耦合π定理与数值模拟的采空区冒落范围预测  

Prediction of the goaf caving range using the π theorem coupled with numerical simulation

作　　者：张晶 任凤玉[2] 刘洋[3,4] 何荣兴 乔木[1] ZHANG Jing;REN Fengyu;LIU Yang;HE Rongxing;QIAO Mu(Faculty of Land Resource Engineering,Kunming University of Science and Technology,Kunming,Yunnan 650093,China;College of Resources and Civil Engineering,Northeastern University,Shenyang,Liaoning 110819,China;College of Resources and Environmental Engineering,Wuhan University of Science and Technology,Wuhan,Hubei4430081,China;Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources,Wuhan,Hubei 430081,China)

机构地区：[1]昆明理工大学国土资源工程学院,云南昆明650093 [2]东北大学资源与土木工程学院,辽宁沈阳110819 [3]武汉科技大学资源与环境工程学院,湖北武汉430081 [4]冶金矿产资源高效利用与造块湖北省重点实验室,湖北武汉430081

出　　处：《采矿与安全工程学报》2025年第2期264-272,共9页Journal of Mining & Safety Engineering

基　　金：国家自然科学基金项目(52274113);冶金矿产资源高效利用与造块湖北省重点实验室开放基金项目(2022zy002)。

摘　　要：考虑图表法可为特定工程问题提供便捷的查询方法,借助π定理构建表征采空区冒落活动的非线性模糊函数,耦合数值模拟UDEC揭示该非线性模糊函数所含无量纲表达式的数量关系,提出可预测采空区冒落范围的无量纲图表。为大量获取图表数据,设定采空区开挖步距为2 m。结果表明:无量纲图表可根据不同阶段空区边界扩展预测空区冒落范围,且无量纲曲线表征的采空区冒落范围随空区跨度增大的变化特征与实际基本相符。结合线性插值方法,可预测无量纲图表中未涉及工况的采空区冒落范围。实践表明,该方法为量化评估采空区冒落范围提供了有效方法。Considering that the chart method can support convenient queries for the specific engineering problems,a nonlinear fuzzy function representing the goaf caving activity was constructed with the aid of π the theorem.By coupling the function with the UDEC numerical simulation,the quantitative relationship of dimensionless expressions contained in the nonlinear fuzzy function was revealed,and a dimensionless chart for predicting the goaf caving range was proposed.To obtain the vast data of the dimensionless chart,the numerical simulation took 2 m as the excavation step.The results indicate that the dimensionless chart can predict the goaf caving range according to the extension of the goaf boundary at different stages,and the variation characteristics of goaf caving range with the increase of goaf span reflected by the dimensionless curve are basically consistent with the actual situation.In addition,the goaf caving range under the working conditions that are not involved in the dimensionless charts can be predicted by the linear interpolation method.The practice shows that the proposed method is effective in quantitatively evaluating the goaf caving range.

关 键 词：π定理 数值模拟 图表法 采空区 冒落范围 

分 类 号：TD327[矿业工程—矿井建设]