메뉴 건너뛰기




Volumn 18, Issue 4, 2010, Pages 851-862

Cubic law with aperture-length correlation: Implications for network scale fluid flow;Loi cubique et corrélation ouverture-longueur: Application à l'écoulement d'un fluide à l'échelle du réseau

Author keywords

Cubic law; Displacement to length scaling; Fluid flow; Fractured rocks; Numerical modeling

Indexed keywords

FLOW FIELD; FLOW MODELING; FLUID FLOW; FRACTURE FLOW; FRACTURE NETWORK; FRACTURED MEDIUM; HYDRAULIC CONDUCTIVITY; NUMERICAL MODEL; PERMEABILITY; POWER LAW DISTRIBUTION; SPATIAL DISTRIBUTION;

EID: 77952879222     PISSN: 14312174     EISSN: 14350157     Source Type: Journal    
DOI: 10.1007/s10040-009-0572-6     Document Type: Article
Times cited : (246)

References (60)
  • 1
    • 33847284549 scopus 로고    scopus 로고
    • Hydraulic properties of fractured rock masses with correlated fracture length and aperture
    • Baghbanan A, Jing L (2006) Hydraulic properties of fractured rock masses with correlated fracture length and aperture. Int J Rock Mech Min Sci 44: 704-719.
    • (2006) Int J Rock Mech Min Sci , vol.44 , pp. 704-719
    • Baghbanan, A.1    Jing, L.2
  • 2
    • 0000513161 scopus 로고
    • Proceedings of the International Symposium on Fundamentals of Rock Joints, Bjorkliden, Sweden, 15-20 September
    • Bandis SC, Makurat A, Vik G (1985) Predicted and measured hydraulic conductivity of rock joints. Proceedings of the International Symposium on Fundamentals of Rock Joints, Bjorkliden, Sweden, 15-20 September, pp 269-280.
    • (1985) Predicted and Measured Hydraulic Conductivity of Rock Joints , vol.1985 , pp. 269-280
    • Bandis, S.C.1    Makurat, A.2    Vik, G.3
  • 5
    • 0000532798 scopus 로고
    • Efficient simulation of the von Mises distribution
    • Best DJ, Fisher NI (1979) Efficient simulation of the von Mises distribution. Appl Stat 28(2): 152-157.
    • (1979) Appl Stat , vol.28 , Issue.2 , pp. 152-157
    • Best, D.J.1    Fisher, N.I.2
  • 7
    • 0001225176 scopus 로고
    • Memoire sur l'influence des frottements dans les mouvements reguliers des fluids [Thesis about the influence of friction within the steady flow of fluids]
    • Boussinesq J (1868) Memoire sur l'influence des frottements dans les mouvements reguliers des fluids [Thesis about the influence of friction within the steady flow of fluids]. J Math Pures Appl 13: 377-424.
    • (1868) J Math Pures Appl , vol.13 , pp. 377-424
    • Boussinesq, J.1
  • 8
    • 0023488636 scopus 로고
    • Fluid flow through rock joints: The effect of surface roughness
    • Brown SR (1987) Fluid flow through rock joints: the effect of surface roughness. J Geophys Res 92: 1337-1347.
    • (1987) J Geophys Res , vol.92 , pp. 1337-1347
    • Brown, S.R.1
  • 9
    • 0001702753 scopus 로고
    • The closure of random elastic surfaces in contact
    • Brown SR, Scholz CH (1985) The closure of random elastic surfaces in contact. J Geophys Res 90: 5531-5545.
    • (1985) J Geophys Res , vol.90 , pp. 5531-5545
    • Brown, S.R.1    Scholz, C.H.2
  • 10
    • 50449089964 scopus 로고    scopus 로고
    • Numerical estimation of REV and permeability tensor for fractured rock masses by composite element method
    • Chen SH, Feng XM, Isam S (2008) Numerical estimation of REV and permeability tensor for fractured rock masses by composite element method. Int J Numer Anal Meth Geomech 32: 1459-1477.
    • (2008) Int J Numer Anal Meth Geomech , vol.32 , pp. 1459-1477
    • Chen, S.H.1    Feng, X.M.2    Isam, S.3
  • 11
    • 0029668312 scopus 로고    scopus 로고
    • A modern regression approach to determining fault displacement-length scaling relationship
    • Clark RM, Cox SJD (1996) A modern regression approach to determining fault displacement-length scaling relationship. J Struct Geol 18: 147-152.
    • (1996) J Struct Geol , vol.18 , pp. 147-152
    • Clark, R.M.1    Cox, S.J.D.2
  • 12
    • 0000868472 scopus 로고
    • The effect of tortuosity on flow through a natural fracture
    • In: Hustrulid WA, Johnson WA (ed), Proceedings of the 31st US Symposium on Rock Mechanics. Golden, CO, June 1990
    • Cook AM, Myer LR, Cook NGW, Doyle FM (1990) The effect of tortuosity on flow through a natural fracture. In: Hustrulid WA, Johnson WA (ed) Rock mechanics contributions and challenges, Proceedings of the 31st US Symposium on Rock Mechanics. Golden, CO, June 1990.
    • (1990) Rock Mechanics Contributions and Challenges
    • Cook, A.M.1    Myer, L.R.2    Cook, N.G.W.3    Doyle, F.M.4
  • 13
    • 0027070182 scopus 로고
    • Physical explanation for the displacement-length relationship of faults using a post-yield fracture mechanics model
    • Cowie PA, Scholz CH (1992a) Physical explanation for the displacement-length relationship of faults using a post-yield fracture mechanics model. J Struct Geol 14: 1133-1148.
    • (1992) J Struct Geol , vol.14 , pp. 1133-1148
    • Cowie, P.A.1    Scholz, C.H.2
  • 14
    • 0027071487 scopus 로고
    • Displacement-length scaling relationship for faults: Data synthesis and discussion
    • Cowie PA, Scholz CH (1992b) Displacement-length scaling relationship for faults: data synthesis and discussion. J Struct Geol 14: 1149-1156.
    • (1992) J Struct Geol , vol.14 , pp. 1149-1156
    • Cowie, P.A.1    Scholz, C.H.2
  • 15
    • 0027883015 scopus 로고
    • On the frequency-length distribution of the San Andreas fault system
    • Davy P (1993) On the frequency-length distribution of the San Andreas fault system. J Geophys Res 98: 12141-12151.
    • (1993) J Geophys Res , vol.98 , pp. 12141-12151
    • Davy, P.1
  • 16
    • 0029480667 scopus 로고
    • Displacement-length scaling and fault linkage
    • Dawers NH, Anders MH (1995) Displacement-length scaling and fault linkage. J Struct Geol 17: 607-614.
    • (1995) J Struct Geol , vol.17 , pp. 607-614
    • Dawers, N.H.1    Anders, M.H.2
  • 17
    • 84879881226 scopus 로고
    • Growth of normal faults: Displacement-length scaling
    • Dawers NH, Anders MH, Scholz CH (1993) Growth of normal faults: displacement-length scaling. Geology 21: 1107-1110.
    • (1993) Geology , vol.21 , pp. 1107-1110
    • Dawers, N.H.1    Anders, M.H.2    Scholz, C.H.3
  • 18
    • 0034925529 scopus 로고    scopus 로고
    • Hydraulic properties of two-dimensional random fracture networks following a power law length distribution 2: Permeability networks based on lognormal distribution of apertures
    • De Dreuzy J-R, Davy P, Bour O (2001) Hydraulic properties of two-dimensional random fracture networks following a power law length distribution 2: permeability networks based on lognormal distribution of apertures. Water Resour Res 37: 2079-2095.
    • (2001) Water Resour Res , vol.37 , pp. 2079-2095
    • de Dreuzy, J.-R.1    Davy, P.2    Bour, O.3
  • 19
    • 0037003581 scopus 로고    scopus 로고
    • Hydraulic properties of two-dimensional fracture networks following power law distributions of length and aperture
    • Dreuzy D, Davy P, Bour O (2002) Hydraulic properties of two-dimensional fracture networks following power law distributions of length and aperture. Water Resour Res 38, W06412. doi:10.1029/2001WR001009.
    • (2002) Water Resour Res , vol.38
    • Dreuzy, D.1    Davy, P.2    Bour, O.3
  • 20
    • 0018020365 scopus 로고
    • Variation of whole and fractured porous rock permeability with confining pressure
    • Gangi AF (1978) Variation of whole and fractured porous rock permeability with confining pressure. Int J Rock Min Sci Geomech Abstr 15: 249-257.
    • (1978) Int J Rock Min Sci Geomech Abstr , vol.15 , pp. 249-257
    • Gangi, A.F.1
  • 22
    • 85123615747 scopus 로고
    • Analysis of stresses and strains near the end of a crack
    • Irwin GR (1957) Analysis of stresses and strains near the end of a crack. J Appl Mech 24: 361-369.
    • (1957) J Appl Mech , vol.24 , pp. 361-369
    • Irwin, G.R.1
  • 26
    • 0034255240 scopus 로고    scopus 로고
    • Effect of block size and joint geometry on jointed rock hydraulics and REV
    • Kulatilake PHSW, Panda B (2000) Effect of block size and joint geometry on jointed rock hydraulics and REV. J Engrg Mech 126(8): 850-858.
    • (2000) J Engrg Mech , vol.126 , Issue.8 , pp. 850-858
    • Kulatilake, P.H.S.W.1    Panda, B.2
  • 29
    • 0022264348 scopus 로고
    • A model for steady fluid flow in random three-dimensional networks of disc-shaped fractures
    • Long JCS, Gilmour P, Witherspoon PA (1985) A model for steady fluid flow in random three-dimensional networks of disc-shaped fractures. Water Resour Res 21: 1105-1115.
    • (1985) Water Resour Res , vol.21 , pp. 1105-1115
    • Long, J.C.S.1    Gilmour, P.2    Witherspoon, P.A.3
  • 30
    • 77949966506 scopus 로고
    • A study of groundwater flow in jointed rock and its influence of the stability of rock masses
    • Imperial College, London
    • Louis CA (1969) A study of groundwater flow in jointed rock and its influence of the stability of rock masses. Rock Mechanics Research Report 10. Imperial College, London.
    • (1969) Rock Mechanics Research Report , pp. 10
    • Louis, C.A.1
  • 31
    • 0029668327 scopus 로고    scopus 로고
    • Aggregate properties of fracture populations
    • Marrett R (1996) Aggregate properties of fracture populations. J Struct Geol 18: 169-178.
    • (1996) J Struct Geol , vol.18 , pp. 169-178
    • Marrett, R.1
  • 32
    • 36749100661 scopus 로고    scopus 로고
    • A correlated fracture network: Modeling and percolation properties
    • doi:10.29/2006WR005331
    • Masihi M, King PR (2007) A correlated fracture network: modeling and percolation properties. Water Resour Res 43, W07439. doi:10.29/2006WR005331.
    • (2007) Water Resour Res , vol.43
    • Masihi, M.1    King, P.R.2
  • 33
    • 7444246068 scopus 로고    scopus 로고
    • Determining the equivalent permeability tensor for fractured rock masses using a stochastic REV approach: Method and application to the field data from Sellafield, UK
    • Min KB, Jing L, Stephansson O (2004) Determining the equivalent permeability tensor for fractured rock masses using a stochastic REV approach: method and application to the field data from Sellafield, UK. Hydrogeol J 12: 497-510.
    • (2004) Hydrogeol J , vol.12 , pp. 497-510
    • Min, K.B.1    Jing, L.2    Stephansson, O.3
  • 34
    • 60149084833 scopus 로고    scopus 로고
    • Multiscale relationships between fracture length, aperture, density and permeability
    • Neuman SP (2008) Multiscale relationships between fracture length, aperture, density and permeability. Geophys Res Lett 35, L22402. doi:10.1029/2008GL035622.
    • (2008) Geophys Res Lett , vol.35
    • Neuman, S.P.1
  • 36
    • 0031252104 scopus 로고    scopus 로고
    • Scaling and connectivity of joint systems in sandstones from western Norway
    • Odling NE (1997) Scaling and connectivity of joint systems in sandstones from western Norway. J Struct Geol 19: 1257-1271.
    • (1997) J Struct Geol , vol.19 , pp. 1257-1271
    • Odling, N.E.1
  • 37
    • 0347530070 scopus 로고    scopus 로고
    • Sublinear scaling of fracture aperture versus length: An exception or the rule?
    • doi:10.1029/2001JB000419
    • Olson JE (2003) Sublinear scaling of fracture aperture versus length: an exception or the rule? J Geophys Res 108(B9), 2413. doi:10.1029/2001JB000419.
    • (2003) J Geophys Res , vol.108 , Issue.9 B , pp. 2413
    • Olson, J.E.1
  • 38
    • 85063610566 scopus 로고
    • Stress analysis of cracks. In: Fracture toughness testing and its applications
    • American Society for Testing and Materials, West Conshohocken, PA
    • Paris PC, Sih GC (1965) Stress analysis of cracks. In: Fracture toughness testing and its applications. Special Technical Publication, vol. 381, American Society for Testing and Materials, West Conshohocken, PA, pp 30-83.
    • (1965) Special Technical Publication , vol.381 , pp. 30-83
    • Paris, P.C.1    Sih, G.C.2
  • 39
    • 0000298280 scopus 로고
    • Theoretical displacements and stresses near fractures in rock: With applications to faults, joint, veins, dikes and solution surfaces
    • B. K. Atkinson (Ed.), San Diego, CA: Academic Press
    • Pollard DD, Segall P (1987) Theoretical displacements and stresses near fractures in rock: with applications to faults, joint, veins, dikes and solution surfaces. In: Atkinson BK (ed) Fracture mechanics of rock. Academic Press, San Diego, CA.
    • (1987) Fracture Mechanics of Rock
    • Pollard, D.D.1    Segall, P.2
  • 41
    • 0022107724 scopus 로고
    • Water flow in a natural rock fracture as a function of stress and sample size
    • Raven KG, Gale JE (1985) Water flow in a natural rock fracture as a function of stress and sample size. Int J Rock Mech Min Sci Geomech Abstr 22(4): 251-261.
    • (1985) Int J Rock Mech Min Sci Geomech Abstr , vol.22 , Issue.4 , pp. 251-261
    • Raven, K.G.1    Gale, J.E.2
  • 42
    • 0029476572 scopus 로고
    • On the relationship between mechanical and hydraulic apertures in rough-walled fractures
    • Renshaw CE (1995) On the relationship between mechanical and hydraulic apertures in rough-walled fractures. J Geophys Res 100: 24629-24636.
    • (1995) J Geophys Res , vol.100 , pp. 24629-24636
    • Renshaw, C.E.1
  • 43
    • 0029661781 scopus 로고    scopus 로고
    • Influence of subcritical fracture growth on the connectivity of fracture networks
    • Renshaw CE (1996) Influence of subcritical fracture growth on the connectivity of fracture networks. Water Resour Res 32(6): 1519-1530.
    • (1996) Water Resour Res , vol.32 , Issue.6 , pp. 1519-1530
    • Renshaw, C.E.1
  • 44
    • 0032826815 scopus 로고    scopus 로고
    • Connectivity of joint networks with power law length distributions
    • Renshaw CE (1999) Connectivity of joint networks with power law length distributions. Water Resour Res 35(9): 2661-2670.
    • (1999) Water Resour Res , vol.35 , Issue.9 , pp. 2661-2670
    • Renshaw, C.E.1
  • 45
    • 10444220217 scopus 로고    scopus 로고
    • Simulations of solute transport in fractured porous media using 2D percolation networks with uncorrelated hydraulic conductivity fields
    • Rivard C, Delay F (2004) Simulations of solute transport in fractured porous media using 2D percolation networks with uncorrelated hydraulic conductivity fields. Hydrogeol J 12: 613-627.
    • (2004) Hydrogeol J , vol.12 , pp. 613-627
    • Rivard, C.1    Delay, F.2
  • 46
    • 0028812985 scopus 로고
    • Propagation of magma-filled cracks
    • Rubin AM (1995) Propagation of magma-filled cracks. Annu Rev Earth Planet Sci 23: 287-336.
    • (1995) Annu Rev Earth Planet Sci , vol.23 , pp. 287-336
    • Rubin, A.M.1
  • 48
    • 54049122887 scopus 로고    scopus 로고
    • Dependence of displacement-length scaling relations for fractures and deformation bands on the volumetric changes across them
    • Schultz RA, Soliva R, Fossen H, Okubo CH, Reeves DM (2008a) Dependence of displacement-length scaling relations for fractures and deformation bands on the volumetric changes across them. J Struct Geol 30: 1405-1411.
    • (2008) J Struct Geol , vol.30 , pp. 1405-1411
    • Schultz, R.A.1    Soliva, R.2    Fossen, H.3    Okubo, C.H.4    Reeves, D.M.5
  • 49
    • 57049084532 scopus 로고    scopus 로고
    • Emplacement conditions of igneous dikes in Ethiopian Traps
    • Schultz RA, Mège D, Diot H (2008b) Emplacement conditions of igneous dikes in Ethiopian Traps. J Volc Geotherm Res 178(4): 683-692.
    • (2008) J Volc Geotherm Res , vol.178 , Issue.4 , pp. 683-692
    • Schultz, R.A.1    Mège, D.2    Diot, H.3
  • 50
    • 85024531353 scopus 로고
    • On singular character of thermal stresses near a crack tip
    • Sih GC (1962) On singular character of thermal stresses near a crack tip. J Appl Mech 29: 587.
    • (1962) J Appl Mech , vol.29 , pp. 587
    • Sih, G.C.1
  • 53
    • 0033544995 scopus 로고    scopus 로고
    • Fluid flow in discrete joint sets: Field observations and numerical simulations
    • Taylor WL, Pollard DD, Aydin A (1999) Fluid flow in discrete joint sets: field observations and numerical simulations. J Geophys Res 104: 28983-29006.
    • (1999) J Geophys Res , vol.104 , pp. 28983-29006
    • Taylor, W.L.1    Pollard, D.D.2    Aydin, A.3
  • 55
    • 0019677557 scopus 로고
    • Hydromechanical behavior of a deformable rock fracture subject to normal stress
    • Tsang YW, Witherspoon PA (1981) Hydromechanical behavior of a deformable rock fracture subject to normal stress. J Geophys Res 86: 9287-9298.
    • (1981) J Geophys Res , vol.86 , pp. 9287-9298
    • Tsang, Y.W.1    Witherspoon, P.A.2
  • 56
    • 0028828873 scopus 로고
    • Relation between vein length and aperture
    • Vermilye JM, Scholz CH (1995) Relation between vein length and aperture. J Struct Geol 17: 423-434.
    • (1995) J Struct Geol , vol.17 , pp. 423-434
    • Vermilye, J.M.1    Scholz, C.H.2
  • 58
    • 49449118874 scopus 로고    scopus 로고
    • Determination of aperture structure and fluid flow in a rock fracture by high-resolution numerical modeling on the basis of a flow-through experiment under confining pressure
    • Watanabe N, Hirano N, Tsuchia N (2008) Determination of aperture structure and fluid flow in a rock fracture by high-resolution numerical modeling on the basis of a flow-through experiment under confining pressure. Water Resour Res 44, W06412. doi:10.1029/2006WR005411.
    • (2008) Water Resour Res , vol.44
    • Watanabe, N.1    Hirano, N.2    Tsuchia, N.3
  • 59
    • 0018955124 scopus 로고
    • Validity of cubic law for fluid flow in a deformable rock fracture
    • Witherspoon PA, Wang JSY, Iwai K, Gale JE (1980) Validity of cubic law for fluid flow in a deformable rock fracture. Water Resour Res 16: 1016-1024.
    • (1980) Water Resour Res , vol.16 , pp. 1016-1024
    • Witherspoon, P.A.1    Wang, J.S.Y.2    Iwai, K.3    Gale, J.E.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.