A fractal model based on a new governing equation of fluid flow in fractures for characterizing hydraulic properties of rock fracture networks
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Babadagli, 2001, Fractal analysis of 2-D fracture networks of geothermal reservoirs in south-western Turkey, J Volcanol Geoth Res, 112, 83, 10.1016/S0377-0273(01)00236-0
Bagde, 2002, Rock mass characterization by fractal dimension, Eng Geol, 63, 141, 10.1016/S0013-7952(01)00078-3
Baghbanan, 2007, Hydraulic properties of fracture rock masses with correlated fracture length and aperture, Int J Rock Mech Min Sci, 44, 704, 10.1016/j.ijrmms.2006.11.001
Baghbanan, 2008, Stress effects on permeability in a fractured rock mass with correlated fracture length and aperture, Int J Rock Mech Min Sci, 45, 1320, 10.1016/j.ijrmms.2008.01.015
Barton CC, Hsieh PA. Physical and hydrologic-flow properties of fractures. Field Trip Guidebook, T385. In: 28th International geological congress, Washington DC; 1989.
Barton CC, Larsen E. Fractal geometry of two-dimensional fracture networks at Yucca Mountain, south-western Nevada. In: Proceedings of the international symposium on fundamentals of rock joints. Bjorkliden, Sweden; 1985. p. 77–84.
Barton, 1977, The shear strength of rock joints in theory and practice, Rock Mech, 10, 1, 10.1007/BF01261801
Bour, 1997, Connectivity of random fault networks following a power law fault length distribution, Water Resour Res, 33, 1567, 10.1029/96WR00433
Cai, 2010, Fractal analysis of invasion depth of extraneous fluids in porous media, Chem Eng Sci, 65, 5178, 10.1016/j.ces.2010.06.013
Chen, 2015, Estimating hydraulic conductivity of fractured rocks from high-pressure packer tests with an Izbash’s law-based empirical model, Water Resour Res, 51, 2096, 10.1002/2014WR016458
De Dreuzy, 2001, Hydraulic properties of two-dimensional random fracture networks following a power law length distribution: 2. Permeability of networks based on lognormal distribution of apertures, Water Resour Res, 37, 2079, 10.1029/2001WR900010
De Dreuzy, 2001, Hydraulic properties of two-dimensional random fracture networks following a power law length distribution: 1. Effective connectivity, Water Resour Res, 37, 2065, 10.1029/2001WR900011
De Dreuzy, 2002, Hydraulic properties of two-dimensional random fracture networks following power law distributions of length and aperture, Water Resour Res, 38, 1276, 10.1029/2001WR001009
Dverstorp, 1989, Application of the discrete fracture network concept with field data: possibilities of model calibration and validation, Water Resour Res, 25, 540, 10.1029/WR025i003p00540
Hatton, 1994, Non-universal of fracture length and opening displacement, Nature, 367, 160, 10.1038/367160a0
Hudson, 1997
Irwin, 1957, Analysis of stresses and strains near the end of a crack traversing a plate, J Appl Mech, 10.1115/1.4011547
Jaeger JC, Cook NGW. Fundamentals of rock mechanics. Mathuen, London; 1979.
Jaeger JC. Elasticity, fracture and flow: with engineering and geological applications. Methuen; 1969.
Jafari, 2009, A sensitivity analysis for effective parameters on 2D fracture-network permeability, SPE Reservoir Eval Eng, 12, 455, 10.2118/113618-PA
Jafari A, Babadagli T. A sensitivity analysis for effective parameters on 2D fracture-network permeability. Western Regional and Pacific Section AAPG Joint Meeting. 31 March-2 April 2008. SPE 113618, Bakersfield, California, U.S.A.
Jafari, 2012, Estimation of equivalent fracture network permeability using fractal and statistical network properties, J Petrol Sci Eng, 92, 110, 10.1016/j.petrol.2012.06.007
Jafari, 2013, Relationship between percolation–fractal properties and permeability of 2-D fracture networks, Int J Rock Mech Min Sci, 60, 353, 10.1016/j.ijrmms.2013.01.007
Javadi, 2010, A new geometric model for non-linear fluid flow through rough fractures, J Hydrol, 389, 18, 10.1016/j.jhydrol.2010.05.010
Jiang, 2006, Influence of geometric distribution of rock joints on deformation behavior of underground opening, Tunn Undergr Space Technol, 21, 485, 10.1016/j.tust.2005.10.004
Klimczak, 2010, Cubic law with aperture-length correlation: implications for network scale fluid flow, Hydrogeol J, 18, 851, 10.1007/s10040-009-0572-6
Koyama, 2007, Effects of model scale and particle size on micro-mechanical properties and failure processes of rocks—a particle mechanics approach, Eng Anal Boundary Elem, 31, 458, 10.1016/j.enganabound.2006.11.009
Kruhl, 2013, Fractal-geometry techniques in the quantification of complex rock structures: a special view on scaling regimes, inhomogeneity and anisotropy, J Struct Geol, 46, 2, 10.1016/j.jsg.2012.10.002
Kulatilake, 1995, New peak shear strength criteria for anisotropic rock joints, Int J Rock Mech Min Sci Geomech Abstr Pergamon, 32, 673, 10.1016/0148-9062(95)00022-9
La Pointe, 1988, A method to characterize fracture density and connectivity through fractal geometry, Int J Rock Mech Min Sci Geomech Abstr, 421, 10.1016/0148-9062(88)90982-5
Lawn, 1993
Leung, 2012, Estimating the hydraulic conductivity of two-dimensional fracture networks using network geometric properties, Transp Porous Media, 93, 777, 10.1007/s11242-012-9982-3
Liu, 2015, A fractal model for charactering fluid flow in fractured rock masses on randomly distributed rock fracture networks, Comput Geotech, 65, 45, 10.1016/j.compgeo.2014.11.004
Liu, 2016, Critical hydraulic gradient for nonlinear flow through rock fracture networks: the roles of aperture, surface roughness, and number of intersections, Adv Water Resour, 88, 53, 10.1016/j.advwatres.2015.12.002
Liu, 2014, Numerical calculation of directivity of equivalent permeability of fractured rock masses network, Rock Soil Mech, 35, 2394
Liu R, Wang X, Li B, Jiang Y. Influence of geometric distribution of fractures on permeability of rock fracture networks. In: Proceedings of the 34th West Japan symposium on rock engineering; 2013. p. 43–8.
Long, 1982, Porous media equivalents for networks of discontinuous fractures, Water Resour Res, 18, 645, 10.1029/WR018i003p00645
Louis, 1969, A study of groundwater flow in jointed rock and its influence on the stability of rock masses, Imperial College Sci Technol, 5
Majumdar, 1990, Role of fractal geometry in roughness characterization and contact mechanics of surfaces, J Tribol, 112, 205, 10.1115/1.2920243
Mandelbrot BB. The fractal geometry of nature. San Francisco, CA; 1982.
Miao, 2015, A fractal analysis of permeability for fractured rocks, Int J Heat Mass Transfer, 81, 75, 10.1016/j.ijheatmasstransfer.2014.10.010
Min, 2003, Numerical determination of the equivalent elastic compliance tensor for fractured rock masses using the distinct element method, Int J Rock Mech Min Sci, 40, 795, 10.1016/S1365-1609(03)00038-8
Min, 2004, Stress-dependent permeability of fractured rock masses: a numerical study, Int J Rock Mech Min Sci, 41, 1191, 10.1016/j.ijrmms.2004.05.005
Oliveira, 1987, In situ testing of rocks, 26/1
Olson, 2003, Sublinear scaling of fracture aperture versus length: an exception or the rule?, J Geophys Res: Solid Earth (1978–2012), 108, 10.1029/2001JB000419
Pollard, 1987, Theoretical displacements and stresses near fractures in rock: with applications to faults, joints, veins, dikes, and solution surfaces, Fract Mech Rock, 277, 277, 10.1016/B978-0-12-066266-1.50013-2
Renshaw, 1997, Effect of mechanical interactions on the scaling of fracture length and aperture, Nature, 386, 482, 10.1038/386482a0
Scholz, 2002
Schultz, 2008, Dependence of displacement–length scaling relations for fractures and deformation bands on the volumetric changes across them, J Struct Geol, 30, 1405, 10.1016/j.jsg.2008.08.001
Schultz, 2008, Emplacement conditions of igneous dikes in Ethiopian traps, J Volcanol Geoth Res, 178, 683, 10.1016/j.jvolgeores.2008.08.012
Sih, 1962, On the singular character of thermal stresses near a crack tip, J Appl Mech, 29, 587, 10.1115/1.3640612
Snow, 1965
Timoshenko, 1970
Tsang, 1996, Tracer transport in a stochastic continuum model of fractured media, Water Resour Res, 32, 3077, 10.1029/96WR01397
Tsang, 1981, Hydromechanical behavior of a deformable rock fracture subject to normal stress, J Geophys Res: Solid Earth (1978–2012), 86, 9287, 10.1029/JB086iB10p09287
Vermilye, 1995, Relation between vein length and aperture, J Struct Geol, 17, 423, 10.1016/0191-8141(94)00058-8
Xiong, 2011, Experimental and numerical study of the geometrical and hydraulic characteristics of a single rock fracture during shear, Int J Rock Mech Min Sci, 48, 1292, 10.1016/j.ijrmms.2011.09.009
Yu, 2002, A fractal permeability model for bi-dispersed porous media, Int J Heat Mass Transf, 45, 2983, 10.1016/S0017-9310(02)00014-5
Yu, 2002, A fractal in-plane permeability model for fabrics, Polym Compos, 23, 201, 10.1002/pc.10426
Zhang, 1996, Evaluation of the 2-D permeability tensor for fractured rock masses, Int J Rock Mech Min Sci Geomech Abstr Pergamon, 33, 17, 10.1016/0148-9062(95)00042-9
Zhao, 2009, Investigation of fractal distribution law for the trace number of random and grouped fractures in a geological mass, Eng Geol, 109, 224, 10.1016/j.enggeo.2009.08.002
Zhao, 2014, Effects of fracture surface roughness on macroscopic fluid flow and solute transport in fracture networks, Rock Mech Rock Eng, 47, 2279, 10.1007/s00603-013-0497-1
Zheng, 2012, A fractal permeability model for gas flow through dual-porosity media, J Appl Phys, 111, 024316, 10.1063/1.3679070
Zhou, 1999, Representative elementary volume (REV): a fundamental problem for selecting the mechanical parameters of jointed rock mass, Chin J Eng Geol, 7, 332