支护力作用下双向不等压采场围岩应力和位移解析解  

Analytical Solution of Surrounding Rock Stress and Displacement in Bidirectional Unequal Pressure Stope Under Supporting Stress

作　　者：熊志朋 李元辉[1] 李坤蒙 肖贵轩 XIONG Zhi-peng;LI Yuan-hui;LI Kun-meng;XIAO Gui-xuan(Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines,Northeastern University,Shenyang 110819,China)

机构地区：[1]东北大学深部金属矿山安全开采教育部重点实验室,辽宁沈阳110819

出　　处：《东北大学学报(自然科学版)》2024年第12期1759-1768,共10页Journal of Northeastern University(Natural Science)

基　　金：国家重点研发计划项目(2022YFC2903801,2022YFC2903804);国家青年科学基金资助项目(52004054);国家自然科学基金资助项目(52274115)。

摘　　要：地下倾斜矩形采场的稳定性与顶板应力及位移的分布密切相关,而目前关于矩形开挖围岩应力及位移的解析方法应用于大宽高比倾斜矩形采场时误差较大,且并未考虑采场倾角和支护力的影响.本文基于复变函数理论,提出了大宽高比倾斜矩形采场的映射函数表达式,推导了采场在双向不等压应力和支护力作用下围岩应力和位移解析解,分析了采场倾角、宽高比和支护力对顶板应力和位移分布的影响.结果表明:解析解与FLAC模拟解的偏差小于5%;随着采场倾角的增大,顶板的应力和位移非对称分布趋势加剧,卸压程度和位移量逐渐降低;随着采场宽高比的增大,顶板卸压程度和位移量逐渐增大;采场支护体施加的支护力能够改善采场围岩的应力环境,降低顶板的下沉量.The stability of inclined rectangular stope is closely related to the stress and displacement distribution of stope roof in underground mines.However,the current theoretical method for stress and displacement of surrounding rock in rectangular excavation has a significant error when applied to inclined rectangular stopes with large width-height ratio,and the influence of excavation dip angle and supporting stress is not considered.Based on the complex function theory,this paper puts forward the mapping function expression of inclined rectangular stope with large width-height ratio,and derives the analytical solution of stress and displacement of surrounding rock in stope under bidirectional unequal pressure and supporting stress.Besides,the influence of stope dip angle,width-height ratio and supporting stress on stress and displacement distribution of stope roof is analyzed.The results show that the deviation between analytical solution and FLAC simulation solution is less than 5%.In addition,the asymmetric distribution trend of stress and displacement around stope roof intensifies as the stope dip angle increases,and the degree of pressure relief and vertical displacement gradually decreases.With the increase of stope width-height ratio,the pressure relief degree and the displacement of stope roof gradually increase.The supporting stress exerted by supporting bodies can improve the stress environment of surrounding rock and reduce the roof subsidence.

关 键 词：倾斜矩形采场 宽高比 复变函数理论 应力和位移 支护力 

分 类 号：TD355[矿业工程—矿井建设]