(1. State Key Laboratory of Geohazard Prevention and Geoenvironment Protection,Chengdu University of Technology,Chengdu,Sichuan 610059,China;2. College of Environment and Civil Engineering,Chengdu University of Technology,
Chengdu,Sichuan 610059,China)
Abstract:In order to investigate progressive damage and permeability evolution of sandstone under direct- shearing conditions,a group of numerical models based on physical experiments are established using the particle flow code in two-dimension(PFC2D). Four different levels of normal stresses are set to discuss meso-crack propagation features,energy dissipation mechanism,and permeability evolution characteristics of sandstone in the process of direct-shearing. The results show that the mesoscopic cracks gradually expanding,merging,connecting,nucleating,and finally forming an obvious macroscopic shear band,and the total number of cracks after failure increases with the increase of the normal stress. In addition,the total energy input in the pre-peak stage is mainly stored in the form of the strain energy of interparticle bonding bonds,and the dissipated energy increases rapidly in the post-peak stage. The dissipated energy is close to 40% of the total energy when the numerical rock samples fail completely. Furthermore,the permeability variation is governed by the preferred seepage channels in the rock sample,and the sudden increase of permeability is the manifestation of the transformation of“pore flow”into“fracture flow”during direct shearing process.
[1] WU Y,HE S M,LI X P. Mechanism of action of cracks water on rock landslide in rainfall[J]. Journal of Central South University of Technology,2010,17(6):1 383–1 388.
[2] ZHAO Y,LI P,TIAN S. Prevention and treatment technologies of railway tunnel water inrush and mud gushing in China[J]. Journal of Rock Mechanics and Geotechnical Engineering,2013,5(6):468–477.
[3] TIAN X,SONG D,HE X,et al. Investigation on micro-surface adhesion of coals and implications for gas occurrence and coal and gas outburst mechanism[J]. Journal of Natural Gas Science and Engineering,2021,94:104115.
[4] 尹光志,蒋长宝,李晓泉,等. 突出煤和非突出煤全应力–应变瓦斯渗流试验研究[J]. 岩土力学,2011,32(6):1 613–1 619.(YIN Guangzhi,JIANG Changbao,LI Xiaoquan,et al. An experimental study of gas permeabilities of outburst and nonoutburst coals under complete stress-strain process[J]. Rock and Soil Mechanics,2011,32(6):1 613–1 619.(in Chinese))
[5] BRACE W F,WALSH J B,FRANGOS W T. Permeability of granite under high pressure[J]. Journal of Geophysical Research,1968,73(6):2 225–2 236.
[6] ZOBACK M D,BYERLEE J D. The effect of microcrack dilatancy on the permeability of Westerly granite[J]. Journal of Geophysical Research,1975,80(5):752–755.
[7] 刘欣宇,刘爱华,李夕兵,等. 高围压条件下含充填裂隙类岩石水渗流试验研究[J]. 岩石力学与工程学报,2012,31(7):1 390– 1 398.(LIU Xinyu,LIU Aihua,LI Xibing,et al. Experimental study of permeability of rock-like material with filling fractures under high confining pressure[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(7):1 390–1 398.(in Chinese))
[8] ZHENG J,ZHENG L,LIU H H,et al. Relationships between permeability,porosity and effective stress for low-permeability sedimentary rock[J]. International Journal of Rock Mechanics and Mining Sciences,2015,78:304–318.
[9] JIA C J,XU W Y,WANG H L,et al. Stress dependent permeability and porosity of low-permeability rock[J]. Journal of Central South University,2017,24:2 396–2 405.
[10] POTYONDY D O,CUNDALL P A. Bonded-particle model for rock[J]. International Journal of Rock Mechanics and Mining Sciences,2004,41(8):1 329–1 364.
[11] 周 喻,吴顺川,许学良,等. 岩石破裂过程中声发射特性的颗粒流分析[J]. 岩石力学与工程学报,2013,32(5):951–959. (ZHOU Yu,WU Shunchuan,XU Xueliang,et al. Particle flow analysis of acoustic emission characteristics during rock fracture[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(5):951–959.(in Chinese))
[12] CHEN X,YU J,TANG C A,et al. Experimental and numerical investigation of permeability evolution with damage of sandstone under triaxial compression[J]. Rock Mechanics and Rock Engineering,2017,50(6):1 529–1 549.
[13] ZENG W,YANG S Q,TIAN W L,et al. Numerical investigation on permeability evolution behavior of rock by an improved flow-coupling algorithm in particle flow code[J]. Journal of Central South University,2018,25(6):1 367–1 385.
[14] ESAKI T,DU S,MITANI Y,et al. Development of a shear-flow test apparatus and determination of coupled properties for a single rock joint[J]. International Journal of Rock Mechanics and Mining Sciences,1999,36(5):641–650.
[15] JAVADI M,SHARIFZADEH M,SHAHRIAR K,et al. Critical Reynolds number for nonlinear flow through rough-walled fractures:The role of shear processes[J]. Water Resources Research,2014,50(2):1 789–1 804.
[16] XIONG X B,LI B,JIANG Y J,et al. Experimental and numerical study of the geometrical and hydraulic characteristics of a single rock fracture during shear[J]. International Journal of Rock Mechanics and Mining Sciences,2011,48(8):1 292–1 302.
[17] WANG C S,LIU R C,JIANG Y J,et al. Effect of shear-induced contact area and aperture variations on nonlinear flow behaviors in fractal rock fractures[J]. Journal of Rock Mechanics and Geotechnical Engineering,2023,15(2):309–322.
[18] 夏才初,宋英龙,唐志成,等. 粗糙节理剪切性质的颗粒流数值模拟[J]. 岩石力学与工程学报,2012,31(8):1 545–1 552.(XIA Caichu,SONG Yinglong,TANG Zhicheng,et al. Numerical simulation of shear properties of rough joints by particle flow[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(8):1 545–1 552.(in Chinese))
[19] 宋英龙,夏才初,唐志成,等. 不同接触状态下粗糙节理剪切强度性质的颗粒流数值模拟和试验验证[J]. 岩石力学与工程学报,2013,32(10):2 028–2 035.(SONG Yinglong,XIA Caichu,TANG Zhicheng,et al. Numerical simulation and Experimental verification of shear strength properties of rough joints under different contact states using particle flow[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(10):2 028–2 035.(in Chinese))
[20] 李晓锋,李海波,夏 祥,等. 类节理岩石直剪试验力学特性的数值模拟研究[J]. 岩土力学,2016,37(2):583–591.(LI Xiaofeng,LI Haibo,XIA Xiang,et al. Numerical simulation of mechanical properties of jointed rock in direct shear test[J]. Rock and Soil Mechanics,2016,37(2):583–591.(in Chinese))
[21] JASINGE D,RANJITH P G,CHOI S K. Effects of effective stress changes on permeability of Latrobe Valley brown coal[J]. Fuel,2011,90(3):1 292–1 300.
[22] 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.
[23] 黄 达,岑夺丰. 单轴静–动相继压缩下单裂隙岩样力学响应及能量耗散机制颗粒流模拟[J]. 岩石力学与工程学报,2013,32(9): 1 926–1 936.(HUANG Da,CEN Duofeng. Particle flow simulation of mechanical response and energy dissipation mechanism of single fracture rock sample under uniaxial static-dynamic sequential compression[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(9):1 926–1 936.(in Chinese))
[24] CUNDALL P A,STRACK O. A discrete numerical model for granualar assemblies[J]. Géotechnique,1979,29(1):47–65.
[25] FOURIER D,ELJABBAR L,UMAR F. Kozeny-Carman and empirical formula for the permeability of computer rock models[J]. International Journal of Rock Mechanics and Mining Sciences,2012,50:117–123.
[26] TANG C A. Numerical simulation of progressive rock failure and associated seismicity[J]. International Journal of Rock Mechanics and Mining Sciences,1997,34(2):249–261.
[27] 穆 康,李天斌,俞 缙,等. 围压效应下砂岩声发射与压缩变形关系的细观模拟[J]. 岩石力学与工程学报,2014,33(增1):2 786– 2 793.(MU Kang,LI Tianbin,YU Jin,et al. Mesoscopic simulation of relationship of acoustic emission and compressive deformation behaviour in sandstone under confining pressures effect[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(Supp.1): 2 786–2 793.(in Chinese))
[28] 宿 辉,党承华,李彦军. 考虑不均质度的岩石声发射数值模拟研究[J]. 岩土力学,2011,32(6):1 886–1 890.(SU Hui,DANG Chenghua,LI Yanjun. Numerical simulation of rock acoustic emission considering inhomogeneity[J]. Rock and Soil Mechanics,2011,32(6):1 886–1 890.(in Chinese))
[29] 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. Mechanical properties and mesoscopic particle flow analysis of sandstone under unloading confining pressure [J]. Rock and Soil Mechanics,2016,37(Supp.2):775–782.(in Chinese))
[30] MORADIAN Z,EINSTEIN H H,BALLIVY G. Detection of cracking levels in brittle rocks by parametric analysis of the acoustic emission signals[J]. Rock Mechanics and Rock Engineering,2016,49(3):785–800.
[31] 袁 康,蒋宇静,李亿民,等. 基于颗粒离散元法岩石压缩过程破裂机制宏细观研究[J]. 中南大学学报:自然科学版,2016,47(3):913–922.(YUAN Kang,JIANG Yujing,LI Yimin,et al. Macro-micro mechanical research on failure mechanism of rock subjected to compression loading based on DEM[J]. Journal of Central South University:Science and Technology,2016,47(3):913– 922.(in Chinese))
[32] 赵 闯,武 科,李术才,等. 循环荷载作用下岩石损伤变形与能量特征分析[J]. 岩土工程学报,2013,35(5):890–896.(ZHAO Chuang,WU Ke,LI Shucai,et al. Analysis of rock damage deformation and energy characteristics under cyclic loading[J]. Chinese Journal of Geotechnical Engineering,2013,35(5):890–896.(in Chinese))
[33] 穆 康,俞 缙,李 宏,等. 水–力耦合条件下砂岩声发射和能量耗散的颗粒流模拟[J]. 岩土力学,2015,36(5):1 496–1 504. (MU Kang,YU Jin,LI Hong,et al. Acoustic emission of sandstone with hydro-mechanical coupling and PFC-based modelling of energy dissipation[J]. Rock and Soil Mechanics,2015,36(5):1 496–1 504. (in Chinese))
[34] 于 辉,刘少伟,贾后省,等. 不同围压下闭合单裂隙砂岩力学响应及能量耗散机制研究[J]. 采矿与安全工程学报,2020,37(2):385–393.(YU Hui,LIU Shaowei,JIA Housheng,et al. Research on mechanical response and energy dissipation mechanism of closed single-fracture sandstone under different confining pressures[J]. Chinese Journal of Mining and Safety Engineering,2020,37(2):385–393.(in Chinese))
[35] 彭瑞东,谢和平,鞠 杨. 砂岩拉伸过程中的能量耗散与损伤演化分析[J]. 岩石力学与工程学报,2007,26(12):2 526–2 531. (PENG Ruidong,XIE Heping,JU Yang. Analysis of energy dissipation and damage evolution during sandstone stretching process[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(12):2 526–2 531.(in Chinese))
[36] 赵毅鑫,龚 爽,黄亚琼. 冲击载荷下煤样动态拉伸劈裂能量耗散特征实验[J].煤炭学报,2015,40(10):2 320–2 326.(ZHAO Yixin,GONG Shuang,HUANG Yaqiong. Experiment on energy dissipation characteristics of dynamic tensile splitting of coal samples under impact load[J]. Journal of China Coal Society,2015,40(10):2 320–2 326.(in Chinese))
[37] 金丰年,蒋美蓉,高小玲. 基于能量耗散定义损伤变量的方法[J]. 岩石力学与工程学报,2004,23(12):1 976–1 980.(JIN Fengnian,JIANG Meirong,GAO Xiaoling. Method of defining damage variable based on energy dissipation[J]. Chinese Journal of Rock Mechanics and Engineering,2004,23(12):1 976–1 980.(in Chinese))
[38] 冯明明. 基于颗粒流裂隙岩体加卸荷宏细观力学特性研究[硕士学位论文][D]. 淮南:安徽理工大学,2018.(FENG Mingming. Macro- mechanical properties of rock mass loading and unloading based on particle flow[M. S. Thesis][D]. Huainan:Anhui University of Science and Technology,2018.(in Chinese))