메뉴 건너뛰기




Volumn 53, Issue 21-22, 2010, Pages 4985-4993

Equivalence between volume averaging and moments matching techniques for mass transport models in porous media

Author keywords

Moments; Non equilibrium; Porous media; Time asymptotic; Two equation model; Volume averaging

Indexed keywords

DETERMINISTIC PERTURBATION; FUNDAMENTAL ANALYSIS; MASS TRANSPORT; MASS TRANSPORT MODEL; MATCHING METHODS; MATCHING TECHNIQUES; NON EQUILIBRIUM; NONEQUILIBRIUM MODEL; NUMERICAL SIMULATION; ONE-EQUATION; POROUS MEDIA; SPATIAL MOMENT; TWO-EQUATION MODEL; UPSCALING; VOLUME-AVERAGING;

EID: 77955512660     PISSN: 00179310     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijheatmasstransfer.2010.05.032     Document Type: Article
Times cited : (27)

References (40)
  • 1
    • 0035392056 scopus 로고    scopus 로고
    • Dispersion in heterogeneous porous media: one-equation non-equilibrium model
    • Quintard M., Cherblanc F., Whitaker S. Dispersion in heterogeneous porous media: one-equation non-equilibrium model. Transport Porous Media 2001, 44:181-203.
    • (2001) Transport Porous Media , vol.44 , pp. 181-203
    • Quintard, M.1    Cherblanc, F.2    Whitaker, S.3
  • 3
    • 0023382568 scopus 로고
    • A non-local description of advection-diffusion with application to dispersion in porous media
    • Koch J., Brady J. A non-local description of advection-diffusion with application to dispersion in porous media. J. Fluid Mech. 1987, 180:387-403.
    • (1987) J. Fluid Mech. , vol.180 , pp. 387-403
    • Koch, J.1    Brady, J.2
  • 4
    • 0001495041 scopus 로고
    • Anomalous diffusion in heterogeneous porous media
    • Koch J., Brady J. Anomalous diffusion in heterogeneous porous media. Phys. Fluids 1988, 31:965-973.
    • (1988) Phys. Fluids , vol.31 , pp. 965-973
    • Koch, J.1    Brady, J.2
  • 5
    • 0027683759 scopus 로고
    • Non-local dispersion in porous media with countinuously evolving scales of heterogeneity
    • Cushman J., Ginn T. Non-local dispersion in porous media with countinuously evolving scales of heterogeneity. Transport Porous Media 1993, 13:123-138.
    • (1993) Transport Porous Media , vol.13 , pp. 123-138
    • Cushman, J.1    Ginn, T.2
  • 6
    • 0031127027 scopus 로고    scopus 로고
    • Two-equation model for a diffusive process in porous media using the volume averaging method with unsteady-state closure
    • Moyne C. Two-equation model for a diffusive process in porous media using the volume averaging method with unsteady-state closure. Adv. Water Resour. 1997, 20:63-76.
    • (1997) Adv. Water Resour. , vol.20 , pp. 63-76
    • Moyne, C.1
  • 7
    • 0034515585 scopus 로고    scopus 로고
    • Fractional advection-dispersion equation. a classical mass balance with convolution-fickian flux
    • Cushman J., Ginn T. Fractional advection-dispersion equation. a classical mass balance with convolution-fickian flux. Water Resour. Res. 2000, 36:3763-3766.
    • (2000) Water Resour. Res. , vol.36 , pp. 3763-3766
    • Cushman, J.1    Ginn, T.2
  • 8
    • 46049091752 scopus 로고    scopus 로고
    • Mass transfer process in a two-region medium
    • Chastanet J., Wood B. Mass transfer process in a two-region medium. Water Resour. Res. 2008, 44:W05413. 10.1029/2006WR005553.
    • (2008) Water Resour. Res. , vol.44
    • Chastanet, J.1    Wood, B.2
  • 9
    • 3242665602 scopus 로고
    • Derivation of the double porosity model of single phase flow via homogenization theory
    • Arbogast T. Derivation of the double porosity model of single phase flow via homogenization theory. SIAM J. Appl. Math. 1985, 21:3087-3098.
    • (1985) SIAM J. Appl. Math. , vol.21 , pp. 3087-3098
    • Arbogast, T.1
  • 11
    • 1842661791 scopus 로고    scopus 로고
    • Modeling of unsaturated water flow in double-porosity soils by the homogenization approach
    • Lewandowska J., Szymkiewicz A., Burzyński K., Vauclin M. Modeling of unsaturated water flow in double-porosity soils by the homogenization approach. Adv. Water Resour. 2004, 27:283-296.
    • (2004) Adv. Water Resour. , vol.27 , pp. 283-296
    • Lewandowska, J.1    Szymkiewicz, A.2    Burzyński, K.3    Vauclin, M.4
  • 12
    • 80455150324 scopus 로고    scopus 로고
    • Transport in highly heterogeneous porous media: from direct simulation to macro-scale two-equation models or mixed models, Chem. Product Process Model, (Article 19)
    • G. Debenest, M. Quintard, Transport in highly heterogeneous porous media: from direct simulation to macro-scale two-equation models or mixed models, Chem. Product Process Model. 3 (1) (2008) (Article 19).
    • (2008) , vol.3 , Issue.1
    • Debenest, G.1    Quintard, M.2
  • 14
    • 0002099118 scopus 로고
    • Dead end pore volume and dispersion in porous media
    • Coats K., Smith B. Dead end pore volume and dispersion in porous media. Soc. Petrol. Eng. J. 1964, 4:73-84.
    • (1964) Soc. Petrol. Eng. J. , vol.4 , pp. 73-84
    • Coats, K.1    Smith, B.2
  • 15
    • 0018682441 scopus 로고
    • Mass transfer in porous media with immobile water
    • De Smedt F., Wierenga P. Mass transfer in porous media with immobile water. J. Hydrol. 1979, 41:59-67.
    • (1979) J. Hydrol. , vol.41 , pp. 59-67
    • De Smedt, F.1    Wierenga, P.2
  • 16
    • 0022755214 scopus 로고
    • Three-dimensional solutions for solute transport in an infinite medium with mobile and immobile zones
    • Goltz M., Roberts P. Three-dimensional solutions for solute transport in an infinite medium with mobile and immobile zones. Water Resour. Res. 1986, 22(7):1139-1148.
    • (1986) Water Resour. Res. , vol.22 , Issue.7 , pp. 1139-1148
    • Goltz, M.1    Roberts, P.2
  • 17
    • 0024813919 scopus 로고
    • Modeling the transport of solutes influenced by multiprocess nonequilibrium
    • Brusseau M., Jessup R., Rao P. Modeling the transport of solutes influenced by multiprocess nonequilibrium. Water Resour. Res. 1989, 25(9):1971-1988.
    • (1989) Water Resour. Res. , vol.25 , Issue.9 , pp. 1971-1988
    • Brusseau, M.1    Jessup, R.2    Rao, P.3
  • 18
    • 0025387150 scopus 로고    scopus 로고
    • Computation and interpretation of miscible displacement performance in heterogeneous porous media, SPE (Society of Petroleum Engineers) Reservoir Eng.
    • A. Correa, K. Pande, H. Ramey, W. Brigham, Computation and interpretation of miscible displacement performance in heterogeneous porous media, SPE (Society of Petroleum Engineers) Reservoir Eng. 5 (1).
    • , vol.5 , Issue.1
    • Correa, A.1    Pande, K.2    Ramey, H.3    Brigham, W.4
  • 19
    • 0019602427 scopus 로고
    • Taylor's dispersion in stratified porous media
    • Lake L., Hirasaki G. Taylor's dispersion in stratified porous media. SPE J. 1981, 459-468.
    • (1981) SPE J. , pp. 459-468
    • Lake, L.1    Hirasaki, G.2
  • 20
    • 33847647658 scopus 로고    scopus 로고
    • Two-domain description of solute transport in heterogeneous porous media: comparison between theoretical predictions and numerical experiments
    • Cherblanc F., Ahmadi A., Quintard M. Two-domain description of solute transport in heterogeneous porous media: comparison between theoretical predictions and numerical experiments. Adv. Water Resour. 2007, 30:1127-1143.
    • (2007) Adv. Water Resour. , vol.30 , pp. 1127-1143
    • Cherblanc, F.1    Ahmadi, A.2    Quintard, M.3
  • 21
    • 48749135772 scopus 로고
    • Development of transport equations for multiphase systems I: general development for two-phase systems
    • Zanotti F., Carbonell R. Development of transport equations for multiphase systems I: general development for two-phase systems. Chem. Eng. Sci. 1984, 39:263-278.
    • (1984) Chem. Eng. Sci. , vol.39 , pp. 263-278
    • Zanotti, F.1    Carbonell, R.2
  • 22
    • 0032576027 scopus 로고    scopus 로고
    • Transport in chemically and mechanically heterogeneous porous media V: two-equation model for solute transport with adsorption
    • Ahmadi A., Quintard M., Whitaker S. Transport in chemically and mechanically heterogeneous porous media V: two-equation model for solute transport with adsorption. Adv. Water Resour. 1998, 22:59-86.
    • (1998) Adv. Water Resour. , vol.22 , pp. 59-86
    • Ahmadi, A.1    Quintard, M.2    Whitaker, S.3
  • 23
    • 1542442306 scopus 로고    scopus 로고
    • Volume averaging for determining the effective dispersion tensor: closure using periodic unit cells and comparison with ensemble averaging
    • Wood B., Cherblanc F., Quintard M., Whitaker S. Volume averaging for determining the effective dispersion tensor: closure using periodic unit cells and comparison with ensemble averaging. Water Resour. Res. 2003, 39:1210.
    • (2003) Water Resour. Res. , vol.39 , pp. 1210
    • Wood, B.1    Cherblanc, F.2    Quintard, M.3    Whitaker, S.4
  • 24
    • 0029527343 scopus 로고
    • Taylor dispersion in porous media: analysis by multiple scale expansions
    • Auriault J., Adler P. Taylor dispersion in porous media: analysis by multiple scale expansions. Adv. Water Resour. 1995, 18:217-226.
    • (1995) Adv. Water Resour. , vol.18 , pp. 217-226
    • Auriault, J.1    Adler, P.2
  • 26
    • 0035358098 scopus 로고    scopus 로고
    • Up-scaling flow in fractured media: equivalence between the large scale averaging theory and the continuous time random walk method
    • Noetinger B., Estebenet T., Quintard M. Up-scaling flow in fractured media: equivalence between the large scale averaging theory and the continuous time random walk method. Transport Porous Media 2001, 43:581-596.
    • (2001) Transport Porous Media , vol.43 , pp. 581-596
    • Noetinger, B.1    Estebenet, T.2    Quintard, M.3
  • 27
    • 64849115129 scopus 로고    scopus 로고
    • The role of scaling laws in upscaling
    • Wood B. The role of scaling laws in upscaling. Adv. Water Resour. 2009, 32:723-736.
    • (2009) Adv. Water Resour. , vol.32 , pp. 723-736
    • Wood, B.1
  • 28
    • 34548324803 scopus 로고    scopus 로고
    • Comparison of theory and experiment for solute transport in highly heterogeneous porous medium
    • Golfier F., Quintard M., Cherblanc F., Harvey C., Zinn B., Wood B. Comparison of theory and experiment for solute transport in highly heterogeneous porous medium. Adv. Water Resour. 2007, 30(11):2225-2261.
    • (2007) Adv. Water Resour. , vol.30 , Issue.11 , pp. 2225-2261
    • Golfier, F.1    Quintard, M.2    Cherblanc, F.3    Harvey, C.4    Zinn, B.5    Wood, B.6
  • 29
    • 0021938510 scopus 로고
    • The spatial averaging theorem revisited
    • Howes F., Whitaker S. The spatial averaging theorem revisited. Chem. Eng. Sci. 1985, 40:1387-1392.
    • (1985) Chem. Eng. Sci. , vol.40 , pp. 1387-1392
    • Howes, F.1    Whitaker, S.2
  • 32
    • 0030212515 scopus 로고    scopus 로고
    • Large-scale properties for two-phase flow in random porous media
    • Ahmadi A., Quintard M., Whitaker S. Large-scale properties for two-phase flow in random porous media. J. Hydrol. 1996, 183:69-99.
    • (1996) J. Hydrol. , vol.183 , pp. 69-99
    • Ahmadi, A.1    Quintard, M.2    Whitaker, S.3
  • 33
    • 0035425614 scopus 로고    scopus 로고
    • Quasi-steady two-equation models for diffusive transport in fractured porous media: large-scale properties for densely fractured systems
    • Landereau P., Noetinger B., Quintard M. Quasi-steady two-equation models for diffusive transport in fractured porous media: large-scale properties for densely fractured systems. Adv. Water Resour. 2001, 24:863-876.
    • (2001) Adv. Water Resour. , vol.24 , pp. 863-876
    • Landereau, P.1    Noetinger, B.2    Quintard, M.3
  • 34
    • 61449101352 scopus 로고    scopus 로고
    • Biofilms in porous media: development of macroscopic transport equations via volume averaging with closure for local mass equilibrium conditions
    • Golfier F., Wood B., Orgogozo L., Quintard M., Buès M. Biofilms in porous media: development of macroscopic transport equations via volume averaging with closure for local mass equilibrium conditions. Adv. Water Resour. 2009, 32:463-485.
    • (2009) Adv. Water Resour. , vol.32 , pp. 463-485
    • Golfier, F.1    Wood, B.2    Orgogozo, L.3    Quintard, M.4    Buès, M.5
  • 35
    • 0034040524 scopus 로고    scopus 로고
    • Multi-species diffusion and reaction in biofilms and cellular media
    • Wood B., Whitaker S. Multi-species diffusion and reaction in biofilms and cellular media. Chem. Eng. Sci. 2000, 55:3397-3418.
    • (2000) Chem. Eng. Sci. , vol.55 , pp. 3397-3418
    • Wood, B.1    Whitaker, S.2
  • 36
    • 0022267615 scopus 로고
    • Validity of the local equilibrium assumption for modeling sorbing phase solute transport through homogeneous soils
    • Valocchi A. Validity of the local equilibrium assumption for modeling sorbing phase solute transport through homogeneous soils. Water Resour. Res. 1985, 21:808-820.
    • (1985) Water Resour. Res. , vol.21 , pp. 808-820
    • Valocchi, A.1
  • 38
    • 77955517541 scopus 로고    scopus 로고
    • Modeling non-equilibrium mass transport in biologically reactive porous media, Adv. Water Resour., submitted for publication
    • Y. Davit, G. Debenest, B. Wood, M. Quintard, Modeling non-equilibrium mass transport in biologically reactive porous media, Adv. Water Resour., submitted for publication.
    • Davit, Y.1    Debenest, G.2    Wood, B.3    Quintard, M.4
  • 39
    • 0001781873 scopus 로고
    • Dispersion resulting from flow through spatially periodic porous media
    • Brenner H. Dispersion resulting from flow through spatially periodic porous media. Philos. Trans. Royal Soc. London Ser. A 1980, 297:81.
    • (1980) Philos. Trans. Royal Soc. London Ser. A , vol.297 , pp. 81
    • Brenner, H.1
  • 40
    • 74949124498 scopus 로고    scopus 로고
    • Theoretical predictions of the effective thermodiffusion coefficients in porous media
    • Davarzani H., Marcoux M., Quintard M. Theoretical predictions of the effective thermodiffusion coefficients in porous media. Int. J. Heat Mass Transfer 2010, 53:1514-1528.
    • (2010) Int. J. Heat Mass Transfer , vol.53 , pp. 1514-1528
    • Davarzani, H.1    Marcoux, M.2    Quintard, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.