Hydraulic and Mechanical Coupling Analysis of Rough Fracture Network under Normal Stress and Shear Stress

KSCE Journal of Civil Engineering - Tập 26 - Trang 650-660 - 2021
Tianjiao Yang1, Shuhong Wang1, Pengyu Wang1, Ze Zhang1
1College of Resources and Civil Engineering, Northeastern University, Shenyang, China

Tóm tắt

The hydraulic and mechanical coupling characteristics of fracture networks under normal stress and shear stress were studied in this paper. The hydraulic and mechanical coupling model of the fracture network comprehensively considers the normal stress, shear stress, seepage pressure and roughness characteristics. Based on the boundary conditions and reasonable assumptions, COMSOL Multiphysics software was used to develop the hydraulic and mechanical coupling finite element model of the fracture network with different intersection points under normal stress and shear stress, focusing on the study of the effect of normal stress and shear stress on the fracture permeability. The degree of permeability change caused by the normal stress and shear stress is different. The shear stress has a significant influence on the fracture permeability, and when the normal stress is low, the relationship between the fracture permeability and shear stress can be described by a linear relationship. Then, the influence of the number of intersection points in the fracture network on the average fracture width, average water pressure, average seepage velocity and seepage passage of the fractured rock mass was analyzed. The number of intersections in the fracture network has little influence on the average fracture gap width and average water pressure but has a great influence on the flow velocity. The analysis in this paper is very helpful to understand the seepage characteristics in rough fractures under normal stress and shear stress.

Tài liệu tham khảo

Auradou H, Drazer G, Hulin JP, Koplik J (2005) Permeability anisotropy induced by the shear displacement of rough fracture walls. Water Resources Research 41(9):1–10, DOI: https://doi.org/10.1029/2005wr003938 Bandis S, Lumsden AC, Barton NR (1981) Experimental studies of scale effects on the shear behaviour of rock joints. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts 18(1):1–21, DOI: https://doi.org/10.1016/0148-9062(81)90262-X Barton NR Choubey V (1977) The shear strength of rock joints in theory and practice. Rock Mechanics and Rock Engineering 10(1):1–54, DOI: https://doi.org/10.1007/BF01261801 Biot MA (1941) General theory of three-dimensional consolidation. Journal of Applied Physics 12(2):155–164, DOI: https://doi.org/10.1063/1.1712886 Chen YF, Zhou JQ, Hu SH, Hu R, Zhou CB (2015) Evaluation of Forchheimer equation coefficients for non-Darcy flow in deformable rough-walled fractures. Journal of Hydrology 529:993–1006, DOI: https://doi.org/10.1016/j.jhydrol.2015.09.021 Develi K, Babadagli T (2015) Experimental and visual analysis of single-phase flow through rough fracture replicas. International Journal of Rock Mechanics and Mining Sciences 73:139–155, DOI: https://doi.org/10.1016/j.ijrmms.2014.11.002 Durham WB, Bonner BP (1994) Self-propping and fluid flow in slightly offset joints at high effective pressures. Journal of Geophysical Research Atmospheres 99(B5):9391–9399, DOI: https://doi.org/10.1016/0148-9062(95)90081-0 Esaki T, Du S, Mitani Y, Ikusada K, Jing L (1999) Development of a shear-flow test apparatus and determination of coupled properties for a single rock joint. International Journal of Rock Mechanics & Mining Sciences 36(5):641–650, DOI: https://doi.org/10.1016/S0148-9062(99)00044-3 Gale JE (1982) The effects of fracture type (induced versus natural) on the stress-fracture closure-fracture permeability relationships. The 23rd US symposium on rock mechanics (USRMS), August 25–27, Berkeley, CA, USA Gui Y, Xia CC, Ding WQ (2017) A new method for 3D modeling of joint surface degradation and void space evolution under normal and shear loads. Rock Mechanics and Rock Engineering 50(10):2827–2836, DOI: https://doi.org/10.1007/s00603-017-1242-y Guo H, Yuan L, Shen BT, Qu QD, Xue JH (2012) Mining-induced strata stress changes, fractures and gas flow dynamics in multi-seam longwall mining. International Journal of Rock Mechanics & Mining Sciences 54:129–139, DOI: https://doi.org/10.1016/j.ijrmms.2012.05.023 He B, Zhuang XY (2019) Coupled discrete crack and porous media model for hydraulic fractures using the XFEM. KSCE Journal of Civil Engineering 23(3):1017–1027, DOI: https://doi.org/10.1007/s12205-019-0449-8 Huenges E, Kohl T, Kolditz O, Bremer J, Vienken T (2013) Geothermal energy systems: Research perspective for domestic energy provision. Environmental Earth Sciences 70(8):3927–3933, DOI: https://doi.org/10.1007/s12665-013-2881-2 Jaeger JC (1971) Friction of rocks and stability of rock slopes. Geotechnique 21:97–134, DOI: https://doi.org/10.1680/geot.1971.21.2.97 Javadi M, Sharifzadeh M, Shahriar K, Mitani Y (2014) Critical Reynolds number for nonlinear flow through rough-walled fractures: The role of shear processes. Water Resources Research 50(2):1789–1804, DOI: https://doi.org/10.1002/2013WR014610 Jiang Y, Xiao J, Tanabashi Y, Mizokami T (2004) Development of an automated servo-controlled direct shear apparatus applying a constant normal stiffness condition. International Journal of Rock Mechanics and Mining Sciences 41(2):275–86, DOI: https://doi.org/10.1016/j.ijrmms.2003.08.004 Ju Y, Zhang Q, Yang Y, Xie HP, Gao F, Wang HJ (2013) An experimental investigation on the mechanism of fluid flow through single rough fracture of rock. Science China Technological Sciences 56(8):2070–2080, DOI: https://doi.org/10.1007/s11431-013-5274-6 Kling T, Schwarz JO, Wendler F, Enzmann F, Blum P (2017) Fracture flow due to hydrothermally induced quartz growth. Advances in Water Resources 107:93–107, DOI: https://doi.org/10.1016/j.advwatres.2017.06.011 Koyama T, Fardin N, Jing L (2004) Shear induced anisotropy and heterogeneity of fluid flow in a single rock fracture by translational and rotary shear displacements — A numerical study. International Journal of Rock Mechanics and Mining Sciences 41(3):426–436, DOI: https://doi.org/10.1016/j.ijrmms.2003.12.026 Koyama T, Li B, Jiang Y, Jing L (2012) Coupled shear-flow tests for rock fractures with visualization of the fluid flow and their numerical simulations. International Journal of Geotechnical Engineering 2(3):215–227, DOI: https://doi.org/10.3328/IJGE.2008.02.03.215-227 Lei QH, Doonechaly NG, Tsang CF (2021) Modelling fluid injection-induced fracture activation, damage growth, seismicity occurrence and connectivity change in naturally fractured rocks. International Journal of Rock Mechanics and Mining Sciences 138:104598, DOI: https://doi.org/10.1016/j.ijrmms.2020.104598 Lemarchand E, Davy CA, Dormieux L, Skoczylas F (2010) Tortuosity effects in coupled advective transport and mechanical properties of fractured geomaterials. Transport in Porous Media 84(1):1–19, DOI: https://doi.org/10.1007/s11242-009-9481-3 Li B, Jiang Y, Koyama T, Jing L, Tanabashi Y (2008) Experimental study of the hydro-mechanical behavior of rock joints using a parallel-plate model containing contact areas and artificial fractures. International Journal of Rock Mechanics & Mining Sciences 45(3): 362–375, DOI: https://doi.org/10.1016/j.ijrmms.2007.06.004 Liu R, Li B, Jiang YJ (2016) Critical hydraulic gradient for nonlinear flow through rock fracture networks: The roles of aperture, surface roughness, and number of intersections. Advances in Water Resources 88:53–65, DOI: https://doi.org/10.1016/j.advwatres.2015.12.002 Ma GW, Jing HW, Yin Q (2015) Experimental study on mechanical properties of sandstone specimens containing a single hole after high-temperature exposure. Géotechnique Letters 5:43–48, DOI: https://doi.org/10.1680/geolett.14.00121 Ma HC, Wang JP, Qian, JZ, Tan XH, Ma L (2021) Two-dimensional SPH analysis of seepage with water injection process for different crack morphologies. KSCE Journal of Civil Engineering 25(5): 1909–1917, DOI: https://doi.org/10.1007/s12205-021-1202-7 Mahyari AT, Selvadurai APS (1998) Enhanced consolidation in brittle geomaterials susceptible to damage. Mechanics of Cohesive-Frictional Materials 3(3):291–303, DOI: https://doi.org/10.1002/(SICI)1099-1484(199807)3:33.0.CO;2-K Medici G, West LJ, Banwart SA (2019) Groundwater flow velocities in a fractured carbonate aquifer-type: Implications for contaminant transport. Journal of Contaminant Hydrology 222:1–16, DOI: https://doi.org/10.1016/j.jconhyd.2019.02.001 Min KB, Rutqvist J, Tsang CF, Jing L (2004) Stress-dependent permeability of fractured rock masses: A numerical study. International Journal of Rock Mechanics & Mining Sciences 41(7):1191–1210, DOI: https://doi.org/10.1016/j.ijrmms.2004.05.005 Nguyen TS, Selvadurai APS (1998) A model for coupled mechanical and hydraulic behaviour of a rock joint. International Journal for Numerical and Analytical Methods in Geomechanics 22(1):29–48, DOI: https://doi.org/10.1002/(SICI)1096-9853(199801)22:1<29::AID-NAG907>3.0.CO;2-N Ni X, Yang JB, Shao JF (2014) Study on the hydromechanical behavior of single fracture under normal stresses. KSCE Journal of Civil Engineering 18(9):1641–1649, DOI: https://doi.org/10.1007/s12205-014-0490-6 Olsson R, Barton N (2001) An improved model for hydromechanical coupling during shearing of rock joints. International Journal of Rock Mechanics and Mining Sciences 38(3):317–329, DOI: https://doi.org/10.1016/S1365-1609(00)00079-4 Pham K, Choi HJ, Lee D, Kim K, Choi H (2016) Effect of Biot’s coefficient and fluid properties on isothermal H-M coupled consolidation analysis of porous media. KSCE Journal of Civil Engineering 20(6):2355–2364, DOI: https://doi.org/10.1007/s12205-015-1463-0 Pyrak-Nolte LJ, Nolte DD (2016) Approaching a universal scaling relationship between fracture stiffness and fluid flow. Nature Communications 7:10663, DOI: https://doi.org/10.1038/ncomms10663 Rong G, Yang J, Cheng L, Zhou CB (2016) Laboratory investigation of nonlinear flow characteristics in rough fractures during shear process. Journal of Hydrology, ElsevierB.V 541:1385–1394, DOI: https://doi.org/10.1016/j.jhydrol.2016.08.043 Selvadurai APS (2004) Stationary damage modelling of poroelastic contact. International Journal of Solids and Structures 41(8):2043–2064, DOI: https://doi.org/10.1016/j.ijsolstr.2003.08.023 Selvadurai APS, Shirazi A (2010) An elliptical disc anchor in a damage-susceptible poroelastic medium. International Journal for Numerical Methods in Engineering 63:2017–2039, DOI: https://doi.org/10.1002/nme.1354 Shao JF, Zhang Q, Wu XT, Lei Y, Wang ZY (2020) Investigation on the water flow evolution in a filled fracture under seepage-induced erosion. Water 12(11):3188, DOI: https://doi.org/10.3390/w12113188 Son M (2020) Shear strength of rock joints and its estimation. KSCE Journal of Civil Engineering 24(10):2931–2938, DOI: https://doi.org/10.1007/s12205-020-0296-7 Souley M, Lopez P, Boulon M, Thoraval A (2015) Experimental hydromechanical characterization and numerical modelling of a fractured and porous sandstone. Rock Mechanics and Rock Engineering 48(3):1143–1161, DOI: https://doi.org/10.1007/s00603-014-0626-5 Terzaghi KT (1943) Theoretical soil mechanics. Wiley and Sons, New York, NY, USA, DOI: https://doi.org/10.1002/9780470172766 Tsang YW, Witherspoon PA (1981) Hydromechanical behavior of a formable rock fracture subject to normal stress. Journal of Geophysical Research 86(B10):9287–9298, DOI: https://doi.org/10.1029/JB086iB10p09287 Vogler D, Amann F, Bayer P, Elsworth D (2016) Permeability evolution in natural fractures subject to cyclic loading and gouge formation. Rock Mechanics and Rock Engineering 49(9):3463–3479, DOI: https://doi.org/10.1007/s00603-016-1022-0 Wang JP, Ma HC, Feng PC, Zhang Q, Wu D (2021a) An experimental study on seepage within shale fractures due to confining pressure and temperature. KSCE Journal of Civil Engineering 25(9):3596–3604, DOI: https://doi.org/10.1007/s12205-021-5025-3 Wang JP, Ma HC, Qian JZ, Feng PC, Ma L (2021b) Experimental and theoretical study on the seepage mechanism characteristics coupling with confining pressure. Engineering Geology 291(4):106224, DOI: https://doi.org/10.1016/j.enggeo.2021.106224 Witherspoon PA, Amick CH, Gale JE, Iwai K (1979) Observations of a potential size effect in experimental determination of the hydraulic properties of fractures. Water Resources Research 15:1142–1146, DOI: https://doi.org/10.1029/WR015i005p01142 Xie LZ, Gao C, Ren L, Li CB (2015) Numerical investigation of geometrical and hydraulic properties in a single rock fracture during shear displacement with the Navier-Stokes equations. Environmental Earth Sciences 73(11):7061–7074, DOI: https://doi.org/10.1007/s12665-015-4256-3 Xiong XB, Li B, Jiang YJ, Koyama T, Zhang CH (2011) Experimental and numerical study of the geometrical and hydraulic characteristics of a single rock fracture during shear. International Journal of Rock Mechanics and Mining Sciences 48(8):1292–1302, DOI: https://doi.org/10.1016/B978-0-12-408083-6.00022-2 Yeo IW (2001) Effect of contact obstacles on fluid flow in rock fractures. Geosciences Journal 5(2):139–143, DOI: https://doi.org/10.1007/BF02910418 Yin Q, Jing HW, Zhu TT (2017) Experimental study on mechanical properties and cracking behavior of pre-cracked sandstone specimens under uniaxial compression. Indian Geotechnical Journal 47:265–279, DOI: https://doi.org/10.1007/s40098-016-0210-x Yin Q, Jing HW, Zhu TT, Wu L, Yu L (2021) Spatiotemporal evolution characteristics of fluid flow through large-scale 3D rock mass containing filling joints: An experimental and numerical study. Geofluids 1–23, DOI: https://doi.org/10.1155/2021/8883861 Zhang XB, Chen HH, Yao C, Yang JH, Zhou CB (2020) Seepage characteristics of triaxial compression-induced fractured rocks under varying confining pressures. International Journal of Geomechanics 20(9):04020160, DOI: https://doi.org/10.1061/(ASCE)GM.1943-5622.0001796 Zhang ZY, Nemcik J (2013) Fluid flow regimes and nonlinear flow characteristics in deformable rock fractures. Journal of Hydrology 477(1):139–151, DOI: https://doi.org/10.1016/j.jhydrol.2012.11.024 Zhao Z, Jing L, Neretnieks I, Moreno L (2011) Numerical modeling of stress effects on solute transport in fractured rocks. Computers & Geotechnics 38(2):113–126, DOI: https://doi.org/10.1016/j.compgeo.2010.10.001 Zhu WC, Wei CH (2011) Numerical simulation on mining-induced water inrushes related to geologic structures using a damage based hydromechanical model. Environmental Earth Sciences 62(1):43–45, DOI: https://doi.org/10.1007/s12665-010-0494-6 Zhu B, Wu Q, Yang JW, Cui T (2014) Study of pore pressure change during mining and its application on water inrush prevention: A numerical simulation case in Zhaogezhuang coalmine, China. Environmental Earth Sciences 71(5):2115–2132, DOI: https://doi.org/10.1007/s12665-013-2616-4 Zimmerman RW, Bodvarsson GS (1996) Hydraulic conductivity of rock fractures. Transport in Porous Media 23(1):1–30, DOI: https://doi.org/10.1007/BF00145263 Zou LC, Jing LR, Cvetkovic V (2015) Roughness decomposition and nonlinear fluid flow in a single rock fracture. International Journal of Rock Mechanics and Mining Sciences 75:102–118, DOI: https://doi.org/10.1016/j.ijrmms.2015.01.016 Zou LF, Xu WY, Meng GT, Ning Y, Wang HL (2018) Permeability anisotropy of columnar jointed rock masses. KSCE Journal of Civil Engineering 22(10):3802–3809, DOI: https://doi.org/10.1007/s12205-018-0123-6