基于博弈-优化雷达图模型的岩爆等级评价  

Rockburst grade evaluation based on game-optimized radar chart model

作　　者：龙晶晶 赵丽军 张千俊 张雄伟[3] Long Jingjing;Zhao Lijun;Zhang Qianjun;Zhang Xiongwei(Changba Lead-Zinc Mine,Gansu Changba Nonferrous Metals Co.,Ltd.;Deyang Haohua Qingping Phosphate Mine Co.,Ltd.;Kunming Engineering&Research Institute of Nonferrous Metallurgy Co.,Ltd.)

机构地区：[1]甘肃厂坝有色金属有限责任公司厂坝铅锌矿 [2]德阳昊华清平磷矿有限公司 [3]昆明有色冶金设计研究院股份公司

出　　处：《黄金》2025年第4期19-24,共6页Gold

基　　金：四川省自然科学基金项目(2022NSFSC1147)。

摘　　要：岩爆作为开挖地下岩土工程主要难题之一,岩爆等级评价已成为该领域重要的研究方向。为了准确评价地下开挖工程的岩爆等级,提出了一种基于博弈-优化雷达图的岩爆等级评价模型。选取岩石脆性系数σ_(c)/σ_(t)、应力系数σ_(θ)/σ_(c)、弹性变形能指数Wet、岩体完整性系数Kv和埋深h,构建了岩爆等级的评价体系。选取岩爆不同评价指标等级划分标准,利用改进层次分析法和CRITIC法分别计算主、客观权重,根据博弈论理论确定组合权重。结合雷达图原理,优化雷达图,建立不同岩爆等级的雷达图特征向量评估函数范围,再根据待评价样本的雷达图特征向量评估函数大小对其岩爆等级进行评价。为了验证该评价模型的有效性和可靠性,利用该模型对东山铜矿开采过程中的岩爆实例进行分析。研究结果显示:基于博弈-优化雷达图的岩爆等级评价结果与实际岩爆等级相吻合,证明该岩爆等级评价模型有良好的实用性。Rockburst,a critical challenge in underground geotechnical engineering,has made rockburst grade evaluation a pivotal research focus.To accurately assess rockburst grades in underground excavation projects,this study proposes a rockburst grade evaluation system based on a game-optimized radar chart.First,an evaluation system for rockburst was established using rock brittleness coefficient σ_(c)/σ_(t),stress coefficient σ_(θ)/σ_(c),elastic strain energy index Wet,rock mass integrity coefficient Kv,and burial depth h.Grade classification standards for these indicators were defined.Subjective and objective weights were calculated using an improved analytic hierarchy process and the CRITIC method,respectively,with combined weights determined via game theory.By integrating radar chart principles and optimized radar chart,a characteristic vector evaluation function range for different rockburst grades was developed.The rockburst grade of a sample was then evaluated based on the magnitude of its radar chart characteristic vector evaluation function.To validate the model’s effectiveness and reliability,it was applied to analyze rockburst cases during mining operations at the Dongshan Copper Mine.Results demonstrate that the evaluation outcomes based on game-optimized radar chart align with actual rockburst grades,confirming the rockburst grade evaluation model’s practicality.

关 键 词：深井开采 岩爆 等级评价 层次分析法 博弈论赋权 雷达图 

分 类 号：TD235[矿业工程—矿井建设]