(1. Key Laboratory of In-Situ Property-Improving Mining of Ministry of Education，Taiyuan University of Technology，Taiyuan，Shanxi 030024，China；2. State Key Laboratory of Coal Mine Disaster Dynamics and Control，Chongqing University，
Chongqing 400044，China；3. School of Resources and Safety Engineering，Chongqing University，Chongqing 400044，
China；4. China Coal Research Institute，Beijing 100013，China；5. College of Safety and Emergency Management Engineering，Taiyuan University of Technology，Taiyuan，Shanxi 030024，China)
Abstract：To explore the permeability distribution of overlying strata based on the mining-induced stress relief boundary model in inclined coal seams. With surface subsidence and the stress distribution characteristics of coal walls of the goaf as the medium，based on the correspondence between surface subsidence and overlying strata，then combined with the definition of stress relief boundary，the distribution characteristics of overlying strata relief boundary at different dip angles were determined by theoretical derivation. In addition，the permeability spatial distribution law is obtained through 3DEC numerical simulation and Python secondary development. The results show that with the increase of the coal seam dip angle from 0°to 30°，the stress difference between two sides of the coal walls increases from 0 MPa to 13.1 MPa，and the stress relief region increases from the original 38.4 m to 54.5 m in higher side of the goaf. The stress concentration position shifted by 0.4 m in lower side of the goaf，thus，the stress relief boundary of lower side expanded. While the stress recovery position moved to the low side by 28.3 m in the central goaf，thus，stress relief boundary of goaf moved downward，and the maximum permeability increased from 90 mD to 270 mD in overlying strata. The stress relief boundary model can describe the stress relief degree and the corresponding spatial distribution of permeability well in overlying strata，which provides a reference for the accurate dominant gas drainage area identification.
张碧川1，邹全乐2，3，冯增朝1，朱南南4，冉启灿2，3，陈子涵2，3，刘佳奇1，蔡婷婷5，杨雪林5. 基于倾斜煤层采动覆岩卸压边界模型的渗透率空间分布规律[J]. 岩石力学与工程学报, 2025, 44(3): 638-650.
ZHANG Bichuan1，ZOU Quanle2，3，FENG Zengchao1，ZHU Nannan4，RAN Qican2，3，CHEN Zihan2，3，LIU Jiaqi1，CAI Tingting5，YANG Xuelin5. Spatial distribution law of permeability based on the mining-induced stress relief boundary model of inclined coal seam in overlying strata. , 2025, 44(3): 638-650.
[1] 李树刚，杨二豪，林海飞，等. 深部开采卸压瓦斯精准抽采体系构建及实践[J]. 煤炭科学技术，2021，49(5)：1–10.(LI Shugang，YANG Erhao，LIN Haifei，et al. Construction and practice of accurate gas drainage system for pressure relief gas in deep mining[J]. Coal Science and Technology，2021，49(5)：1–10.(in Chinese))
[2] 冉启灿，梁运培，邹全乐，等. 倾斜煤层群覆岩“三场”非对称特征及靶向抽采机制[J]. 煤炭科学技术，2024，52(4)：177–192.(RAN Qican，LIANG Yunpei，ZOU Quanle，et al. Asymmetric characteristics of “three-field” in overburden of inclined coal seam groups and target extraction mechanism[J]. Coal Science and Technology，2024，52(4)：177–192.(in Chinese))
[3] GUO H，YUAN L，SHEN B T，et al. Mining-induced strata stress changes，fractures and gas flow dynamics in multi-seam longwall mining[J]. International Journal of Rock Mechanics and Mining Sciences，2012，54(9)：129–139.
[4] CHAI Y J，DOU L M，WU C，et al. Experimental investigation into damage and failure process of coal-rock composite structures with different roof lithologies under mining-induced stress loading[J]. International Journal of Rock Mechanics and Mining Sciences，2023，170(10)：105479.
[5] 左建平，吴根水，孙运江，等. 岩层移动内外“类双曲线”整体模型研究[J]. 煤炭学报，2021，46(2)：333–343.(ZUO Jianping，WU Genshui，SUN Yunjiang，et al. Investigation on the inner and outer analogous hyperbola model(AHM) of strata movement[J]. Journal of China Coal Society，2021，46(2)：333–343.(in Chinese))
[6] 郭文兵，赵高博，白二虎. 煤矿高强度长壁开采覆岩破坏充分采动及其判据[J]. 煤炭学报，2020，45(11)：3 657–3 666.(GUO Wenbing，ZHAO Gaobo，BAI Erhu. Critical failure of overlying rock strata and its criteria induced by high-intensity longwall mining[J]. Journal of China Coal Society，2020，45(11)：3 657–3 666.(in Chinese))
[7] 余伊河，马立强，张东升，等. 长壁工作面采动覆岩层理开裂机制及侧向裂隙发育规律[J]. 煤炭学报，2023，48(增2)：527–541.(YU Yihe，MA Liqiang，ZHANG Dongsheng，et al. Mechanism of bedding cracking and development laws of lateral fracture in overlying strata induced by longwall mining[J]. Journal of China Coal Society，2023，48(Supp.2)：527–541.(in Chinese))
[8] 刘 奇，笪雨欣，曹广勇，等. 裂隙发育过程对采动裂隙椭抛带压实区的影响研究[J]. 煤炭科学技术，2023，52(5)：25–35.(LIU Qi，DA Yuxin，CAO Guangyong，et al. Study on the influence of fracture development process on the compaction area of overlying strata in working face[J]. Coal Science and Technology，2023，52(5)：25–35.(in Chinese))
[9] MONDAL D，ROY P，KUMAR M. Monitoring the strata behavior in the destressed zone of a shallow Indian longwall panel with hard sandstone cover using mine-microseismicity and borehole televiewer data[J]. Engineering Geology，2020，271(6)：105593.
[10] 徐 超，王 凯，郭 琳，等. 采动覆岩裂隙与渗流分形演化规律及工程应用[J]. 岩石力学与工程学报，2022，41(12)：2 389–2 403. (XU Chao，WANG Kai，GUO Lin，et al. Fractal evolution law of overlying rock fracture and seepage caused by mining and its engineering application[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(12)：2 389–2 403.(in Chinese))
[11] 张 礼，齐庆新，张 勇，等. 采动覆岩裂隙场三维形态特征及其渗透特性研究[J]. 采矿与安全工程学报，2021，38(4)：695–705. (ZHANG Li，QI Qingxin，ZHANG Yong，et al. Study on three-dimensional shape and permeability of mining-induced fractured field in overburden rock[J]. Journal of Mining and Safety Engineering，2021，38(4)：695–705.(in Chinese))
[12] 陈荣华，白海波，冯梅梅. 综放面覆岩导水裂隙带高度的确定[J]. 采矿与安全工程学报，2006，23(2)：220–223.(CHEN Ronghua，BAI Haibo，FENG Meimei. Determination of the height of water flowing fractured zone in overburden strata above fully-mechanized top-coal caving face[J]. Journal of Mining and Safety Engineering，2006，23(2)：220–223.(in Chinese))
[13] PENG S. Surface subsidence engineering：theory and practice[M]. Balkema：Csiro Publishing，2020：133–136.
[14] 李 亮，何富连，许旭辉，等. 近距离煤层应力拱形态与支承压力分布演化研究[J]. 采矿与安全工程学报，2023，40(2)：295–303.(LI Liang，HE Fulian，XU Xuhui，et al. Study on the evolution of stress arch shape and abutment pressure distribution in close distance coal seams[J]. Journal of Mining and Safety Engineering，2023，40(2)：295–303.(in Chinese))
[15] 韩红凯. 关键层对支承压力分布影响规律的理论研究[博士学位论文][D]. 徐州：中国矿业大学，2019.(HAN Hongkai. Theoretical study on the influence of key strata on abutment pressure distribution[Ph. D. Thesis][D]. Xuzhou：China University of Mining and Technology，2019.(in Chinese))
[16] 刘正和，赵阳升，弓培林，等. 回采巷道顶板大深度切缝后煤柱应力分布特征[J]. 煤炭学报，2011，36(1)：18–23.(LIU Zhenghe，ZHAO Yangsheng，GONG Peilin，et al. Distribution characteristics of coal pillar stress after the roadway roof being large depth cutting seam[J]. Journal of China Coal Society，2011，36(1)：18–23.(in Chinese))
[17] TUNCAY D，TULU I，KLEMETTI T. Re-analysis of Abutment angle method for moderate and deep cover retreat room and pillar mines and investigation of loading mechanics using finite volume modeling[J]. Rock Mechanics and Rock Engineering，2021，54(7)：3 447–3 468.
[18] WILSON A. The stability of underground workings in the soft rocks of the coal measures[J]. International Journal of Mining Engineering，1983，1(2)：91–187.
[19] 谢广祥. 采高对工作面及围岩应力壳的力学特征影响[J]. 煤炭学报，2006，31(1)：6–10.(XIE Guangxiang. Influence of mining thickness on mechanical characteristics of working face and surrouding rock stress shell[J]. Journal of China Coal Society，2006，31(1)：6–10.(in Chinese))
[20] LIU A，LIU S M，WANG G，et al. Continuous compaction and permeability evolution in longwall gob materials[J]. Rock Mechanics and Rock Engineering，2020，53(12)：5 489–5 510.
2025, Vol. 44 
