CAJ | 학술논문

　　煤层开采后采空区四周形成不同程度的支承压力带，其中应力卸载与集中会向底板深部传递，进而影响到底板的破坏深度与范围。本文建立了综合考虑工作面走向与倾向受力特点的空间半无限体模型，推导出了底板垂直应力的迭代计算式，并采用数学软件 MATHCAD 计算出了不同深度处底板的应力分布情况，结果表明：底板各岩层垂直应力等值线呈椭圆形，浅部岩层等值线梯度较大，深部岩层等值线梯度较小。基于应力理论分析结果及Mohr-Coulomb准则计算出某矿底板最大破坏深度14.8 m，现场微震监测结果显示底板最大破坏深度15.2 m，两者相吻合。本文的研究成果可为围岩控制及承压水上安全采煤研究提供理论依据。
　　매층개채후채공구사주형성불동정도적지승압력대，기중응력사재여집중회향저판심부전체，진이영향도저판적파배심도여범위。본문건립료종합고필공작면주향여경향수력특점적공간반무한체모형，추도출료저판수직응력적질대계산식，병채용수학연건 MATHCAD 계산출료불동심도처저판적응력분포정황，결과표명：저판각암층수직응력등치선정타원형，천부암층등치선제도교대，심부암층등치선제도교소。기우응력이론분석결과급Mohr-Coulomb준칙계산출모광저판최대파배심도14.8 m，현장미진감측결과현시저판최대파배심도15.2 m，량자상문합。본문적연구성과가위위암공제급승압수상안전채매연구제공이론의거。
After coal seam mining, different abutment pressure zones are formed around goaf area, and the stress unloading and concentration can be passed to the deeper floors, then the destroy depth and scope of floors are also affected. In this paper, the half-infinite body model was established which com-prehensively considered the stress characteristics in the strike and inclined directions of the working face, and the iterative formula of vertical stress in floors was calculated. Meanwhile, the stress distribu-tions in floors with different depths were calculated by Software-MATHCAD. The results show that the stress contours in different floor strata present oval shapes, and the contour gradient in shallow strata is larger than that in deeper strata. Based on the stress analysis results and Mohr-Coulomb criteria, the maximum damaged depth in floor of one mine was calculated to 14.8 m, while the largest damaged depth of floor by field seismic monitoring was 15.2 m, which are identical with each other. The results in this paper can provide theory basis for surrounding rock controlling and safety mining above con-fined water.