大断面六角形进路围岩应力解析与数值验证  

Analytical solution and numerical verification of surrounding rock stress in large-section hexagonal route

作　　者：吴浩 马丹 左宇军[3] 赵国彦[4] WU Hao;MA Dan;ZUO Yujun;ZHAO Guoyan(School of Mines,China University of Mining and Technology,Xuzhou,Jiangsuu221116,China;Yunnan Phosphate Chemical Group Co Ltd,Kunming,Yunnan650600,China;MiningCollege,GuizhouUniversity,Guiyang,Guizhou550025,China;School of Resources and Safety Engineering,Central South University,Changsha,Hunan 410083,China)

机构地区：[1]中国矿业大学矿业工程学院,江苏徐州221116 [2]云南磷化集团有限公司,云南昆明650600 [3]贵州大学矿业学院,贵州贵阳550025 [4]中南大学资源与安全工程学院,湖南长沙410083

出　　处：《采矿与安全工程学报》2022年第5期951-960,共10页Journal of Mining & Safety Engineering

基　　金：江苏省自然科学基金项目(BK20210515);中国矿业大学青年科技基金项目(2021QN1010);中国矿业大学大型仪器设备开放共享基金项目(DYGX-2021-082)。

摘　　要：为研究龙首矿大断面六角形进路采场围岩的应力分布特征,通过保角变换方法将六角形进路围岩映射到像平面单位圆外域,采用改进的复变函数理论对进路围岩应力进行解析,并与数值结果进行对比。研究结果表明,提出的多面体收缩逼近算法能够准确求解复杂形状孔洞的映射函数,大断面六角形进路映射函数项数取6时具有较高的精度。当侧压系数λ<0.39时,顶底板出现拉应力集中,两侧壁产生压应力集中。随着λ的增大,顶底板拉应力逐渐减小并变为压应力,两侧壁应力情况则相反。进路围岩中切向应力随着距进路边界距离的增大逐渐减小,随着侧压系数的增大而增大;当距进路边界的距离渐增时,进路顶底板中的径向应力值逐渐接近施加的竖向应力,进路两帮中的径向应力值逐渐接近施加的水平应力。另外,进路周边22个监测点应力的数值模拟结果充分证实了解析解的可靠性,大断面六角形进路同比小断面进路在深部开采中具有较高的稳定性。研究结果可为采场结构参数优化及进路支护设计提供参考。To study the stress distribution characteristics of the surrounding rock of large-section hexagonal routes in Longshou mine,the surrounding rock was mapped to the outer domain of the unit circle of the image plane through conformal transformation.The improved complex function theory was used to analyze the surrounding stress,and then the numerical modelling was performed to verify the reliability of the analytical results.The results show that the proposed shrinkage approximation algorithm for solving the mapping function of the route is effective,and the mapping accuracy is satisfactory when the term number of the mapping function is six.When the lateral pressure coefficientλ<0.39,tensile stress concentration occurs on the roof and floor,and compressive stress concentration occurs on the two sidewalls.With the increase ofλ,the tensile stresses of the top and bottom gradually decrease and even change to be compressive stresses,while the situation on the two sidewalls is opposite.The tangential stress in the surrounding rock of the route gradually decreases with the increase of the distance from the route boundary,and grows with the increase of the lateral pressure coefficient.When the distance from the route boundary increases,the radial stress gradually approaches the applied vertical stress,while that on the two sides reaches the exerted horizontal stress.Additionally,the numerical results of 22 monitoring points around the route fully confirm the reliability of the analytical solution.The large-section hexagonal route has higher stability in deep mining than the small-section route.The results can provide references for the optimization of stope structure parameters and support design.

关 键 词：大断面 六角形进路 应力解析解 保角变换 复变函数 

分 类 号：TD853[矿业工程—金属矿开采]