메뉴 건너뛰기




Volumn 41, Issue 13, 2014, Pages 4578-4585

Assessment of the validity of Stokes and Reynolds equations for fluid flow through a rough-walled fracture with flow imaging

Author keywords

Reynolds equation; rough walled fractures; Stokes equation; validity

Indexed keywords

CARBON DIOXIDE; FLOW RATE; FRACTURE; GEOTHERMAL FIELDS; NAVIER STOKES EQUATIONS; RADIOACTIVE WASTES; REYNOLDS NUMBER;

EID: 84923014990     PISSN: 00948276     EISSN: 19448007     Source Type: Journal    
DOI: 10.1002/2014GL060481     Document Type: Article
Times cited : (111)

References (24)
  • 1
    • 34248506555 scopus 로고    scopus 로고
    • Trapping zones: The effect of fracture roughness on the directional anisotropy of fluid flow and colloid transport in a single fracture
    • doi: 10.1029/2006GL027275.
    • Boutt, D. F., G. Grasselli, J. T. Fredrich, B. K. Cook, and, J. R. Williams, (2006), Trapping zones: The effect of fracture roughness on the directional anisotropy of fluid flow and colloid transport in a single fracture, Geophys. Res. Lett., 33, L21402, doi: 10.1029/2006GL027275.
    • (2006) Geophys. Res. Lett. , vol.33
    • Boutt, D.F.1    Grasselli, G.2    Fredrich, J.T.3    Cook, B.K.4    Williams, J.R.5
  • 2
    • 0023488636 scopus 로고
    • Fluid flow through rock joints: The effect of surface roughness
    • doi: 10.1029/JB092iB02p01337.
    • Brown, S. R., (1987), Fluid flow through rock joints: The effect of surface roughness, J. Geophys. Res., 92 (B2), 1337-1347, doi: 10.1029/JB092iB02p01337.
    • (1987) J. Geophys. Res. , vol.92 , Issue.B2 , pp. 1337-1347
    • Brown, S.R.1
  • 3
    • 17044442243 scopus 로고    scopus 로고
    • Fluid flow in synthetic rough-walled fractures: Navier-Stokes, Stokes, and local cubic law simulations
    • doi: 10.1029/2002WR001346.
    • Brush, D. J., and, N. R. Thomson, (2003), Fluid flow in synthetic rough-walled fractures: Navier-Stokes, Stokes, and local cubic law simulations, Water Resour. Res., 39 (4), 1085, doi: 10.1029/2002WR001346.
    • (2003) Water Resour. Res. , vol.39 , Issue.4 , pp. 1085
    • Brush, D.J.1    Thomson, N.R.2
  • 4
    • 34548598760 scopus 로고    scopus 로고
    • Navier-Stokes flow and transport simulations using real fractures shows heavy tailing due to eddies
    • doi: 10.1029/2007GL030545.
    • Cardenas, M. B., D. T. Slottke, R. A. Ketcham, and, J. M. Sharp Jr., (2007), Navier-Stokes flow and transport simulations using real fractures shows heavy tailing due to eddies, Geophys. Res. Lett., 34, L14404, doi: 10.1029/2007GL030545.
    • (2007) Geophys. Res. Lett. , vol.34
    • Cardenas, M.B.1    Slottke, D.T.2    Ketcham, R.A.3    Sharp Jr., J.M.4
  • 5
    • 70349429819 scopus 로고    scopus 로고
    • Effects of inertia and directionality on flow and transport in a rough asymmetric fracture
    • doi: 10.1029/2009JB006336.
    • Cardenas, M. B., D. T. Slottke, R. A. Ketcham, and, J. M. Sharp Jr., (2009), Effects of inertia and directionality on flow and transport in a rough asymmetric fracture, J. Geophys. Res., 114, B06204, doi: 10.1029/2009JB006336.
    • (2009) J. Geophys. Res. , vol.114
    • Cardenas, M.B.1    Slottke, D.T.2    Ketcham, R.A.3    Sharp Jr., J.M.4
  • 6
    • 84855414376 scopus 로고    scopus 로고
    • The role of eddies inside pores in the transition from Darcy to Forchheimer flows
    • doi: 10.1029/2011GL050214.
    • Chaudhary, K., M. B. Cardenas, W. Deng, and, P. C. Bennett, (2011), The role of eddies inside pores in the transition from Darcy to Forchheimer flows, Geophys. Res. Lett., 38, L24405, doi: 10.1029/2011GL050214.
    • (2011) Geophys. Res. Lett. , vol.38
    • Chaudhary, K.1    Cardenas, M.B.2    Deng, W.3    Bennett, P.C.4
  • 7
    • 84876539184 scopus 로고    scopus 로고
    • Pore geometry effects on intrapore viscous to inertial flows and on effective hydraulic parameters
    • doi: 10.1002/wrcr.20099.
    • Chaudhary, K., M. B. Cardenas, W. Deng, and, P. C. Bennett, (2013), Pore geometry effects on intrapore viscous to inertial flows and on effective hydraulic parameters, Water Resour. Res., 49, doi: 10.1002/wrcr.20099.
    • (2013) Water Resour. Res. , vol.49
    • Chaudhary, K.1    Cardenas, M.B.2    Deng, W.3    Bennett, P.C.4
  • 8
    • 0030996132 scopus 로고    scopus 로고
    • A governing equation for fluid flow in rough fractures
    • doi: 10.1029/96WR02588.
    • Ge, S., (1997), A governing equation for fluid flow in rough fractures, Water Resour. Res., 33 (1), 53-61, doi: 10.1029/96WR02588.
    • (1997) Water Resour. Res. , vol.33 , Issue.1 , pp. 53-61
    • Ge, S.1
  • 9
    • 35548990181 scopus 로고    scopus 로고
    • Numerical study of flow anisotropy within a single natural rock joint
    • doi: 10.1016/j.ijrmms.2007.04.007.
    • Giacomini, A., O. Buzzi, A. Ferrero, M. Migliazza, and, G. Giani, (2008), Numerical study of flow anisotropy within a single natural rock joint, Int. J. Rock Mech. Min. Sci., 45 (1), 47-58, doi: 10.1016/j.ijrmms.2007.04.007.
    • (2008) Int. J. Rock Mech. Min. Sci. , vol.45 , Issue.1 , pp. 47-58
    • Giacomini, A.1    Buzzi, O.2    Ferrero, A.3    Migliazza, M.4    Giani, G.5
  • 10
    • 0030158953 scopus 로고    scopus 로고
    • Aperture measurements and flow experiments on a single natural fracture
    • doi: 10.1016/0148-9062(95)00070-4.
    • Hakami, E., and, E. Larsson, (1996), Aperture measurements and flow experiments on a single natural fracture, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 33 (4), 395-404, doi: 10.1016/0148-9062(95)00070-4.
    • (1996) Int. J. Rock Mech. Min. Sci. Geomech. Abstr. , vol.33 , Issue.4 , pp. 395-404
    • Hakami, E.1    Larsson, E.2
  • 11
    • 1642305659 scopus 로고    scopus 로고
    • Evaluation of cubic law based models describing single-phase flow through a rough-walled fracture
    • doi: 10.1029/2003WR002356.
    • Konzuk, J. S., and, B. H. Kueper, (2004), Evaluation of cubic law based models describing single-phase flow through a rough-walled fracture, Water Resour. Res., 40, W02402, doi: 10.1029/2003WR002356.
    • (2004) Water Resour. Res. , vol.40
    • Konzuk, J.S.1    Kueper, B.H.2
  • 12
    • 43449136794 scopus 로고    scopus 로고
    • A numerical study on differences in using Navier-Stokes and Reynolds equations for modeling the fluid flow and particle transport in single rock fractures with shear
    • doi: 10.1016/j.ijrmms.2007.11.006.
    • Koyama, T., I. Neretnieks, and, L. Jing, (2008), A numerical study on differences in using Navier-Stokes and Reynolds equations for modeling the fluid flow and particle transport in single rock fractures with shear, Int. J. Rock. Mech. Min. Sci., 45 (7), 1082-1101, doi: 10.1016/j.ijrmms.2007.11.006.
    • (2008) Int. J. Rock. Mech. Min. Sci. , vol.45 , Issue.7 , pp. 1082-1101
    • Koyama, T.1    Neretnieks, I.2    Jing, L.3
  • 13
    • 30344442444 scopus 로고    scopus 로고
    • MicroPIV measurements of turbulent flow in square microchannels with hydraulic diameters from 200 μm to 640 μm
    • doi: 10.1016/j.ijheatfluidflow.2005.02.003.
    • Li, H., and, M. Olsen, (2006), MicroPIV measurements of turbulent flow in square microchannels with hydraulic diameters from 200 μm to 640 μm, Int. J. Heat Fluid Flow, 27 (1), 123-134, doi: 10.1016/j.ijheatfluidflow.2005.02.003.
    • (2006) Int. J. Heat Fluid Flow , vol.27 , Issue.1 , pp. 123-134
    • Li, H.1    Olsen, M.2
  • 14
    • 77955585769 scopus 로고    scopus 로고
    • An improved two-dimensional depth-integrated flow equation for rough-walled fractures
    • doi: 10.1029/2009WR008779.
    • Mallikamas, W., and, H. Rajaram, (2010), An improved two-dimensional depth-integrated flow equation for rough-walled fractures, Water Resour. Res., 46, W08506, doi: 10.1029/2009WR008779.
    • (2010) Water Resour. Res. , vol.46
    • Mallikamas, W.1    Rajaram, H.2
  • 15
    • 0032742223 scopus 로고    scopus 로고
    • Saturated flow in a single fracture: Evaluation of the Reynolds Equation in measured aperture fields
    • doi: 10.1029/1999WR900241.
    • Nicholl, M. J., H. Rajaram, R. J. Glass, and, R. Detwiler, (1999), Saturated flow in a single fracture: Evaluation of the Reynolds Equation in measured aperture fields, Water. Resour. Res., 35 (11), 3361-3373, doi: 10.1029/1999WR900241.
    • (1999) Water. Resour. Res. , vol.35 , Issue.11 , pp. 3361-3373
    • Nicholl, M.J.1    Rajaram, H.2    Glass, R.J.3    Detwiler, R.4
  • 16
    • 0031761445 scopus 로고    scopus 로고
    • Flow in rock fractures: The local cubic law assumption reexamined
    • doi: 10.1029/98WR02285.
    • Oron, A. P., and, B. Berkowitz, (1998), Flow in rock fractures: The local cubic law assumption reexamined, Water Resour. Res., 34 (11), 2811-2825, doi: 10.1029/98WR02285.
    • (1998) Water Resour. Res. , vol.34 , Issue.11 , pp. 2811-2825
    • Oron, A.P.1    Berkowitz, B.2
  • 17
    • 79551498879 scopus 로고    scopus 로고
    • Experimental study of the effect of roughness and Reynolds number on fluid flow in rough-walled single fractures: A check of local cubic law
    • doi: 10.1002/hyp.7849.
    • Qian, J., Z. Chen, H. Zhan, and, H. Huan, (2011), Experimental study of the effect of roughness and Reynolds number on fluid flow in rough-walled single fractures: a check of local cubic law, Hydrol. Process., 25, 614-622, doi: 10.1002/hyp.7849.
    • (2011) Hydrol. Process. , vol.25 , pp. 614-622
    • Qian, J.1    Chen, Z.2    Zhan, H.3    Huan, H.4
  • 18
    • 84867222040 scopus 로고    scopus 로고
    • Eddy correlations for water flow in a single fracture with abruptly changing aperture
    • doi: 10.1002/hyp.8332.
    • Qian, J., M. Liang, Z. Chen, and, H. Zhan, (2012), Eddy correlations for water flow in a single fracture with abruptly changing aperture, Hydrol. Process., 26, 3369-3377, doi: 10.1002/hyp.8332.
    • (2012) Hydrol. Process. , vol.26 , pp. 3369-3377
    • Qian, J.1    Liang, M.2    Chen, Z.3    Zhan, H.4
  • 19
    • 0034353162 scopus 로고    scopus 로고
    • Measuring fracture apertures: A comparison of methods
    • doi: 10.1029/1999GL008384.
    • Renshaw, C. E., J. S. Dadakis, and, S. R. Brown, (2000), Measuring fracture apertures: A comparison of methods, Geophys. Res. Lett., 27 (2), 289-292, doi: 10.1029/1999GL008384.
    • (2000) Geophys. Res. Lett. , vol.27 , Issue.2 , pp. 289-292
    • Renshaw, C.E.1    Dadakis, J.S.2    Brown, S.R.3
  • 20
    • 0032436945 scopus 로고    scopus 로고
    • Effect of shear displacement on the aperture and permeability of a rock fracture
    • doi: 10.1016/S0148-9062(98)00165-X.
    • Yeo, I. W., M. H. de Freitas, and, R. W. Zimmerman, (1998), Effect of shear displacement on the aperture and permeability of a rock fracture, Int. J. Rock Mech. Min. Sci., 35 (8), 1051-1070, doi: 10.1016/S0148-9062(98)00165-X.
    • (1998) Int. J. Rock Mech. Min. Sci. , vol.35 , Issue.8 , pp. 1051-1070
    • Yeo, I.W.1    De Freitas, M.H.2    Zimmerman, R.W.3
  • 21
    • 43049160698 scopus 로고    scopus 로고
    • Measurement of velocity profiles in a rectangular microchannel with aspect ratio α = 0.35
    • doi: 10.1007/s00348-007-0454-4.
    • Zheng, X., and, Z. Silber-Li, (2008), Measurement of velocity profiles in a rectangular microchannel with aspect ratio α = 0.35, Exp. Fluids, 44 (6), 951-959, doi: 10.1007/s00348-007-0454-4.
    • (2008) Exp. Fluids , vol.44 , Issue.6 , pp. 951-959
    • Zheng, X.1    Silber-Li, Z.2
  • 22
    • 0030470145 scopus 로고    scopus 로고
    • Hydraulic conductivity of rock fractures
    • doi: 10.1007/BF00145263.
    • Zimmerman, R. W., and, G. S. Bodvarsson, (1996), Hydraulic conductivity of rock fractures, Transp. Porous Media, 23 (1), 1-30, doi: 10.1007/BF00145263.
    • (1996) Transp. Porous Media , vol.23 , Issue.1 , pp. 1-30
    • Zimmerman, R.W.1    Bodvarsson, G.S.2
  • 23
    • 84964502345 scopus 로고    scopus 로고
    • Fluid flow in rock fractures: From the Navier-Stokes equations to the cubic law
    • Geophys. Monogr. Ser., 122, edited by B. Faybishenko, P. A. Witherspoon, and S. M. Benson, AGU, Washington, D. C. doi: 10.1029/GM122p0213
    • Zimmerman, R. W., and, I.-W. Yeo, (2000), Fluid flow in rock fractures: From the Navier-Stokes equations to the cubic law, in Dynamics of Fluids in Fractured Rock, Geophys. Monogr. Ser., vol. 122, edited by, B. Faybishenko, P. A. Witherspoon, and, S. M. Benson, pp. 213-224, AGU, Washington, D. C., doi: 10.1029/GM122p0213
    • (2000) Dynamics of Fluids in Fractured Rock , pp. 213-224
    • Zimmerman, R.W.1    Yeo, I.-W.2
  • 24
    • 3042826336 scopus 로고    scopus 로고
    • Non-linear regimes of fluid flow in rock fractures
    • doi: 10.1016/j.ijrmms.2004.03.036.
    • Zimmerman, R. W., A. Al-Yaarubi, C. C. Pain, and, C. A. Grattoni, (2004), Non-linear regimes of fluid flow in rock fractures, Int. J. Rock Mech. Min. Sci., 41 (3), 163-169, doi: 10.1016/j.ijrmms.2004.03.036.
    • (2004) Int. J. Rock Mech. Min. Sci. , vol.41 , Issue.3 , pp. 163-169
    • Zimmerman, R.W.1    Al-Yaarubi, A.2    Pain, C.C.3    Grattoni, C.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.