Research on coupling model of single fracture seepage and normal stress #br#
of rock mass considering the soft and hard aperture
YANG Jianhang1,2,YE Zuyang1,2,HUANG Shibing1,2,CHENG Aiping1,2
(1. School of Resource and Environmental Engineering,Wuhan University of Science and Technology,Wuhan,Hubei 430081,China;2. Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgical Mineral Resources,
Wuhan,Hubei 430081,China)
Abstract:The coupling mechanism of rock mass fracture seepage and normal stress is an important basis for hydro-mechanical coupling analysis of fractured rock mass. The normal stress and permeability curves of rock mass fracture often show nonlinear characteristics,and there is a significant difference with the increase of normal stress:the fracture permeability decreases sharply under low stress conditions,while the fracture permeability decreases slowly under high stress conditions. At present,traditional mathematical models can not describe the difference of fracture permeability under low stress and high stress. Therefore,based on two-part Hooke?s Model(TPHM),the fracture closure is divided into two parts:the hard closure and the soft closure. The influence of the soft closure and the hard closure on the deformation and seepage characteristics of rock mass fracture under low stress and high stress conditions is considered respectively,and the coupling mathematical equation of rock mass fracture seepage and normal stress is established. Three groups of hydro-mechanical coupling test data under loading condition of granite fractures were used to verify the theoretical model. The results show that the theoretical model is basically consistent with the experimental data,and better than the negative exponential model,power function model and logarithmic model,indicating the effectiveness of soft and hard aperture in quantitatively describing the nonlinear hydro-mechanical coupling characteristics of rock mass fractures. The main control effect of soft aperture on rock fracture permeability under low stress state is revealed.
杨健航1,2,叶祖洋1,2,黄诗冰1,2,程爱平1,2. 考虑软体和硬体开度的岩体单裂隙渗流与法向应力耦合模型研究[J]. 岩石力学与工程学报, 2023, 42(S1): 3473-3480.
YANG Jianhang1,2,YE Zuyang1,2,HUANG Shibing1,2,CHENG Aiping1,2. Research on coupling model of single fracture seepage and normal stress #br#
of rock mass considering the soft and hard aperture. , 2023, 42(S1): 3473-3480.
[1] 王 媛,徐志英,速宝玉. 复杂裂隙岩体渗流与应力弹塑性全耦合分析[J]. 岩石力学与工程学报,2000,19(2):177–181.(WANG Yuan,XU Zhiying,SU Baoyu. Complete coupled analysis of fluid flow and elastoplastic stress in complicated fractured rock masses[J]. Chinese Journal of Rock Mechanics and Engineering,2000,19(2):177–181.(in Chinese))
[2] YEO I W,FREITAS M H D E,ZIMMERMAN R W. Effect of shear displacement on the aperture and permeability of a rock fracture[J]. International Journal of Rock Mechanics and Mining Sciences,1998,35(8):1 051–1 070.
[3] PYRAK-NOLTE L J,MYER L R,COOK N G W,et al. Hydraulic and mechanical properties of natural fractures in low permeability rock[C]// Proceedings of the Sixth International Congress on Rock Mechanics. Montreal,Canada:[s. n.],1987:225–231.
[4] LOUIS C . A Study of groundwater flow in jointed rock and its influence on stability of rock mass[R]. [S. l.]:Imperial College Rock Mechanics,1969.
[5] RAVEN K G,GALE J E. Water flow in a natural rock fracture as a function of stress and sample size[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1985,22(4):251–261.
[6] SWAN G . Determination of stiffness and other joint properties from roughness measurements[J]. Rock Mechanics and Rock Engineering,1983,16(1):19–38.
[7] 谢 妮,徐礼华,邵建富,等. 法向应力和水压力作用下岩石单裂隙水力耦合模型[J]. 岩石力学与工程学报,2011,20(增2):3 796–3 803.(XIE Ni,XU Lihua,SHAO Jianfu,et al. Coupled hydro-mechanical modeling of rock fractures subject to both normal stress and fluid pressure[J]. Chinese Journal of Rock Mechanics and Engineering,2011,20(Supp.2):3 796–3 803.(in Chinese))
[8] ZOU L,CVETKOVIC V. Impact of normal stress-induced closure on laboratory-scale solute transport in a natural rock fracture[J]. Chinese Journal of Rock Mechanics And Engineering,2020,12(4):10.
[9] WANG L,CARDENAS M B. Development of an empirical model relating permeability and specific stiffness for rough fractures from numerical deformation experiments[J]. Journal of Geophysical Research Solid Earth,2016,121(7):4 977–4 989.
[10] LI B,CUI X,ZOU L,et al. On the relationship between normal stiffness and permeability of rock fractures[J]. Geophysical Research Letters,2021,DOI:10.102912021GL095593.
[11] CARDONA A,FINKBEINER T,SANTAMARINA J C. Natural rock fractures:from aperture to fluid flow[J]. Rock Mechanics and Rock Engineering,2021,54:5 827–5 844.
[12] LIU H H,RUTQVIST,BERRYMAN G. On the relationship between stress and elastic strain for porous and fractured rock[J]. International Journal of Rock Mechanics and Mining Sciences,2009,46(2):289–296.
[13] FREED A D. Natural strain[J]. Journal of Engineering Materials and Technology,1995,117:379–385.
[14] ZHAO Y,LIU H H. An elastic stress-strain relationship for porous rock under anisotropic stress conditions[J]. Rock Mechanics and Rock Engineering,2012,45(3):389–399.
[15] ZOU L C,LI B,MO Y Y,et al. A High-resolution contact analysis of rough-walled crystalline rock fractures subject to normal stress[J]. Rock Mechanics and Rock Engineering,2020,53(4):2 141–2 155.
[16] LOMIZE G M. Flow in fractured rocks[R]. Moscow:Gesenergoizdat,1951.
[17] ROMM E S. Flow characteristics of fractured rocks[M]. Moscow:Nedra Publishing House,1966:283.
[18] 朱红光,易 成,谢和平,等. 基于立方定律的岩体裂隙非线性流动几何模型[J]. 煤炭学报,2016,41(4):822–828.(ZHU Hongguang,YI Cheng,XIE Heping,et a1. A new geometric model for non–linear now in rough-walled factures based on the cubic law[J]. Joumal of China Coal society,2016,41(4):822–828.(in Chinese))
[19] WITHERSPOON P A,WANG J S Y,IWAI K,et al. Validity of cubic law for fluid flow in a deformable rock fracture[J]. Water Resources Research,1980,16(6):1 016–1 024.
[20] ELLIOTT G M,BROWN E T. Laboratory measurement of the thermo-hydro-mechanical properties of rock[J]. Quarterly Journal of Engineering Geology and Hydrogeology,1988,21(4):299–314.
[21] 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.
[22] KULATILAKE P,PARK J,SU X P. Fluid Flow through Natural Single-Rock Fractures:Experimental and Numerical Investigations[J]. International Journal of Geomechanics,2020,20(10):4020168.1–4020168.11.