矿压峰值点极限和无煤柱末采技术研究  

Research on limitation of peak points of ground pressure and technology in non-pillar final mining method

作　　者：乔建永[1,2] 王志强[1] 李廷照 QIAO Jianyong;WANG Zhiqiang;LI Tingzhao(School of Energy and Mining,China University of Mining and Technology(Beijing),Beijing 100083,China;Beijing University of Post and Telecommunications,Beijing 100876,China)

机构地区：[1]中国矿业大学(北京)能源与矿业学院,北京100083 [2]北京邮电大学,北京100876

出　　处：《中南大学学报（自然科学版）》2023年第3期880-894,共15页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金资助项目(52074291,51774289)。

摘　　要：按照地下资源“连续开采”的技术思路,提出工作面推进方向的无煤柱末采技术中的关键科学问题。首先,在系统分析实体煤内部应力极限平衡模型的基础上,利用克希荷夫定律,推导弹性区支承应力分布表达式,建立新的复合力学模型;其次,运用复分析几何理论中的共形映照方法,阐述无煤柱连续开采条件下大巷“先加载—后卸载”力学特征,并建立共形数学模型,同时,基于黎曼映照定理和Schwarz-Christoffel定理,推导末采煤柱矿压载荷峰值点极限定理;最后,在大巷超前复合力学模型、共形数学模型的基础上,构建“末采无煤柱贯通巷道补强支护—防漏风—液压支架贯通大巷切顶—支架回撤”的新技术,并对比工作面超前支承压力影响范围和峰值点位置的现场实验测量结果与理论模型计算结果。研究结果表明:实测结果在理论计算结果区间内,证明复合力学模型有效,且采用新技术的末采巷道的现场位移满足无煤柱末采技术的工艺条件,也为无煤柱末采技术现场应用提供更完善的理论依据。According to technical concept of"continuous mining"of underground resources,the key scientific issues in the non-pillar final mining technology in the advancing direction of the working face were put forward.Firstly,based on the systematic analysis of the limit equilibrium model of internal stress in solid coal,the formulas of support stress distribution in elastic zone was further derived by Kirchhoff's Law,and the new composite mechanical model was established.Secondly,using the conformal mapping method in the complex analytic geometry theory,the mechanical characteristics of"loading first and then unloading"of the main roadway was expounded under the condition of continuous mining with no-pillar,and the conformal mathematical model was established.Besides,the limit theorem of the peak point of rock pressure load of final mining pillar was derived based on Riemann mapping theorem and Schwarz-Christofel formula in conformal mapping theory.Finally,on the basis of the advanced composite mechanical model and conformal mathematical model of the main roadway,the new technology of"reinforcement support through the main roadway—prevention of air leakage—roof-cutting support through the main roadway—support retracement"was constructed.The experimental results of the influence range of advance bearing pressure of working face and the position of the peak point were compared with the model predictions.The results show that the in-situ measurement results are consistent with the theoretical results,which proves that the composite mechanical model has validity.At the same time,the process requirements of the non-pillar final mining technology are also met by analyzing the field displacement data of the final mining roadway adopting new techniques,which also provides the theoretical foundation for the field application of the non-pillar final mining technology.

关 键 词：连续开采 煤柱 支承应力 共形映照 黎曼映照定理 

分 类 号：TP028.8[自动化与计算机技术]