采矿与安全工程学报2025，Vol.42Issue(2)：264-272,9.DOI:10.13545／j.cnki.jmse.2023.0055
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
摘要
Abstract
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 the π theorem.By coupling the function with the UDEC numerical simulation,the quantitative rela-tionship of dimensionless expressions contained in the nonlinear fuzzy function was revealed,and a di-mensionless chart for predicting the goaf caving range was proposed.To obtain the vast data of the di-mensionless 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 re-flected 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 pre-dicted 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Key words
π theorem/numerical simulation/chart method/goaf/caving range分类
矿山工程引用本文复制引用
张晶,任凤玉,刘洋,何荣兴,乔木..耦合π定理与数值模拟的采空区冒落范围预测[J].采矿与安全工程学报,2025,42(2):264-272,9.基金项目
国家自然科学基金项目(52274113) （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) （2022zy002）
