不同初始损伤程度下循环加卸围压对岩石劣化及渗流特性的影响研究

doi:10.13722/j.cnki.jrme.2022.1013

摘要
图/表
参考文献
相关文章 (15)

全文: PDF (14281 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要为探究巷道围岩劣化损伤规律，明晰巷道片帮突水机制，基于Rock Top多场耦合试验仪对砂岩开展常规三轴(C组)、不同初始损伤程度下常规卸围压(W组)及循环加卸围压(X组) 3种应力路径下的岩石劣化、渗流特性室内试验。结果表明：(1) X组岩石循环加卸围压初始，岩石轴向变形较侧向及体积变形发展缓慢，但循环加卸围压可导致岩石发生“应变累积”，使得X组岩石应力跌落点较W组出现“滞后”现象；(2) 初始损伤明显影响岩石强度及对围压的敏感性，X，W组岩石初始损伤程度均与统一围压降参数(?)呈负相关，与应变围压增量比( )呈正相关，其中，X组岩石?均小于W组，均大于W组；(3) X，W，C组岩石均发生了明显脆性破坏，破坏形态均以剪切破坏为主，初始损伤程度较低时，X组岩石破坏程度较大，并伴随有局部宏观裂纹出现；(4) 岩石渗透率受制于岩石孔隙、骨架结构及裂纹拓展发育等因素影响，X，W组岩石渗流–应变关系曲线均可分为3个阶段，一、三阶段相一致，二阶段X组岩石渗透率整体呈先波动下降后波动上升，W组岩石渗透率整体呈波动上升；(5) X组岩石渗透率波动变化随循环等级增大而趋于明显，初始损伤程度越高，该现象越易出现，循环次数对此规律影响较小，但循环次数增加对岩石渗流起抑制作用，并且该抑制作用较围压降低导致的促进作用更为显著。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	张培森1
	2
	许大强1
	2
	颜伟1
	2
	胡昕3
	张晓乐1
	2
	董宇航1
	2
	方家鑫1
	2

关键词 ：岩石力学, 初始损伤, 循环加卸围压, 岩石劣化损伤, 渗流特性

Abstract：In order to explore the law of deterioration and damage of roadway surrounding rocks and to clarify the water inrush mechanism of roadway spalling，laboratory tests on deterioration and seepage characteristics of sandstone under three stress paths of conventional triaxial(group C)，conventional discharge of confining pressure(group W) under different initial damage degrees，and cyclic loading and unloading confining pressure discharge(group X) were carried out based on Rock Top multi-field coupling tester. The results show that：(1) At the beginning of cyclic loading and unloading confining pressure of group X rocks，the axial deformation of rocks is slower than the lateral and volume deformation，but cyclic loading and unloading confining pressure can lead to “ strain accumulation ” of rock，which makes the stress drop point of rock in group X appears “hysteresis effect” compared with group W. (2) The initial damage significantly affects the rock strength and the sensitivity to the confining pressure. The initial damage degree of rocks in group X and group W is negatively correlated with the unified confining pressure drop parameter( )，and positively correlated with the incremental ratio of the strain and the confining pressure( ). The parameter of group X is smaller than that of the group W，while is greater than that of the group W. (3) Obvious brittle failure of rocks occurs in groups X，group W and group C，and the main failure mode is shear failure. When the initial damage degree is low，the rock failure degree of group X is large，accompanied by local macroscopic cracks. (4) The rock permeability is affected by the factors such as rock pores，framework structure and crack development. The rock seepage-strain relationship curves of groups X and group W can be divided into three stages. The first and third stages are consistent. In the second stage，the rock permeability of group X decreases first and then increases，while the rock permeability of group W increases as a whole. (5) The permeability fluctuation of group X tends to be obvious with the increase of the circulation grade. The higher the initial damage degree is，the more easily this phenomenon occurs. The number of cycles has little effect on this law，but the increase of the number of cycles has an inhibition effect on rock seepage，and the inhibition effect is more significant than that caused by the decrease of confining pressure.

Key words： rock mechanics initial damage cyclic loading and unloading confining pressure rock deterioration damage seepage characteristics

引用本文:

张培森1，2，许大强1，2，颜伟1，2，胡昕3，张晓乐1，2，董宇航1，2，方家鑫1，2. 不同初始损伤程度下循环加卸围压对岩石劣化及渗流特性的影响研究[J]. 岩石力学与工程学报, 2023, 42(9): 2109-2124.
ZHANG Peisen1，2，XU Daqiang1，2，YAN Wei1，2，HU Xin3，ZHANG Xiaole1，2，DONG Yuhang1，2，FANG Jiaxin1，2. Study on the influence of cyclic confining pressure on rock deterioration and seepage characteristics under different initial damage degrees. , 2023, 42(9): 2109-2124.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2022.1013 或 http://rockmech.whrsm.ac.cn/CN/Y2023/V42/I9/2109

[8]	孟庆彬，王从凯，黄炳香，等. 三轴循环加卸载条件下岩石能量演化及分配规律[J]. 岩石力学与工程学报，2020，39(10)：2 047-2 059. (MENG Qingbin，WANG Congkai，HUANG Bingxiang，et al. Rock energy evolution and distribution law under triaxial cyclic loading and unloading conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(10)：2 047-2 059.(in Chinese))
[18]	LI J，WANG L，WANG X，et al. Research on unloading nonlinear mechanical characteristics of jointed rock masses[J]. Journal of Rock Mechanics and Geotechnical Engineering，2010，2(4)：357-364.
[28]	王超圣，周宏伟，王睿，等. 加轴压卸围压条件下北山花岗岩破坏特征[J]. 岩土工程学报，2019，41(2)：329-337.(WANG Chaosheng，ZHOU Hongwei，WANG Rui，et al. Failure characteristics of Beishan granite under unloading confining pressures[J]. Chinese Journal of Geotechnical Engineering，2019，41(2)：329-337.(in Chinese))
[38]	汪斌，朱杰兵，邬爱清，等. 锦屏大理岩加、卸载应力路径下力学性质试验研究[J]. 岩石力学与工程学报，2008，27(10)：2 138-2 145.(WANG Bin，ZHU Jiebing，WU Aiqing，et al. Experimental study on mechanical properties of Jinping marble under loading and unloading stress paths[J]. Chinese Journal of Rock Mechanics and Engineering，2008，27(10)：2 138-2 145.(in Chinese))
[48]	MENG Q B，LIU J F，HUANG B X，et al. Effects of confining pressure and temperature on the energy evolution of rocks under triaxial cyclic loading and unloading conditions[J] Rock Mechanics and Rock Engineering，2021，55(2)：773-798.
[35]	张培森，许大强，张睿，等. 不同围压及循环载荷下砂岩的渗流、力学特性试验研究[J]. 岩石力学与工程学报，2022，41(12)：2 432-2 450.(ZHANG Peisen，XU Daqiang，ZHANG Rui，et al. Experimental study on seepage and mechanical properties of sandstone under different confining pressures and cyclic loads[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(12)：2 432-2 450.(in Chinese))
[36]	王伟，徐卫亚，王如宾，等. 低渗透岩石三轴压缩过程中的渗透性研究[J]. 岩石力学与工程学报，2015，34(1)：40-47.(WANG Wei，XU Weiya，WANG Rubin，et al. Permeability of dense rock under triaxial compression[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(1)：40-47.(in Chinese))
[37]	张培森，赵成业，侯季群，等. 温度-应力-渗流耦合条件下红砂岩渗流特性试验研究[J]. 岩石力学与工程学报，2020，39(10)：1 957-1 974.(ZHANG Peisen，ZHAO Chengye，HOU Jiqun，et al. Experimental study on seepage characteristics of deep sandstone under temperature-stress-seepage coupling conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(10)：1 957-1 974.(in Chinese))
[39]	黄润秋，黄达. 高地应力条件下卸荷速率对锦屏大理岩力学特性影响规律试验研究[J]. 岩石力学与工程学报，2010，29(1)：21-33.(HUANG Runqiu，HUANG Da. Experimental research on affection laws of unloading rates on mechanical properties of Jinping marble under high geostress[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(1)：21-33.(in Chinese))
[41]	周科平，苏淑华，胡振襄，等. 不同初始损伤下大理岩卸荷的核磁共振试验研究[J]. 岩土力学，2015，36(8)：2 144-2 150.(ZHOU Keping，SU Shuhua，HU Zhenxiang，et al. Experimental research into nuclear magnetic resonance in marble with different initial damages under unloading conditions[J]. Rock and Soil Mechanics，2015，36(8)：2 144-2 150.(in Chinese))
[42]	刘晓辉，桂欣，余洁，等. 卸围压深埋大理岩扩容特征与裂纹演化规律[J]. 地下空间与工程学报，2022，18(6)：1 922-1 932.(LIU Xiaohui，GUI Xin，YU Jie，et al. Dilatancy characteristics and crack evolution of deep-buried marble under unloading confining pressure[J]. Chinese Journal of Underground Space and Engineering，2022，18(6)：1 922-1 932.(in Chinese))
[44]	邱士利，冯夏庭，张传庆，等. 不同初始损伤和卸荷路径下深埋大理岩卸荷力学特性试验研究[J]. 岩石力学与工程学报，2012，31(8)：1 686-1 697.(QIU Shili，FENG Xiating，ZHANG Chuanqing，et al. Experimental research on mechanical properties of deep marble under different initial damage levels and unloading paths[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(8)：1 686-1 697.(in Chinese))
[46]	邱士利，冯夏庭，张传庆，等. 不同卸围压速率下深埋大理岩卸荷力学特性试验研究[J]. 岩石力学与工程学报，2010，29(9)：1 807-1 817.(QIU Shili，FENG Xiating，ZHANG Chuanqing，et al. Experimental research on mechanical properties of deep-buried marble under different unloading rates of confining pressures[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(9)：1 807-1 817.(in Chinese))
[47]	张培森，赵成业，侯季群，等. 不同初始卸荷水平下红砂岩波速变化及能量耗散规律试验研究[J]. 煤炭学报，2021，46(增1)：157-173.(ZHANG Peisen，ZHAO Chengye，HOU Jiqun，et al. Experimental study on wave velocity variation and energy dissipation law of red sandstone under different initial unloading levels[J]. Journal of China Coal Society，2021，46(Supp.1)：157-173.(in Chinese))
[49]	周家文，杨兴国，符文熹，等. 脆性岩石单轴循环加卸载试验及断裂损伤力学特性研究[J]. 岩石力学与工程学报，2010，29(6)：1 172-1 183.(ZHOU Jiawen，YANG Xingguo，FU Wenxi，et al. Experimental test and fracture damage mechanical characteristics of brittle rock under uniaxial cyclic loading and unloading conditions[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(6)：1 172-1 183.(in Chinese))
[51]	俞缙，李宏，陈旭，等. 渗透压-应力耦合作用下砂岩渗透率与变形关联性三轴试验研究[J]. 岩石力学与工程学报，2013，32(6)：1 203-1 213.(YU Jin，LI Hong，CHEN Xu，et al. Triaxial experimental study of associated permeability-deformation of sandstone under hydro-mechanical coupling[J]. Chinese Journal of Rock Mechanics and Engineering，2013，32(6)：1 203-1 213.(in Chinese))
[52]	胡大伟，周辉，潘鹏志，等. 砂岩三轴循环加卸载条件下的渗透率研究[J]. 岩土力学，2010，31(9)：2 749-2 754.(HU Dawei，ZHOU Hui，PAN Pengzhi，et al. Study of permeability of sandstone in triaxial cyclic stress tests[J]. Rock and Soil Mechanics，2010，31(9)：2 749-2 754.(in Chinese))
[54]	BERNABE YVES. The effective pressure law for permeability during pore pressure and confining pressure cycling of several crystalline rocks[J]. Journal of Geophysical Research，1987，92(B1)：649-657.
[43]	杨永杰，马德鹏，周岩. 煤岩三轴卸围压破坏声发射本征频谱特征试验研究[J]. 采矿与安全工程学报，2019，36(5)：1 002-1 008. (YANG Yongjie，MA Depeng，ZHOU Yan. Experimental research on spectrum signatureeigen of acoustic emission of coal and sandstone damage under triaxial unloading confining pressure[J]. Journal of Mining and Safety Engineering，2019，36(5)：1 002-1 008.(in Chinese))
[45]	刘新荣，刘俊，李栋梁，等. 不同初始卸荷水平对深埋砂岩力学特性影响规律试验研究[J]. 岩土力学，2017，38(11)：3 081-3 088. (LIU Xinrong，LIU Jun，LI Dongliang，et al. Experimental research on the effect of different initial unloading levels on mechanical properties of deep-buried sandstone[J]. Rock and Soil Mechanics，2017，38(11)：3 081-3 088.(in Chinese))
[55]	张磊，阚梓豪，薛俊华，等. 循环加卸载作用下完整和裂隙煤体渗透性演变规律研究[J]. 岩石力学与工程学报，2021，40(12)：2 487-2 499.(ZHANG Lei，KAN Zihao，XUE Junhua，et al. Study on permeability law of intact and fractured coals under cyclic loading and unloading[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(12)：2 487-2 499.(in Chinese))
[53]	MORROW C A，ZHANG C B，BYERLEE J D. Effective pressure law for permeability of westerly granite under cyclic loading[J]. Journal of Geophysical Research，1986，91(B3)：3 870-3 876.
[3]	任建喜，云梦晨，张琨，等. 不同卸围压速率下三轴压缩细粒花岗岩力学特性[J]. 科学技术与工程，2021，21(29)：12 672-12 678. (REN Jianxi，YUN Mengchen，ZHANG Kun，et al. Mechanical properties of fine grained granite under different unloading confining pressure rates[J]. Science Technology and Engineering，2021，21(29)：12 672-12 678.(in Chinese))
[1]	田文岭，杨圣奇，黄彦华. 卸围压下砂岩力学特性及细观机制颗粒流分析[J]. 岩土力学，2016，37(增2)：775-782.(TIAN Wenling，YANG Shengqi，HUANG Yanhua. Particle flow analysis of mechanical behavior and meso-mechanism of sandstone under unloading confining pressure[J]. Rock and Soil Mechanics，2016，37(Supp.2)：775-782.(in Chinese))
[5]	赵阳，周宏伟，任伟光，等. 循环荷载下深部煤层工作面顶板砂岩的渗透率演化规律[J]. 煤炭学报，2019，44(5)：1 495-1 507. (ZHAO Yang，ZHOU Hongwei，REN Weiguang，et al. Permeability evolution of roof sandstone at deep coal seam working face under cyclic loading[J]. Journal of China Coal Society，2019，44(5)：1 495-1 507. (in Chinese))
[11]	王如宾，徐波，徐卫亚，等. 不同卸荷路径对砂岩渗透性演化影响的试验研究[J]. 岩石力学与工程学报，2019，38(3)：467-475.(WANG Rubin，XU Bo，XU Weiya，et al. Experimental research of the influence of different unloading stress paths on permeability evolution of sandstone[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(3)：467-475.(in Chinese))
[13]	MENG Q B，LIU J F，REN L，et al. Experimental study on rock strength and deformation characteristics under triaxial cyclic loading and unloading conditions[J]. Rock Mechanics and Rock Engineering，2021，54(2)，777-797.
[15]	张浩，康毅力，陈景山，等. 变围压条件下致密砂岩力学性质实验研究[J]. 岩石力学与工程学报，2007，26(增2)：4 227-4 231. (ZHANG Hao，KANG Yili，CHEN Jingshan，et al. Experimental study on mechanical properties of dense sandstone under different confining pressures[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(Supp.2)：4 227-4 231.(in Chinese))
[21]	潘孝康，陈结，姜德义，等. 三轴卸围压条件下砂岩声发射统计特征[J]. 煤炭学报，2018，43(10)：2 750-2 757.(PAN Xiaokang，CHEN Jie，JIANG Deyi，et al. Statistical characteristics of sandstone acoustic emission under triaxial unloading confining pressure[J]. Journal of China Coal Society，2018，43(10)：2 750-2 757.(in Chinese))
[23]	尹光志，蒋长宝，王维忠，等. 不同卸围压速度对含瓦斯煤岩力学和瓦斯渗流特性影响试验研究[J]. 岩石力学与工程学报，2011，30(1)：68-77.(YIN Guangzhi，JIANG Changbao，WANG Weizhong，et al. Experimental study of influence of confining pressure unloading speed on mechanical properties and gas permeability of containing-gas coal rock[J]. Chinese Journal of Rock Mechanics and Engineering，2011，30(1)：68-77.(in Chinese))
[25]	张东明，郑彬彬，张先萌，等. 含瓦斯砂岩卸围压变形特征与渗透规律试验研究[J]. 岩土力学，2017，38(12)：3 475-3 483. (ZHANG Dongming，ZHENG Binbin，ZHANG Xianmeng，et al. Experimental study on the deformation characteristics and permeability laws of gas infiltrated sandstone under unloading confining pressure condition[J]. Rock and Soil Mechanics，2017，38(12)：3 475-3 483.(in Chinese))
[9]	徐颖，李成杰，郑强强，等. 循环加卸载下泥岩能量演化与损伤特性分析[J]. 岩石力学与工程学报，2019，38(10)：2 084-2 091.(XU Ying，LI Chengjie，ZHENG Qiangqiang，et al. Analysis of energy evolution and damage characteristics of mudstone under cyclic loading and unloading[J]. Chinese Journal of Rock Mechanics and Engineering，2019，38(10)：2 084-2 091.(in Chinese))
[19]	王云飞，焦华喆，李震，等. 白砂岩卸围压强度与损伤破坏特征[J]. 煤炭学报，2020，45(8)：2 787-2 794.(WANG Yunfei，JIAO Huazhe，LI Zhen，et al. Strength and damage failure characteristics of white sandstone under unloading confining pressure[J]. Journal of China Coal Society，2020，45(8)：2 787-2 794.(in Chinese))
[29]	侯志强，王宇，刘冬桥，等. 三轴疲劳-卸围压条件下大理岩力学特性试验研究[J]. 岩土力学，2020，41(5)：1 510-1 520.(HOU Zhiqiang，WANG Yu，LIU Dongqiao，et al. Experimental study of mechanical properties of marble under triaxial unloading confining pressure after fatigue loading[J]. Rock and Soil Mechanics，2020，41(5)：1 510-1 520.(in Chinese))
[31]	中华人民共和国国家标准编写组. GB/T50266—99 工程岩体试验方法标准[S]. 北京：中国计划出版社，1999.(The National Standard Compilation Group of the People's Republic of China. GB/T50266—99 Standard for test methods of engineering rock mass[S]. Beijing：China Plan Publishing House，1999.(in Chinese))
[33]	张培森，赵成业，侯季群，等. 高温与不同水压下深部砂岩渗透特性试验研究[J]. 岩石力学与工程学报，2020，39(6)：1 117-1 128. (ZHANG Peisen，ZHAO Chengye，HOU Jiqun，et al. Experimental study on seepage characteristics of deep sandstone under high temperature and different hydraulic pressures[J]. Chinese Journal of Rock Mechanics and Engineering，2020，39(6)：1 117-1 128.(in Chinese))
[2]	BRZOVIC A，VILLAESCUSA E. Rock mass characterization and assessment of block-forming geological discontinuities during caving of primary copper ore at the El Teniente mine，Chile[J]. International Journal of Rock Mechanics and Mining Sciences，2007，44(4)：565-583.
[4]	孔园波，华安增，赵鹏，等. 循环加卸围压对岩样破裂的影响[C]// 中国岩石力学与工程学会第三次大会论文集. 北京：中国科学技术出版社，1994：126-128(KONG Yuanbo，HUA Anzeng，ZHAO Peng，et al. The effect of cyclic loading-unloading confining pressure on the rupture of rock samples[C]// Proceedings of the Third Conference of Chinese Society for Rock Mechanics and Engineering. Beijing：China Science and Technology Press，1994：126-128.(in Chinese))
[6]	邓华锋，胡玉，李建林，等. 循环加卸载过程中砂岩能量耗散演化规律[J]. 岩石力学与工程学报，2016，35(增1)：2 869-2 875. (DENG Huafeng，HU Yu，LI Jianlin，et al. The evolution of sandstone energy dissipation under cyclic loading and unloading[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(Supp.1)：2 869-2 875.(in Chinese))
[7]	汪泓，杨天鸿，刘洪磊，等. 循环荷载下干燥与饱和砂岩力学特性及能量演化[J]. 岩土力学，2017，38(6)：1 600-1 608.(WANG Hong，YANG Tianhong，LIU Honglei，et al. Mechanical properties and energy evolution of dry and saturated sandstones under cyclic loading[J]. Rock and Soil Mechanics，2017，38(6)：1 600-1 608.(in Chinese))
[12]	李清淼，梁运培，邹全乐. 循环加卸载路径下不同含瓦斯煤渗流及损伤演化特征[J]. 煤炭学报，2019，44(9)：2 803-2 815.(LI Qingmiao，LIANG Yunpei，ZOU Quanle. Seepage and damage evolution characteristics of different gas-bearingcoal under cyclic loading-unloading conditions[J]. Journal of China Coal Society，2019，44(9)：2 803-2 815.(in Chinese))
[10]	赵军，郭广涛，徐鼎平，等. 三轴及循环加卸载应力路径下深埋硬岩变形破坏特征试验研究[J]. 岩土力学，2020，41(5)：1 521-1 530. (ZHAO Jun，GUO Guangtao，XU Dingping，et al. Experimental study of deformation and failure characteristics of deeply-buried hard rock under triaxial and cyclic loading and unloading stress paths[J]. Rock and Soil Mechanics，2020，41(5)：1 521-1 530.(in Chinese))
[16]	贾恒义，王凯，王益博，等. 围压循环加卸载作用下含瓦斯煤样渗透特性试验研究[J]. 煤炭学报，2020，45(5)：1 710-1 718.(JIA Hengyi，WANG Kai，WANG Yibo，et al. Permeability characteristics of gas-bearing coal specimens under cyclic loading-unloading of confining pressure[J]. Journal of China Coal Society，2020，45(5)：1 710-1 718.(in Chinese))
[17]	GAO F，ZHOU K P，LUO X W，et al. Effect of induction unloading on weakening of rock mechanics properties[J]. Transactions of Nonferrous Metals Society of China，2012，22(2)：419-424.
[20]	刘鹏飞，郭佳奇，范俊奇，等. 不同卸围压速率下花岗岩的力学性质及声发射特征[J]. 高压物理学报，2021，35(1)：61-69.(LIU Pengfei，GUO Jiaqi，FAN Junqi，et al. Mechanical properties and acoustic emission characteristics of granite under different unloading rates of confining pressures[J]. Chinese Journal of High Pressure Physics，2021，35(1)：61-69.(in Chinese))
[22]	张保勇，于洋，高霞，等. 卸围压条件下含瓦斯水合物煤体应力-应变特性试验研究[J]. 煤炭学报，2021，46(增1)：281-290.(ZHANG Baoyong，YU Yang，GAO Xia，et al. Stress-strain characteristics of coal mine gas hydrate-coal mixture under confining pressure unloading[J]. Journal of China Coal Society，2021，46(Supp.1)：281-290.(in Chinese))
[24]	蒋长宝，黄滚，黄启翔. 含瓦斯煤多级式卸围压变形破坏及渗透率演化规律实验[J]. 煤炭学报，2011，36(12)：2 039-2 042.(JIANG Changbao，HUANG Gun，HUANG Qixiang. Experiment on deformation failure and permeability evolution law of gas-containing coal under multi-stage unloading confining pressure[J]. Journal of China Coal Society，2011，36(12)：2 039-2 042.(in Chinese))
[26]	马德鹏，周岩，刘传孝，等. 不同卸围压速率下煤样卸荷破坏能量演化特征[J]. 岩土力学，2019，40(7)：2 645-2 652.(MA Depeng，ZHOU Yan，LIU Chuanxiao，et al. Energy evolution characteristics of coal failure in triaxial tests under different unloading confining pressure rates[J]. Rock and Soil Mechanics，2019，40(7)：2 645-2 652.(in Chinese))
[27]	杨永杰，马德鹏. 煤样三轴卸荷破坏的能量演化特征试验分析[J]. 采矿与安全工程学报，2018，35(6)：1 208-1 216.(YANG Yongjie，MA Depeng. Experimental research on energy evolution properties of coal sample failure under triaxial unloading testing[J]. Journal of Mining and Safety Engineering，2018，35(6)：1 208-1 216.(in Chinese))
[30]	王本鑫，金爱兵，赵怡晴，等. 卸围压条件下花岗岩强度特性及三维裂隙演化规律[J]. 哈尔滨工业大学学报，2020，52(11)：137-146.(WANG Benxin，JIN Aibing，ZHAO Yiqing，et al. Strength characteristics and 3D fracture evolution law of granite under unloading confining pressure[J]. Journal of Harbin Institute of Technology，2020，52(11)：137-146.(in Chinese))
[32]	中华人民共和国行业标准. SL 264—2001 水利水电工程岩石试验规程[S]. 北京：中国水利水电出版社，2001.(The Professional Standards Compilation Group of People?s Republic of China. SL 264—2001 Specifications for rock tests in water conservancy and hydropower engineering[S]. Beijing：China Water and Power Press，2001.(in Chinese))
[34]	张培森，赵成业，李腾辉，等. 红砂岩三轴加载过程中波速变化及能量演化规律试验研究[J]. 岩石力学与工程学报，2021，40(7)：1 369-1 382.(ZHANG Peisen，ZHAO Chengye，LI Tenghui，et al. Experimental study on wave velocity variation and energy evolution of red sandstone during triaxial loading process[J]. Chinese Journal of Rock Mechanics and Engineering，2021，40(7)：1 369-1 382.(in Chinese))
[40]	CAI M，KAISER P K，TASAKA Y，et al. Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations[J]. International Journal of Rock Mechanics and Mining Sciences，2004，41(5)：833-847.
[50]	刘先珊，王科，许明. 低渗储层砂岩渗流-应力-损伤渐裂过程的渗透特性演化研究[J]. 岩土工程学报，2018，40(9)：1 584-1 592. (LIU Xianshan，WANG Ke，XU Ming. Permeability evolution of low-permeability reservoir sandstone considering hydraulic-mechanical-damage coupling effect during gradual fracturing process[J]. Chinese Journal of Geotechnical Engineering，2018，40(9)：1 584-1 592.(in Chinese))
[56]	张闯，任松，吴斐，等. 循环荷载下含层理页岩渗透特性试验研究[J]. 岩土力学，2022，43(3)：649-658.(ZHANG Chuang，REN Song，WU Fei，et al. Experimental study on the permeability characteristics of laminated shale under cyclic loading[J]. Rock and Soil Mechanics，2022，43(3)：649-658.(in Chinese))
[14]	尤明庆，华安增. 岩石试样的三轴卸围压试验[J]. 岩石力学与工程学报，1998，17(1)：24-29.(YOU Mingqing，HUA Anzeng. Triaxial confining depressure test of rock sample[J]. Chinese Journal of Rock Mechanics and Engineering，1998，17(1)：24-29.(in Chinese))