Experimental and numerical investigations on fluid flow and corresponding influencing factors in a single rough-walled fracture surrounded by permeable matrix#br#
(1. Key Laboratory of Rock Mechanics and Geohazards of Zhejiang Province,Shaoxing University,Shaoxing,Zhejiang 312000,China;2. School of Civil Engineering,Shaoxing University,Shaoxing,Zhejiang 312000,China;3. Zhejiang Collaborative Innovation Center for Prevention and Control of Mountain Geologic Hazards,Shaoxing University,Shaoxing,Zhejiang 312000,China;
4. College of Civil Engineering,Tongji University,Shanghai 200092,China;5. Key Laboratory of Geotechnical and Underground Engineering of Ministry of Education,Tongji University,Shanghai 200092,China)
Abstract:To accurately assess matrix permeability and its role in the fluid flow through fractured rocks,flow-through experiments are conducted on both intact and split rock cores(including mudstone,sandstone and limestone) subjected to hydro-mechanically coupling conditions. By varying confining pressures(10–18 MPa) and fracture roughness(1.64 to 15.52),the influence of the confining pressure and the fracture roughness on the fluid flow within fracture and matrix were explored. The experimental results indicate that the permeability of both matrix and fracture shows a decreasing trend with increasing the confining pressure,and the permeability of fracture(Kf) declines faster than that of matrix(Km),resulting in a decrement in the ratio between them(Kf/Km). Specifically,when the confining pressure increases to 18 MPa,Kf/Km of mudstone reduces to 7–8(depend on fracture roughness),reflecting fracture permeability is in the same order with matrix permeability,and then matrix permeability should not be neglected. Furthermore,the numerical simulations were performed on fractured rocks with fracture roughness of 2.58–17.4,and under confining pressures of 3–53 MPa. The fluid flow in matrix and fracture were assumed to obey Darcy law and Forchheimer law,respectively. The numerical results match experimental ones well,and it successfully reproduces the evolutions of fracture and matrix permeability with confining pressure and fracture roughness. If we take Kf/Km of 10 as a threshold,below which matrix permeability should be considered,then the critical confining pressure of 18,20,and 46 MPa can be determined for mudstone,sandstone and limestone,respectively. In addition,it is found that the contact area between rough-walled fracture surfaces increases with confining pressure and fracture roughness,leading to shrinkage in the flow channels,which consequently lowers the fracture permeability. Meanwhile,the velocity of flow within the narrowed channels will then accelerate,resulting in vortex inside the flow field,which further reduce the permeability of rough-walled fractures. This study systematically explores the fluid flow evolution within fracture and matrix,and provides a quantitative index Kf/Km to evaluate the role of matrix permeability in fluid flow through fractured rocks.
[1] 段庆宝,杨晓松,陈建业. 地震断层带流体作用的岩石物理和地球化学响应研究综述[J]. 地球物理学进展,2015,30(6):2 448–2 462. (DUAN Qingbao,YANG Xiaosong,CHEN Jianye. Review of geochemical and petrophysical responses to fluid processes within seismogenic fault zones[J]. Progress in Geophysics,2015,30(6):2 448–2 462.(in Chinese))
[2] DONG J,JU Y. Quantitative characterization of single-phase flow through rough-walled fractures with variable apertures[J]. Geomechanics and Geophysics for Geo-Energy and Geo-Resources,2020,6(3):42–56.
[3] XIE L Z,GAO C,REN L,et al. Numerical investigation of geometrical and hydraulic properties in a single rock fracture during shear displacement with the Navier-Stokes equations[J]. Environmental Earth Sciences,2015,73(11):7 061–7 074.
[4] ZHANG Y,CHAI J. Effect of surface morphology on fluid flow in rough fractures:A review[J]. Journal of Natural Gas Science and Engineering,2020,79:103343.
[5] 董利飞,岳湘安,徐 星,等. 不同渗透率油藏储层应力敏感性实验研究[J]. 地质科技情报,2015,34(6):155–158.(DONG Lifei,YUE Xiang?an,XU Xing,et al. Experimental study on the stress sensitivity in different permeability reservoirs[J]. Geological Science and Technology Information,2015,34(6):155–158.(in Chinese))
[6] BERKOWITZ B. Characterizing flow and transport in fractured geological media:A review[J]. Advances in Water Resources,2002,25(8/12):861–884.
[7] BABADAGLI T,REN X,DEVELI K,et al. Effects of fractal surface roughness and lithology on single and multiphase flow in a single fracture:An experimental investigation[J]. International Journal of Multiphase Flow,2015,68:40–58.
[8] ZIMMERMAN R W,BODVARSSON G S. Hydraulic conductivity of rock fractures[J].Transport in Porous Media,1996,23(1):1–30.
[9] YIN Q,MA G,JING H,et al. Hydraulic properties of 3D rough-walled fractures during shearing:An experimental study[J]. Journal of Hydrology,2017,555:169–184.
[10] 于洪丹,崔景川,陈卫忠,等. 核废料地下储库围岩长期水力响应特征[J]. 岩石力学与工程学报,2022,41(增1):2 639–2 648.(YU Hongdan,CUI Jingchuan,CHEN Weizhong,et al. Characterization of the long-term hydro-mechanical response in the host rock of a potential nuclear waste disposal repository[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(Supp.1):2 639–2 648.(in Chinese))
[11] 杨春和,王同涛. 深地储能研究进展[J]. 岩石力学与工程学报,2022,41(9):1 729–1 759.(YANG Chunhe,WANG Tongtao. Advance in deep underground energy storage[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(9):1 729–1 759.(in Chinese))
[12] YIN Q,JING H,MA G,et al. Investigating the roles of included angle and loading condition on the critical hydraulic gradient of real rock fracture networks[J]. Rock Mechanics and Rock Engineering,2018,51(4):1–11.
[13] WANG Q,QIN Q,JIANG B,et al. Mechanized construction of fabricated arches for large-diameter tunnels[J]. Automation in Construction,2021,124:103583.
[14] RYBACH L. Geothermal energy:sustainability and the environment[J]. Geothermics,2003,32(4/6):463–470.
[15] 王 媛,速宝玉. 单裂隙面渗流特性及等效水力隙宽[J]. 水科学进展,2002,(1):61–68.(WANG Yuan,SU Baoyu. Research on the behavior of fluid flow in a single fracture and its equivalent hydraulic aperture[J]. Advances in Water Science,2002,(1):61–68.(in Chinese))
[16] 熊祥斌,张楚汉,王恩志. 岩石单裂隙稳态渗流研究进展[J]. 岩石力学与工程学报,2009,28(9):1 839–1 847.(XIONG Xiangbin,ZHANG Chuhan,WANG Enzhi. A review of steady state seepage in a single fracture of rock[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(9):1 839–1 847.(in Chinese))
[17] XIA C C,QIAN X,LIN P,et al. Experimental investigation of nonlinear flow characteristics of real rock joints under different contact conditions[J]. Journal of Hydraulic Engineering,2016,143(3):04016090.1–04016090.14.
[18] 曾亿山,卢德唐,曾清红,等. 单裂隙流–固耦合渗流的试验研究[J]. 实验力学,2005,(1):10–16.(ZENG Yishan,LU Detang,ZENG Qinghong,et al. Experimental study on coupling of flow-stress within a single fracture[J]. Journal of Experimental Mechanics,2005,(1):10–16.(in Chinese))
[19] 杜万军,柴军瑞,许增光,等. 岩体单裂隙辐射流水力耦合试验研究[J]. 水电能源科学,2022,40(4):133–136.(DU Wanjun,CHAI Junrui,XU Zengguang,et al. Laboratory investigation of coupled shear radial flow in a single fracture[J]. Water Resources and Power,2022,40(4):133–136.(in Chinese))
[20] 张培森,侯季群,赵成业,等. 不同围压不同损伤程度红砂岩渗流特性试验研究[J]. 岩石力学与工程学报,2020,39(12):2 405–2 415. (ZHANG Peiseng,HOU Jiqun,ZHAO Chengye,et al. Experimental study on seepage characteristics of red sandstone with different confining pressures and different damage degrees[J]. Chinese Journal of Rock Mechanics and Engineering,2020,39(12):2 405–2 415.(in Chinese))
[21] 陈跃都,梁卫国,杨健锋,等. 含水压粗糙岩石裂隙有效应力规律研究[J]. 岩石力学与工程学报,2018,37(增2):3 850–3 860.(CHEN Yuedu,LIANG Weiguo,YANG Jianfeng,et al. Study on the effective stress characteristic of rough rock fractures with water pressure[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(Supp.2):3 850–3 860.(in Chinese))
[22] 刘才华,陈从新. 三轴应力作用下岩石单裂隙的渗流特性[J]. 自然科学进展,2007,(7):989–994.(LIU Caihua,CHEN Congxin. Seepage characteristics of rock single fracture under triaxial stress[J]. Progress in Natural Science,2007,(7):989–994.(in Chinese))
[23] 王 帅,于庆磊,王 玲. 单轴压缩条件下裂隙粗糙度对渗透系数的影响[J]. 工程科学学报,2021,43(7):915–924.(WANG Shuai,YU Qinglei,WANG Ling. Effect of fracture roughness on permeability coefficient under uniaxial compression[J]. Chinese Journal of Engineering,2021,43(7):915–924.(in Chinese))
[24] 贺玉龙,陶玉敬,杨立中. 不同节理粗糙度系数单裂隙渗流特性试验研究[J]. 岩石力学与工程学报,2010,29(增1):3 235–3 240.(HE Yulong,TAO Yujing,YANG Lizhong,et al. Experimental research on hydraulic behaviors in a single joint with various values of JRC[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(Supp.1):3 235–3 240.(in Chinese))
[25] XIONG F,JIANG Q H,CHEN M X. Numerical investigation on hydraulic properties of artificial-splitting granite fractures during normal and shear deformations[J]. Geofluids,2018,(4):1–16.
[26] 付宏渊,蒋煌斌,邱 祥,等. 低应力与覆水环境下单裂隙粉砂质泥岩渗流特性[J]. 岩土力学,2020,41(12):3 840–3 850.(FU Hongyuan,JIANG Huangbin,QIU Xiang,et al. Seepage characteristics of single-fracture silty mudstone under low stress and overlying water environment[J]. Rock and Soil Mechanics,2020,41(12):3 840–3 850.(in Chinese))
[27] 刘 杰,唐洪宇,杨渝南,等. 基于图像数字技术的砂岩裂隙可视化渗流特性试验研究[J]. 岩土工程学报,2020,42(11):2 024–2 033. (LIU Jie,TANG Hongyu,YANG Yun?an,et al. Experimental research on visible seepage of sandstone fissure using digital image-based method[J]. Chinese Journal of Geotechnical Engineering,2020,42(11):2 024–2 033.(in Chinese))
[28] NEMOTO K,WATANABE N,HIRANO N,et al. Direct measurement of contact area and stress dependence of anisotropic flow through rock fracture with heterogeneous aperture distribution[J]. Earth and Planetary Science Letters,2009,281(1/2):81–87.
[29] GUO P Y,GAO K,WANG M,et al. Numerical investigation on the influence of contact characteristics on nonlinear flow in 3D fracture[J]. Computers and Geotechnics,2022,149:104863.
[30] QIAN J,LEI M,ZHAN H,et al. The effect of expansion ratio on the critical Reynolds number in single fracture flow with sudden expansion[J]. Hydrological Processes,2016,30(11):1 718–1 726.
[31] WANG M,CHEN Y F,MA G W,et al. Influence of surface roughness on nonlinear flow behaviors in 3D self-affine rough fractures:Lattice Boltzmann simulations[J]. Advances in Water Resources,2016,96:373–388.
[32] 李 博,汪佳飞,刘日成,等. 岩石裂隙压剪变形破坏与非线性渗流特性[J]. 工程科学与技术,2021,53(6):103–112.(LI Bo,WANG Jiafei,LIU Richeng,et al. Deformation,Failure and nonlinear flow characteristics of a fracture subject to normal stress and shear displacement[J]. Advanced Engineering Sciences,2021,53(6):103–112.(in Chinese))
[33] NITAG J J,BUSCHEK T A. Infiltration of a liquid front in an unsaturated,fractured porous medium:water resourresv27,n8,aug 1991,p2099–2112[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1992,29(2):A93.
[34] 钟 振,胡云进,刘国华. 考虑裂隙–岩块间水交换的单裂隙非饱和渗流数值模拟[J]. 四川大学学报:工程科学版,2012,44(4):51–56.(ZHONG Zhen,HU Yunjin,LIU Guohua. Numerical Simulation of Unsaturated Flow in Single Fracture Considering the Water Exchange Between Fracture and Matrix[J]. Journal of Sichuan University:Engineering Science,2012,44(4):51–56.(in Chinese))
[35] 胡云进,钟 振,张新海. 考虑裂隙–岩块间水交换的单裂隙非饱和渗流影响因素分析[J]. 应用基础与工程科学学报,2012,20(6):1 110–1 117.(HU Yunjin,ZHONG Zhen,ZHANG Xinhai. Analysis of influence factors on unsaturated flow in a single fracture considering water exchange between fracture and matrix[J]. Journal of Basic Science and Engineering,2012,20(6):1 110–1 117.(in Chinese))
[36] HEAP M J,KENNEDY B M. Exploring the scale-dependent permeability of fractured andesite[J]. Earth and Planetary Science Letters,2016,447:139–150.
[37] JIANG Z,DENG T,YIN Q,et al. Numerical modeling of fluid flowing properties through porous media with single rough fractures[J]. Geofluids,2021,2021:1–21.
[38] 中华人民共和国国家标准编写组. GB/T50123―2019 土工试验方法标准[S]. 北京:中国计划出版社,2019.(The National Standards Compilation Group of People?s Republic of China. GB/T50123―2019 Standard for geotechnical test method[S]. Beijing:China Planning Press,2019.(in Chinese))
[39] BARTON N,BANDIS S,BAKHTAR K. Strength,deformation and conductivity coupling of rock joints[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1985,22(3):121–140.
[40] TSE R. Estimating joint roughness coefficients[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1979,16(5):303–307.
[41] 胡云进,王小宇,钟 振,等. 变饱和度条件下粗糙岩石节理剪切强度特性的试验研究[J]. 岩石力学与工程学报,2022,41(2):336–345.(HUN Yunjin,WANG Xiaoyu,ZHONG Zhen,et al. Experimental study on shear strength of rough rock joints under various saturations[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(2):336–345.(in Chinese))
[42] HU Y J,WANG X Y,ZHONG Z. Investigations on the jointed influences of saturation and roughness on the shear properties of artificial rock joints[J]. Geomechanics and Geophysics for Geo-Energy and Geo-Resources,2022,8(4):115.
[43] 胡云进,杨申东,钟 振,等. 灰岩单裂隙非饱和渗流–应力耦合特性试验研究[J]. 岩石力学与工程学报,2022,41(增1):2 846–2 856.(HUN Yunjin,YANG Shendong,ZHONG Zhen,et al. Experimental study on unsaturated flow properties through a single limestone fracture under confining pressure[J]. Chinese Journal of Rock Mechanics and Engineering,2022,41(Supp.1):2 846–2 856.(in Chinese))
[44] BRACE W F. Permeability of crystalline and argillaceous rocks[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1980,17(5):241–251.
[45] 薛艳鹏. 岩石气测渗透率室内测定方法综述[J]. 科技展望,2015,25(24):155.(XUE Yanpeng. Summary of indoor measurement methods of rock gas permeability[J]. Science and Technology,2015,25(24):155.(in Chinese))
[46] HSIEH P A,TRACY J V,NEUZIL C E,et al. A transient laboratory method for determining the hydraulic properties of 'tight' rocks—I. Theory[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1981,18(3):245–252.
[47] 刘乐乐,张宏源,刘昌岭,等. 瞬态压力脉冲法及其在松散含水合物沉积物中的应用[J]. 海洋地质与第四纪地质,2017,37(5):159–165.(LIU Lele,ZHANG Hongyuan,LIU Changling,et al. Pressure pulse-decay method and its application to permeability measurement of hydrate-bearing sediments[J]. Marine Geology and Quaternary Geology,2017,37(5):159–165.(in Chinese))
[48] 徐 轶,徐 青. 基于COMSOL Multiphysics的渗流有限元分析[J]. 武汉大学学报:工学版,2014,47(2):165–170.(XU Yi,XU Qing. Finite element analysis of seepage based on COMSOL Multiphysics[J]. Engineering Journal of Wuhan University,2014,47(2):165–170.(in Chinese))
[49] 速宝玉,张文捷,盛金昌,等. 渗流–化学溶解耦合作用下岩石单裂隙渗透特性研究[J]. 岩土力学,2010,31(11):3 361–3 366.(SU Baoyu,ZHANG Wenjie,SHENG Jinchang,et al. Study of permeability in single fracture under effects of coupled fluid flow and chemical dissolution[J]. Rock and Soil Mechanics,2010,31(11):3 361–3 366. (in Chinese))
[50] 陈必光,宋二祥,程晓辉. 二维裂隙岩体渗流传热的离散裂隙网络模型数值计算方法[J]. 岩石力学与工程学报,2014,33(1):43–51.(CHEN Biguang,SONG Erxiang,CHENG Xiaohui. A numerical method for discrete fracture network model for flow and heat transfer in two-dimensional fractured rocks[J]. Chinese Journal of Rock Mechanics and Engineering,2014,33(1):43–51.(in Chinese))
[51] 丁述基. 达西及达西定律[J]. 水文地质工程地质,1986,(3):37–39.(DING Shuji. Darcy and Darcy?s law[J]. Hydrogeology and Engineering Geology,1986,(3):37–39.(in Chinese))
[52] 姚 池,邵玉龙,杨建华,等. 非线性渗流对裂隙岩体渗流传热过程的影响[J]. 岩土工程学报,2020,42(6):1 050–1 058.(YAO Chi,SHAO Yulong,YANG Jianhua,et al. Effect of nonlinear seepage on flow and heat transfer process of fractured rocks[J]. Chinese Journal of Geotechnical Engineering,2020,42(6):1 050–1 058.(in Chinese))
[53] BANDIS S C,LUMSDEN A C,BARTON N R,et al. Fundamentals of rock joint deformation[J]. International Journal of Rock Mechanics and Mining Sciences,1983,20(6):249–268.
[54] 于洪丹,陈飞飞,陈卫忠,等. 含裂隙岩石渗流力学特性研究[J]. 岩石力学与工程学报,2012,31(增1):2 788–2 795.(YU Hongdan,CHEN Feifei,CHEN Weizhong,et al. Research on permeability of fractured rock[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(Supp.1):2 788–2 795.(in Chinese))
[55] 曲冠政,彭 娇,赵 凯,等. 基于Gaussian分布的三维非匹配性裂缝渗流规律[J]. 中国石油大学学报:自然科学版,2018,42(3):88–97.(QU Guanzheng,PENG Jiao,ZHAO Kai,et al. Lattice boltzmann simulation of fluid flow in mismatched rough fractures based on Gaussian distribution[J]. Journal of China University of Petroleum,2018,42(3):88–97.(in Chinese))