基于博弈论-未确知测度理论的围岩稳定性评价  

Evaluation of Stability of Surrounding Rock Based on Unascertained Measurement Theory with Game Theory

作　　者：彭意飞 张义平[1,2] 黄薇 侯天亮 蒋云莱 PENG Yifei;ZHANG Yiping;HUANG Wei;HOU Tianliang;JIANG Yunlai(Mining College,Guizhou University,Guiyang,Guizhou 550025,China;Guizhou Yihe Technology Co.,Ltd,Guiyang,Guizhou 550025,China)

机构地区：[1]贵州大学矿业学院,贵州贵阳550025 [2]贵州一和科技有限公司,贵州贵阳550025

出　　处：《公路工程》2022年第6期102-107,共6页Highway Engineering

基　　金：国家自然科学基金项目(52064004);蒙库铁矿巷道快速掘进爆破参数优化研究(K19-0111-002)。

摘　　要：针对围岩稳定性评价中存在影响因素众多和不确定性的特点,建立了基于博弈论-未确知测度理论的围岩稳定性评价模型,该模型首先利用博弈论对G1法和变异系数法计算出的主观、客观权重进行优化组合,基于未确知数学理论构建评价指标未确知测度函数,进而确定多指标未确知测度,以置信度准则为依据判别出样本岩体稳定性所属级别。利用工程实例对模型进行验证,将评价结果与模糊可变集合、可拓方法、联系云的可拓模型、物元分析云模型的评价结果进行对比,结果表明:博弈论-未确知测度理论评价模型操作简便,评价结果客观、准确,具有较高的实用价值。According to the characteristics of many influencing factors and uncertainties in the evaluation of surrounding rock stability,an evaluation model of surrounding rock stability based on game theory-unascertained measure theory is established.Firstly,the subjective and objective weights calculated by G1 method and coefficient of variation method are optimally combined by using game theory combination weighting,and the unascertained measure function of evaluation index is constructed based on unascertained mathematical theory,and then the unascertained measure of multiple indexes is determined.Then,the stability level of sample rock mass is judged based on confidence criterion.Comparing the evaluation results of this paper with the connection cloud and matter-element analysis method,the results show that the game theory-unascertained measure theory model is feasible to evaluate the stability grade of surrounding rock,which provides a reference for similar evaluation.

关 键 词：围岩稳定性 博弈论 未确知测度理论 评价 

分 类 号：TU457[建筑科学—岩土工程]