메뉴 건너뛰기




Volumn 231, Issue 17, 2012, Pages 5653-5668

Modelling two-phase flow in porous media at the pore scale using the volume-of-fluid method

Author keywords

Pore scale modelling; Porous media; Two phase flow; Volume of fluid

Indexed keywords

CAPILLARITY; CAPILLARY TUBES; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; TWO PHASE FLOW;

EID: 84862882169     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2012.04.011     Document Type: Article
Times cited : (457)

References (55)
  • 2
    • 0026203986 scopus 로고
    • Relative permeabilities from two- and three-dimensional pore-scale network modelling
    • Blunt M., King P. Relative permeabilities from two- and three-dimensional pore-scale network modelling. Transp. Porous Med. 1991, 6(4):407-433.
    • (1991) Transp. Porous Med. , vol.6 , Issue.4 , pp. 407-433
    • Blunt, M.1    King, P.2
  • 3
    • 0000143908 scopus 로고
    • Prediction of relative permeability in simple porous media
    • Bryant S., Blunt M. Prediction of relative permeability in simple porous media. Phys. Rev. A 1992, 46(4):2004-2011.
    • (1992) Phys. Rev. A , vol.46 , Issue.4 , pp. 2004-2011
    • Bryant, S.1    Blunt, M.2
  • 4
    • 0031165394 scopus 로고    scopus 로고
    • 3-D pore-scale modelling of sandstones and flow simulations in the pore networks
    • Bakke S., Øren P. 3-D pore-scale modelling of sandstones and flow simulations in the pore networks. SPE J. 1997, 2(2):136-149.
    • (1997) SPE J. , vol.2 , Issue.2 , pp. 136-149
    • Bakke, S.1    Øren, P.2
  • 5
    • 0041339700 scopus 로고    scopus 로고
    • Reconstruction of berea sandstone and pore-scale modelling of wettability effects
    • Øren P., Bakke S. Reconstruction of berea sandstone and pore-scale modelling of wettability effects. J. Petrol. Sci. Eng. 2003, 39(3-4):177-199.
    • (2003) J. Petrol. Sci. Eng. , vol.39 , Issue.3-4 , pp. 177-199
    • Øren, P.1    Bakke, S.2
  • 6
    • 41349089472 scopus 로고    scopus 로고
    • Dynamic network modeling of two-phase drainage in porous media
    • (January 2004)
    • Al-Gharbi M.S., Blunt M.J. Dynamic network modeling of two-phase drainage in porous media. Phys. Rev. E 2005, 1-16. (January 2004).
    • (2005) Phys. Rev. E , pp. 1-16
    • Al-Gharbi, M.S.1    Blunt, M.J.2
  • 7
    • 84891577661 scopus 로고    scopus 로고
    • Three-dimensional mixed-wet random pore-scale network modeling of two- and three-phase flow in porous media. I. Model description
    • Piri M., Blunt M.J. Three-dimensional mixed-wet random pore-scale network modeling of two- and three-phase flow in porous media. I. Model description. Phys. Rev. E 2005, 71(2):26301.
    • (2005) Phys. Rev. E , vol.71 , Issue.2 , pp. 26301
    • Piri, M.1    Blunt, M.J.2
  • 8
    • 13844321293 scopus 로고    scopus 로고
    • Predictive pore-scale modeling of single and multiphase flow
    • Valvatne P.H., Piri M., Lopez X., Blunt M.J. Predictive pore-scale modeling of single and multiphase flow. Transp. Porous Med. 2005, 58(1):23-41.
    • (2005) Transp. Porous Med. , vol.58 , Issue.1 , pp. 23-41
    • Valvatne, P.H.1    Piri, M.2    Lopez, X.3    Blunt, M.J.4
  • 9
    • 0035504757 scopus 로고    scopus 로고
    • Numerical investigations of the steady state relative permeability of a simplified porous medium
    • Langaas K., Papatzacos P. Numerical investigations of the steady state relative permeability of a simplified porous medium. Transp. Porous Med. 2001, 45(2):241-266.
    • (2001) Transp. Porous Med. , vol.45 , Issue.2 , pp. 241-266
    • Langaas, K.1    Papatzacos, P.2
  • 10
    • 1642271800 scopus 로고    scopus 로고
    • Lattice-Boltzmann simulation of two-phase flow in porous media
    • Pan C., Hilpert M., Miller C.T. Lattice-Boltzmann simulation of two-phase flow in porous media. Water Resour. Res. 2004, 40(1):W01501.
    • (2004) Water Resour. Res. , vol.40 , Issue.1
    • Pan, C.1    Hilpert, M.2    Miller, C.T.3
  • 11
    • 27244434179 scopus 로고    scopus 로고
    • Pore-scale investigation of viscous coupling effects for two-phase flow in porous media
    • Li H., Pan C., Miller C.T. Pore-scale investigation of viscous coupling effects for two-phase flow in porous media. Phys. Rev. E 2005, 72(2):026705.
    • (2005) Phys. Rev. E , vol.72 , Issue.2 , pp. 026705
    • Li, H.1    Pan, C.2    Miller, C.T.3
  • 12
    • 50349099156 scopus 로고    scopus 로고
    • Prediction of capillary hysteresis in a porous material using lattice-Boltzmann methods and comparison to experimental data and a morphological pore network model
    • Ahrenholz B., Tolke J., Lehmann P., Peters A., Kaestner A., Krafczyk M., Durner W. Prediction of capillary hysteresis in a porous material using lattice-Boltzmann methods and comparison to experimental data and a morphological pore network model. Adv. Water Resour. 2008, 31(9):1151-1173.
    • (2008) Adv. Water Resour. , vol.31 , Issue.9 , pp. 1151-1173
    • Ahrenholz, B.1    Tolke, J.2    Lehmann, P.3    Peters, A.4    Kaestner, A.5    Krafczyk, M.6    Durner, W.7
  • 13
    • 70349948852 scopus 로고    scopus 로고
    • Lattice-Boltzmann simulations of the capillary pressure-saturation-interfacial area relationship for porous media
    • Porter M.L., Schaap M.G., Wildenschild D. Lattice-Boltzmann simulations of the capillary pressure-saturation-interfacial area relationship for porous media. Adv. Water Resour. 2009, 32(11):1632-1640.
    • (2009) Adv. Water Resour. , vol.32 , Issue.11 , pp. 1632-1640
    • Porter, M.L.1    Schaap, M.G.2    Wildenschild, D.3
  • 14
    • 81555214123 scopus 로고    scopus 로고
    • Pore-scale study of capillary trapping mechanism during CO2 injection in geological formations
    • Bandara U.C., Tartakovsky A.M., Palmer B.J. Pore-scale study of capillary trapping mechanism during CO2 injection in geological formations. Int. J. Greenh. Gas Con. 2011, 5(6):1566-1577.
    • (2011) Int. J. Greenh. Gas Con. , vol.5 , Issue.6 , pp. 1566-1577
    • Bandara, U.C.1    Tartakovsky, A.M.2    Palmer, B.J.3
  • 15
    • 33749423901 scopus 로고    scopus 로고
    • Pore scale modeling of immiscible and miscible fluid flows using smoothed particle hydrodynamics
    • Tartakovsky A.M., Meakin P. Pore scale modeling of immiscible and miscible fluid flows using smoothed particle hydrodynamics. Adv. Water Resour. 2006, 29(10):1464-1478.
    • (2006) Adv. Water Resour. , vol.29 , Issue.10 , pp. 1464-1478
    • Tartakovsky, A.M.1    Meakin, P.2
  • 16
    • 35748981200 scopus 로고    scopus 로고
    • Pore-scale simulations of drainage of heterogeneous and anisotropic porous media
    • Tartakovsky A.M., Ward A.L., Meakin P. Pore-scale simulations of drainage of heterogeneous and anisotropic porous media. Phys. Fluids 2007, 19(10):103301.
    • (2007) Phys. Fluids , vol.19 , Issue.10 , pp. 103301
    • Tartakovsky, A.M.1    Ward, A.L.2    Meakin, P.3
  • 17
    • 67650286631 scopus 로고    scopus 로고
    • Simulation of the interplay between resident and infiltrating water in partially saturated porous media
    • Gouet-Kaplan M., Tartakovsky A., Berkowitz B. Simulation of the interplay between resident and infiltrating water in partially saturated porous media. Water Resour. Res. 2009, 45:W05416.
    • (2009) Water Resour. Res. , vol.45
    • Gouet-Kaplan, M.1    Tartakovsky, A.2    Berkowitz, B.3
  • 18
    • 31444446172 scopus 로고    scopus 로고
    • Computer simulation of two-phase immiscible fluid motion in unsaturated complex fractures using a volume of fluid method
    • Huang H., Meakin P., Liu M.B. Computer simulation of two-phase immiscible fluid motion in unsaturated complex fractures using a volume of fluid method. Water Resour. Res. 2005, 41(12):W12413.
    • (2005) Water Resour. Res. , vol.41 , Issue.12
    • Huang, H.1    Meakin, P.2    Liu, M.B.3
  • 19
    • 78249242269 scopus 로고    scopus 로고
    • Modeling and simulation of pore-scale multiphase fluid flow and reactive transport in fractured and porous media
    • Meakin P., Tartakovsky A.M. Modeling and simulation of pore-scale multiphase fluid flow and reactive transport in fractured and porous media. Rev. Geophys. 2009, 47:RG3002.
    • (2009) Rev. Geophys. , vol.47
    • Meakin, P.1    Tartakovsky, A.M.2
  • 20
    • 0019367877 scopus 로고
    • Volume of fluid (VOF) method for the dynamics of free boundaries
    • Hirt C.W., Nichols B.D. Volume of fluid (VOF) method for the dynamics of free boundaries. J. Comput. Phys. 1981, 39(1):201-225.
    • (1981) J. Comput. Phys. , vol.39 , Issue.1 , pp. 201-225
    • Hirt, C.W.1    Nichols, B.D.2
  • 21
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • Unverdi S., Tryggvason G. A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comput. Phys. 1992, 100(1):25-37.
    • (1992) J. Comput. Phys. , vol.100 , Issue.1 , pp. 25-37
    • Unverdi, S.1    Tryggvason, G.2
  • 22
    • 0033618513 scopus 로고    scopus 로고
    • A front-tracking algorithm for accurate representation of surface tension
    • Popinet S., Zaleski S. A front-tracking algorithm for accurate representation of surface tension. Int. J. Numer. Methods Fluids 1999, 30(6):775-793.
    • (1999) Int. J. Numer. Methods Fluids , vol.30 , Issue.6 , pp. 775-793
    • Popinet, S.1    Zaleski, S.2
  • 23
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
    • Harlow F.H., Welch J.E. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 1965, 8(12):2182.
    • (1965) Phys. Fluids , vol.8 , Issue.12 , pp. 2182
    • Harlow, F.H.1    Welch, J.E.2
  • 24
    • 36849113769 scopus 로고
    • Numerical study of two fluid Rayleigh-Taylor instability
    • Daly B.J. Numerical study of two fluid Rayleigh-Taylor instability. Phys. Fluids 1967, 10(2):297.
    • (1967) Phys. Fluids , vol.10 , Issue.2 , pp. 297
    • Daly, B.J.1
  • 25
    • 0002056818 scopus 로고    scopus 로고
    • A method for capturing sharp fluid interfaces on arbitrary meshes
    • Ubbink O., Issa R.I. A method for capturing sharp fluid interfaces on arbitrary meshes. J. Comput. Phys. 1999, 153(1):26-50.
    • (1999) J. Comput. Phys. , vol.153 , Issue.1 , pp. 26-50
    • Ubbink, O.1    Issa, R.I.2
  • 26
    • 28144444111 scopus 로고
    • A level set approach for computing solutions to incompressible two-phase flow
    • Sussman M., Smereka P., Osher S. A level set approach for computing solutions to incompressible two-phase flow. J. Comput. Phys. 1994, 114(1):146-159.
    • (1994) J. Comput. Phys. , vol.114 , Issue.1 , pp. 146-159
    • Sussman, M.1    Smereka, P.2    Osher, S.3
  • 27
    • 33751240088 scopus 로고    scopus 로고
    • A level set method for determining critical curvatures for drainage and imbibition
    • Prodanović M., Bryant S.L. A level set method for determining critical curvatures for drainage and imbibition. J. Colloid Interf. Sci. 2006, 304(2):442-458.
    • (2006) J. Colloid Interf. Sci. , vol.304 , Issue.2 , pp. 442-458
    • Prodanović, M.1    Bryant, S.L.2
  • 28
    • 0030413267 scopus 로고    scopus 로고
    • Investigations of a two-phase fluid model
    • Nadiga B.T., Zaleski S. Investigations of a two-phase fluid model. Eur. J. Mech. B-Fluid 1996, 15(6):885-896.
    • (1996) Eur. J. Mech. B-Fluid , vol.15 , Issue.6 , pp. 885-896
    • Nadiga, B.T.1    Zaleski, S.2
  • 29
    • 0002521331 scopus 로고    scopus 로고
    • Calculation of two-phase Navier-Stokes flows using phase-field modeling
    • Jacqmin D. Calculation of two-phase Navier-Stokes flows using phase-field modeling. J. Comput. Phys. 1999, 155(1):96-127.
    • (1999) J. Comput. Phys. , vol.155 , Issue.1 , pp. 96-127
    • Jacqmin, D.1
  • 30
    • 0346207426 scopus 로고    scopus 로고
    • Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows
    • Gueyffier D., Li J., Nadim A., Scardovelli R., Zaleski S. Volume-of-fluid interface tracking with smoothed surface stress methods for three-dimensional flows. J. Comput. Phys. 1999, 152(2):423-456.
    • (1999) J. Comput. Phys. , vol.152 , Issue.2 , pp. 423-456
    • Gueyffier, D.1    Li, J.2    Nadim, A.3    Scardovelli, R.4    Zaleski, S.5
  • 32
    • 28144462923 scopus 로고
    • A continuum method for modeling surface tension
    • Brackbill J.U., Kothe D.B., Zemach C. A continuum method for modeling surface tension. J. Comput. Phys. 1992, 100(2):335-354.
    • (1992) J. Comput. Phys. , vol.100 , Issue.2 , pp. 335-354
    • Brackbill, J.U.1    Kothe, D.B.2    Zemach, C.3
  • 33
    • 0037059250 scopus 로고    scopus 로고
    • PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method
    • Renardy Y., Renardy M. PROST: a parabolic reconstruction of surface tension for the volume-of-fluid method. J. Comput. Phys. 2002, 421:400-421.
    • (2002) J. Comput. Phys. , vol.421 , pp. 400-421
    • Renardy, Y.1    Renardy, M.2
  • 34
    • 31844439128 scopus 로고    scopus 로고
    • A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework
    • Francois M.M., Cummins S.J., Dendy E.D., Kothe D.B., Sicilian J.M., Williams M.W. A balanced-force algorithm for continuous and sharp interfacial surface tension models within a volume tracking framework. J. Comput. Phys. 2006, 213:141-173.
    • (2006) J. Comput. Phys. , vol.213 , pp. 141-173
    • Francois, M.M.1    Cummins, S.J.2    Dendy, E.D.3    Kothe, D.B.4    Sicilian, J.M.5    Williams, M.W.6
  • 35
    • 85190789023 scopus 로고    scopus 로고
    • Dynamical modeling of surface tension, INIS; OSTI as DE96011301, Cleveland, OH, United States
    • J.U. Brackbill, D.B. Kothe, Dynamical modeling of surface tension, INIS; OSTI as DE96011301, Cleveland, OH, United States, 1996, pp. 13-15.
    • (1996) , pp. 13-15
    • Brackbill, J.U.1    Kothe, D.B.2
  • 36
    • 0009644862 scopus 로고    scopus 로고
    • Accuracy and Convergence of Continuum Surface Tension Models
    • Cambridge University Press, Cambridge
    • Williams M.W., Kothe D.B., Puckett E.G. Accuracy and Convergence of Continuum Surface Tension Models. Fluid Dynamics at Interfaces 1998, Cambridge University Press, Cambridge.
    • (1998) Fluid Dynamics at Interfaces
    • Williams, M.W.1    Kothe, D.B.2    Puckett, E.G.3
  • 37
    • 74449086791 scopus 로고    scopus 로고
    • Numerical simulation of static and sliding drop with contact angle hysteresis
    • Dupont J.B., Legendre D. Numerical simulation of static and sliding drop with contact angle hysteresis. J. Comput. Phys. 2010, 229(7):2453-2478.
    • (2010) J. Comput. Phys. , vol.229 , Issue.7 , pp. 2453-2478
    • Dupont, J.B.1    Legendre, D.2
  • 39
    • 0033489545 scopus 로고    scopus 로고
    • Direct numerical simulation of free-surface and interfacial flow
    • Scardovelli R., Zaleski S. Direct numerical simulation of free-surface and interfacial flow. Ann. Rev. Fluid Mech. 1999, 31(1):567-603.
    • (1999) Ann. Rev. Fluid Mech. , vol.31 , Issue.1 , pp. 567-603
    • Scardovelli, R.1    Zaleski, S.2
  • 40
    • 85190754782 scopus 로고    scopus 로고
    • Computational fluid dynamics of dispersed two-phase flows at high phase fractions, Ph.D. thesis, Imperial College London
    • H. Rusche, Computational fluid dynamics of dispersed two-phase flows at high phase fractions, Ph.D. thesis, Imperial College London, 2002.
    • (2002)
    • Rusche, H.1
  • 41
    • 0014995788 scopus 로고
    • Hydrodynamic model of steady movement of a solid/liquid/fluid contact line
    • Huh C., Scriven L.E. Hydrodynamic model of steady movement of a solid/liquid/fluid contact line. J. Colloid Interf. Sci. 1971, 35(1):85-101.
    • (1971) J. Colloid Interf. Sci. , vol.35 , Issue.1 , pp. 85-101
    • Huh, C.1    Scriven, L.E.2
  • 42
    • 33646889768 scopus 로고    scopus 로고
    • The physics of moving wetting lines
    • Blake T.D. The physics of moving wetting lines. J. Colloid Interf. Sci. 2006, 299(1):1-13.
    • (2006) J. Colloid Interf. Sci. , vol.299 , Issue.1 , pp. 1-13
    • Blake, T.D.1
  • 43
    • 18844405462 scopus 로고    scopus 로고
    • A level-set approach for simulations of flows with multiple moving contact lines with hysteresis
    • Spelt P.D.M. A level-set approach for simulations of flows with multiple moving contact lines with hysteresis. J. Comput. Phys. 2005, 207(2):389-404.
    • (2005) J. Comput. Phys. , vol.207 , Issue.2 , pp. 389-404
    • Spelt, P.D.M.1
  • 44
    • 0001532298 scopus 로고    scopus 로고
    • Numerical simulation of moving contact line problems using a volume-of-fluid method
    • Renardy M., Renardy Y., Li J. Numerical simulation of moving contact line problems using a volume-of-fluid method. J. Comput. Phys. 2001, 263:243-263.
    • (2001) J. Comput. Phys. , vol.263 , pp. 243-263
    • Renardy, M.1    Renardy, Y.2    Li, J.3
  • 45
    • 85190796247 scopus 로고    scopus 로고
    • OpenFOAM, The open source CFD toolbox, Web. 25, June
    • OpenFOAM, The open source CFD toolbox, Web. 25, June 2010. http://www.openfoam.com.
    • (2010)
  • 46
    • 85190754820 scopus 로고    scopus 로고
    • Error analysis and estimation for the finite volume method with applications to fluid flows, Ph.D. thesis, Imperial College London
    • H. Jasak, Error analysis and estimation for the finite volume method with applications to fluid flows, Ph.D. thesis, Imperial College London, 1996.
    • (1996)
    • Jasak, H.1
  • 47
    • 85190802322 scopus 로고    scopus 로고
    • Numerical prediction of two fluid systems with sharp interfaces, Ph.D. thesis
    • O. Ubbink, Numerical prediction of two fluid systems with sharp interfaces, Ph.D. thesis, 1997.
    • (1997)
    • Ubbink, O.1
  • 49
    • 33044504607 scopus 로고
    • A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows
    • Patankar S.V., Spalding D.B. A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Int. J. Heat Mass Transf. 1972, 15(10):1787-1806.
    • (1972) Int. J. Heat Mass Transf. , vol.15 , Issue.10 , pp. 1787-1806
    • Patankar, S.V.1    Spalding, D.B.2
  • 50
    • 46149142859 scopus 로고
    • Solution of the implicitly discretised fluid flow equations by operator-splitting
    • Issa R.I. Solution of the implicitly discretised fluid flow equations by operator-splitting. J. Comput. Phys. 1986, 62(1):40-65.
    • (1986) J. Comput. Phys. , vol.62 , Issue.1 , pp. 40-65
    • Issa, R.I.1
  • 51
    • 0003908527 scopus 로고
    • Ber die partiellen differenzengleichungen der mathematischen physik
    • Courant R., Friedrichs K., Lewy H. ber die partiellen differenzengleichungen der mathematischen physik. Math. Ann. 1928, 100(1):32-74.
    • (1928) Math. Ann. , vol.100 , Issue.1 , pp. 32-74
    • Courant, R.1    Friedrichs, K.2    Lewy, H.3
  • 52
    • 26444499077 scopus 로고    scopus 로고
    • Boundary slip in newtonian liquids: a review of experimental studies
    • Neto C., Evans D.R., Bonaccurso E., Butt H., Craig V.S.J. Boundary slip in newtonian liquids: a review of experimental studies. Rep. Prog. Phys. 2005, 68(12):2859-2897.
    • (2005) Rep. Prog. Phys. , vol.68 , Issue.12 , pp. 2859-2897
    • Neto, C.1    Evans, D.R.2    Bonaccurso, E.3    Butt, H.4    Craig, V.S.J.5
  • 53
    • 0001489148 scopus 로고
    • Sur les lois du mouvement des fluides
    • Navier C. Sur les lois du mouvement des fluides. Mem. Acad. R. Sci. France 1823, 6:389-440.
    • (1823) Mem. Acad. R. Sci. France , vol.6 , pp. 389-440
    • Navier, C.1
  • 54
    • 85190764561 scopus 로고    scopus 로고
    • Analysis of slip flow in microchannels, in: Proceedings of 11th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, July
    • D.C. Tretheway, X. Liu, C.D. Meinhart, Analysis of slip flow in microchannels, in: Proceedings of 11th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, July, 2002, pp. 8-11.
    • (2002) , pp. 8-11
    • Tretheway, D.C.1    Liu, X.2    Meinhart, C.D.3
  • 55
    • 0036704531 scopus 로고    scopus 로고
    • Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow
    • Blunt M.J., Jackson M.D., Piri M., Valvatne P.H. Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow. Adv. Water Resour. 2002, 25:1069-1089.
    • (2002) Adv. Water Resour. , vol.25 , pp. 1069-1089
    • Blunt, M.J.1    Jackson, M.D.2    Piri, M.3    Valvatne, P.H.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.