메뉴 건너뛰기




Volumn 3, Issue 4, 2005, Pages 957-976

Upscaling for stationary transport in heterogeneous porous media

Author keywords

Effective dispersion; Heterogeneity; Porous media; Transport; Upscaling

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; CORRELATION DETECTORS; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; POROUS MATERIALS; RANDOM PROCESSES;

EID: 28844465982     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/040604157     Document Type: Article
Times cited : (9)

References (34)
  • 1
    • 0003138099 scopus 로고
    • Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media
    • R. Ababou, D. McLaughlin, L. W. Gelhar, and A. F. B. Tompson, Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media, Transp. Porous Media, 4 (1989), pp. 549-565.
    • (1989) Transp. Porous Media , vol.4 , pp. 549-565
    • Ababou, R.1    McLaughlin, D.2    Gelhar, L.W.3    Tompson, A.F.B.4
  • 3
    • 0034745409 scopus 로고    scopus 로고
    • Calculation of the effective properties describing active dispersion in porous media: From simple to complex unit cells
    • A. Ahmadi, A. Aiguesperes, and M. Quintard, Calculation of the effective properties describing active dispersion in porous media: From simple to complex unit cells, Adv. in Water Res., 24 (2001), pp. 423-438.
    • (2001) Adv. in Water Res. , vol.24 , pp. 423-438
    • Ahmadi, A.1    Aiguesperes, A.2    Quintard, M.3
  • 4
    • 4344590227 scopus 로고    scopus 로고
    • Generalized coarse graining procedures for flow in porous media
    • S. Attinger, Generalized coarse graining procedures for flow in porous media, Comput. Geosci., 7 (2003), pp. 253-273.
    • (2003) Comput. Geosci. , vol.7 , pp. 253-273
    • Attinger, S.1
  • 5
    • 3142698869 scopus 로고    scopus 로고
    • Filtering procedures for flow in heterogeneous porous media: Numerical results
    • S. Attinger, J. Eberhard, and N. Neuss, Filtering procedures for flow in heterogeneous porous media: Numerical results, Comput. Visual. Sci., 5 (2002), pp. 67-72.
    • (2002) Comput. Visual. Sci. , vol.5 , pp. 67-72
    • Attinger, S.1    Eberhard, J.2    Neuss, N.3
  • 7
    • 0028176315 scopus 로고
    • Nonreactive and reactive solute transport in three-dimensional heterogeneous porous media: Mean displacement, plume spreading, and uncertainty
    • D. T. Burr, E. A. Sudicky, and R. L. Naff, Nonreactive and reactive solute transport in three-dimensional heterogeneous porous media: Mean displacement, plume spreading, and uncertainty, Water Resour. Res., 30 (1994), pp. 791-815.
    • (1994) Water Resour. Res. , vol.30 , pp. 791-815
    • Burr, D.T.1    Sudicky, E.A.2    Naff, R.L.3
  • 9
    • 0025586906 scopus 로고
    • Transport in heterogeneous porous formations: Spatial moments, ergodicity, and effective dispersion
    • G. Dagan, Transport in heterogeneous porous formations: Spatial moments, ergodicity, and effective dispersion, Water Resour. Res., 26 (1990), pp. 1281-1290.
    • (1990) Water Resour. Res. , vol.26 , pp. 1281-1290
    • Dagan, G.1
  • 10
    • 0028668872 scopus 로고
    • An exact nonlinear correction to transverse macrodispersivity for transport in heterogeneous formations
    • G. Dagan, An exact nonlinear correction to transverse macrodispersivity for transport in heterogeneous formations, Water Resour. Res., 30 (1994), pp. 2699-2705.
    • (1994) Water Resour. Res. , vol.30 , pp. 2699-2705
    • Dagan, G.1
  • 11
    • 0027790286 scopus 로고
    • A fast Fourier transform stochastic analysis of the contaminant transport problem
    • F.-W. Deng, J. H. Cushman, and J. W. Delleur, A fast Fourier transform stochastic analysis of the contaminant transport problem, Water Resour. Res., 29 (1993), pp. 3241-3247.
    • (1993) Water Resour. Res. , vol.29 , pp. 3241-3247
    • Deng, F.-W.1    Cushman, J.H.2    Delleur, J.W.3
  • 13
    • 0034502679 scopus 로고    scopus 로고
    • Temporal behavior of a solute cloud in a heterogeneous porous medium 1. Point-like injection
    • M. Dentz, H. Kinzelbach, S. Attinger, and W. Kinzelbach, Temporal behavior of a solute cloud in a heterogeneous porous medium 1. Point-like injection, Water Resour. Res., 36 (2000), pp. 3591-3604.
    • (2000) Water Resour. Res. , vol.36 , pp. 3591-3604
    • Dentz, M.1    Kinzelbach, H.2    Attinger, S.3    Kinzelbach, W.4
  • 14
    • 29244454502 scopus 로고    scopus 로고
    • Upscaling und Mehrgitterverfahren für Strömungen in heterogenen porösen Medien
    • Dissertation, University of Heidelberg, Heidelberg, Germany
    • J. Eberhard, Upscaling und Mehrgitterverfahren für Strömungen in heterogenen porösen Medien, Dissertation, University of Heidelberg, Heidelberg, Germany, 2003.
    • (2003)
    • Eberhard, J.1
  • 15
    • 85011276432 scopus 로고    scopus 로고
    • Coarse graining for upscaling of flow in heterogeneous porous media
    • J. Eberhard, S. Attinger, and G. Wittum, Coarse graining for upscaling of flow in heterogeneous porous media, Multiscale Model. Simul., 2 (2004), pp. 269-301.
    • (2004) Multiscale Model. Simul. , vol.2 , pp. 269-301
    • Eberhard, J.1    Attinger, S.2    Wittum, G.3
  • 16
    • 0031831168 scopus 로고    scopus 로고
    • On the influence of pore-scale dispersion in nonergodic transport in heterogeneous formations
    • A. Fiori, On the influence of pore-scale dispersion in nonergodic transport in heterogeneous formations, Transp. Porous Media, 30 (1998), pp. 57-73.
    • (1998) Transp. Porous Media , vol.30 , pp. 57-73
    • Fiori, A.1
  • 18
    • 0020971569 scopus 로고
    • Three-dimensional stochastic analysis of macrodispersion in aquifers
    • L. W. Gelhar and C. L. Axness, Three-dimensional stochastic analysis of macrodispersion in aquifers, Water Resour. Res., 19 (1983), pp. 161-180.
    • (1983) Water Resour. Res. , vol.19 , pp. 161-180
    • Gelhar, L.W.1    Axness, C.L.2
  • 19
    • 0018656462 scopus 로고
    • Stochastic analysis of macrodispersion in a stratified aquifer
    • L. W. Gelhar, A. L. Gutjahr, and R. L. Naff, Stochastic analysis of macrodispersion in a stratified aquifer, Water Resour. Res., 15 (1979), pp. 1387-1397.
    • (1979) Water Resour. Res. , vol.15 , pp. 1387-1397
    • Gelhar, L.W.1    Gutjahr, A.L.2    Naff, R.L.3
  • 22
    • 0029673821 scopus 로고    scopus 로고
    • Concentration fluctuations and dilution in two-dimensionally periodic heterogeneous porous media
    • V. Kapoor and P. K. Kitanidis, Concentration fluctuations and dilution in two-dimensionally periodic heterogeneous porous media, Transp. Porous Media, 21 (1996), pp. 91-119.
    • (1996) Transp. Porous Media , vol.21 , pp. 91-119
    • Kapoor, V.1    Kitanidis, P.K.2
  • 23
    • 0014698344 scopus 로고
    • Diffusion by a random velocity field
    • R. H. Kraichnan, Diffusion by a random velocity field, Phys. Fluids, 13 (1970), pp. 22-31.
    • (1970) Phys. Fluids , vol.13 , pp. 22-31
    • Kraichnan, R.H.1
  • 24
    • 0000083945 scopus 로고
    • Diffusion of passive-scalar and magnetic fields by helical turbulence
    • R. H. Kraichnan, Diffusion of passive-scalar and magnetic fields by helical turbulence, J. Fluid Mech., 77 (1976), pp. 753-768.
    • (1976) J. Fluid Mech. , vol.77 , pp. 753-768
    • Kraichnan, R.H.1
  • 25
    • 0027870936 scopus 로고
    • Plume scale-dependent dispersion in heterogeneous aquifers 1. Lagrangian analysis in a stratified aquifer
    • H. Rajaram and L. W. Gelhar, Plume scale-dependent dispersion in heterogeneous aquifers 1. Lagrangian analysis in a stratified aquifer, Water Resour. Res., 29 (1993), pp. 3249-3260.
    • (1993) Water Resour. Res. , vol.29 , pp. 3249-3260
    • Rajaram, H.1    Gelhar, L.W.2
  • 26
    • 0027882947 scopus 로고
    • Plume scale-dependent dispersion in heterogeneous aquifers 2. Eulerian analysis and three-dimensional aquifers
    • H. Rajaram and L. W. Gelhar, Plume scale-dependent dispersion in heterogeneous aquifers 2. Eulerian analysis and three-dimensional aquifers, Water Resour. Res., 29 (1993), pp. 3261-3276.
    • (1993) Water Resour. Res. , vol.29 , pp. 3261-3276
    • Rajaram, H.1    Gelhar, L.W.2
  • 27
    • 0025206016 scopus 로고
    • Stochastic modeling of macrodispersion in heterogeneous porous media
    • Y. Rubin, Stochastic modeling of macrodispersion in heterogeneous porous media, Water Resour. Res., 26 (1990), pp. 133-141.
    • (1990) Water Resour. Res. , vol.26 , pp. 133-141
    • Rubin, Y.1
  • 28
    • 1542652193 scopus 로고    scopus 로고
    • On the use of block-effective macrodispersion for numerical simulations of transport in heterogeneous formations
    • Y. Rubin, A. Bellin, and A. E. Lawrence, On the use of block-effective macrodispersion for numerical simulations of transport in heterogeneous formations, Water Resour. Res., 39 (2003), 1242.
    • (2003) Water Resour. Res. , vol.39 , pp. 1242
    • Rubin, Y.1    Bellin, A.2    Lawrence, A.E.3
  • 29
    • 0002931955 scopus 로고    scopus 로고
    • The concept of block-effective macrodispersivity and a unified approach for grid-scale- and plume-scale-dependent transport
    • Y. Rubin, A. Sun, R. Maxwell, and A. Bellin, The concept of block-effective macrodispersivity and a unified approach for grid-scale- and plume-scale-dependent transport, J. Fluid Mech., 395 (1999), pp. 161-180.
    • (1999) J. Fluid Mech. , vol.395 , pp. 161-180
    • Rubin, Y.1    Sun, A.2    Maxwell, R.3    Bellin, A.4
  • 30
    • 0000627182 scopus 로고
    • General theory of dispersion in porous media
    • A. E. Scheideger, General theory of dispersion in porous media, J. Geophys. Res., 66 (1961), pp. 3273-3278.
    • (1961) J. Geophys. Res. , vol.66 , pp. 3273-3278
    • Scheideger, A.E.1
  • 31
    • 0025624804 scopus 로고
    • Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media
    • A. F. P. Tompson and L. W. Gelhar, Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media, Water Resour. Res., 26 (1990), pp. 2541-2562.
    • (1990) Water Resour. Res. , vol.26 , pp. 2541-2562
    • Tompson, A.F.P.1    Gelhar, L.W.2
  • 32
    • 0033455720 scopus 로고    scopus 로고
    • Analysis of macrodispersion through volume averaging: Comparison with stochastic theory
    • J. Wang and P. K. Kitanidis, Analysis of macrodispersion through volume averaging: Comparison with stochastic theory, Stochastic Environmental Research and Risk Assessment, 13 (1999), pp. 66-84.
    • (1999) Stochastic Environmental Research and Risk Assessment , vol.13 , pp. 66-84
    • Wang, J.1    Kitanidis, P.K.2
  • 33
    • 0030455072 scopus 로고    scopus 로고
    • Upscaling hydraulic conductivities in heterogeneous media: An overview
    • X.-H. Wen and J. J. Gomez-Hernandez, Upscaling hydraulic conductivities in heterogeneous media: An overview, J. Hydrology, 183 (1996), pp. ix-xxxii.
    • (1996) J. Hydrology , vol.183
    • Wen, X.-H.1    Gomez-Hernandez, J.J.2
  • 34
    • 1542442306 scopus 로고    scopus 로고
    • Volume averaging for determining the effective dispersion tensor: Closure using periodic unit cells and comparison with ensemble averaging
    • B. D. Wood, F. Cherblanc, M. Quintard, and S. Whitaker, Volume averaging for determining the effective dispersion tensor: Closure using periodic unit cells and comparison with ensemble averaging, Water Resour. Res., 39 (2003), 1210.
    • (2003) Water Resour. Res. , vol.39 , pp. 1210
    • Wood, B.D.1    Cherblanc, F.2    Quintard, M.3    Whitaker, S.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.