　要：岩爆一直是深部高应力地下工程面临的一大难题,为了有效预测和评价地下岩体工程的岩爆灾害,建立了基于博弈论组合赋权-灰靶决策的岩爆烈度等级评价模型。首先,选取岩石单轴抗压强度与抗拉强度的比值σ_(c)/σ_(t)、切向应力与单轴抗压强度的比值σ_(θ)/σ_(c)、弹性变形能指数W_(et)和完整性系数K_(v)等定量化指标建立评价指标体系,运用Critic法、变异系数法和熵权法分别计算出各个指标的权重,再根据博弈理论对权重进行优化,进而确定博弈论组合赋权;然后,结合灰靶决策理论,建立不同岩爆烈度等级的综合靶心距分布集;最后,通过综合靶心距的大小对岩爆烈度等级进行判定。为验证所建模型的准确性和合理性,以终南山公路隧道工程为例,根据实测数据对该评价模型进行实例分析。研究结果表明:基于博弈-灰靶模型的岩爆评价结果与实际岩爆情况基本一致,说明该岩爆烈度等级评价模型有较好的精准性和可靠性。Rock burst has always been a difficult problem faced by deep high stress underground engineering.In order to effectively predict and evaluate the rock burst disaster of underground rock mass engineering,an evaluation model of rock burst intensity grade based on game theory combined weighting and grey target decision-making was established.Firstly,the quantitative indexes such as the ratio of uniaxial compressive strength to tensile strengthσ_(c)/σ_(t),the ratio of tangential stress to uniaxial compressive strength σ_(θ)/σ_(c),the elastic deformation energy index W_(et) and the integrity coefficient Kvwere selected to establish the evaluation index system.By applying Critic method,coefficient of variation method and entropy weight method,the weight of each indicator was calculated.Then,the weight according to the game theory was optimized,and then the combination weighting of the game theory was determined.Combined with the grey target decision theory,the comprehensive target distance distribution set of different rock burst intensity levels was founded.Finally,the rock burst intensity grade was judged by integrating the size of bull’s-eye distance.In order to verify the accuracy and rationality of the model,the rock burst of Zhongnanshan highway tunnel project was taken as an example and the evaluation model was analyzed according to the measured data.The upshot of this example shows that the rock burst evaluation results based on the game-gray target model are basically consistent with the actual state,and the rock burst intensity evaluation model has a good accuracy and reliability.

关 键 词：岩爆 等级评价 组合赋权 灰靶模型 

分 类 号：TU45[建筑科学—岩土工程] X936[建筑科学—土工工程]