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Volumn 32, Issue 5, 2009, Pages 723-736

The role of scaling laws in upscaling

Author keywords

Averaging; Coarse graining; Stochastic methods; Subsurface hydrology; Transport; Upscaling

Indexed keywords

AVERAGING; COARSE-GRAINING; STOCHASTIC METHODS; SUBSURFACE HYDROLOGY; TRANSPORT; UPSCALING;

EID: 64849115129     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2008.08.015     Document Type: Article
Times cited : (99)

References (34)
  • 1
    • 0000776769 scopus 로고
    • The role of models in science
    • Rosenblueth A., and Wiener N. The role of models in science. Philos Sci 12 4 (1945) 316-321
    • (1945) Philos Sci , vol.12 , Issue.4 , pp. 316-321
    • Rosenblueth, A.1    Wiener, N.2
  • 4
    • 1542442147 scopus 로고    scopus 로고
    • Two-medium description of dispersion in heterogeneous porous media: calculation of macroscopic properties
    • 10.1029/2002WR001559
    • Cherblanc F., Ahmadi A., and Quintard M. Two-medium description of dispersion in heterogeneous porous media: calculation of macroscopic properties. Water Resour Res 39 6 (2003) 1154 10.1029/2002WR001559
    • (2003) Water Resour Res , vol.39 , Issue.6 , pp. 1154
    • Cherblanc, F.1    Ahmadi, A.2    Quintard, M.3
  • 7
    • 0021639953 scopus 로고
    • The operational significance of the continuum hypothesis in the theory of water movement through soils and aquifers
    • Baveye P., and Sposito G. The operational significance of the continuum hypothesis in the theory of water movement through soils and aquifers. Water Resour Res 20 (1984) 521-530
    • (1984) Water Resour Res , vol.20 , pp. 521-530
    • Baveye, P.1    Sposito, G.2
  • 9
    • 33846188046 scopus 로고    scopus 로고
    • Efficient three-dimensional implementation of local-global upscaling for reservoir simulation
    • Wen X., Chen Y., and Durlofsky L. Efficient three-dimensional implementation of local-global upscaling for reservoir simulation. SPE J 11 (2006) 443-453
    • (2006) SPE J , vol.11 , pp. 443-453
    • Wen, X.1    Chen, Y.2    Durlofsky, L.3
  • 12
    • 1542442306 scopus 로고    scopus 로고
    • Volume averaging for determining the effective dispersion tensor: Closure using periodic unit cells
    • 10.1029/2002WR001723
    • Wood B., Cherblanc F., Quintard M., and Whitaker S. Volume averaging for determining the effective dispersion tensor: Closure using periodic unit cells. Water Resour Res 39 8 (2003) 1210 10.1029/2002WR001723
    • (2003) Water Resour Res , vol.39 , Issue.8 , pp. 1210
    • Wood, B.1    Cherblanc, F.2    Quintard, M.3    Whitaker, S.4
  • 17
    • 4344590227 scopus 로고    scopus 로고
    • Generalized coarse graining procedures for flow in porous media
    • Attinger S. Generalized coarse graining procedures for flow in porous media. Comput Geosci 7 (2003) 253-273
    • (2003) Comput Geosci , vol.7 , pp. 253-273
    • Attinger, S.1
  • 18
    • 0003653203 scopus 로고
    • Springer-Verlag, Berlin The über omnitome of the Dagan approaches. Contains some derivation of the SC approach [chapter 5]
    • Dagan G. Flow and transport in porous formations (1989), Springer-Verlag, Berlin The über omnitome of the Dagan approaches. Contains some derivation of the SC approach [chapter 5]
    • (1989) Flow and transport in porous formations
    • Dagan, G.1
  • 19
    • 0001130299 scopus 로고
    • Levels of simplification: the use of assumptions, restrictions, and constraints in engineering analysis
    • Whitaker. Levels of simplification: the use of assumptions, restrictions, and constraints in engineering analysis. Chem Eng Edu 22 (1988) 104-108
    • (1988) Chem Eng Edu , vol.22 , pp. 104-108
    • Whitaker1
  • 20
    • 0020971569 scopus 로고
    • Three-dimensional stochastic analysis of macrodispersion in aquifers
    • Gelhar L., and Axness C. Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resour Res 19 (1983) 161-180
    • (1983) Water Resour Res , vol.19 , pp. 161-180
    • Gelhar, L.1    Axness, C.2
  • 21
    • 0027790286 scopus 로고
    • A fast Fourier transform stochastic analysis of the contaminant transport process
    • Deng F.-W., Cushman J.H., and Delleur J. A fast Fourier transform stochastic analysis of the contaminant transport process. Water Resour Res 29 (1993) 3241-3247
    • (1993) Water Resour Res , vol.29 , pp. 3241-3247
    • Deng, F.-W.1    Cushman, J.H.2    Delleur, J.3
  • 22
    • 0029412641 scopus 로고
    • Comparison of moments for classical-, quasi-, and convolution-Fickian dispersion of a conservative tracer
    • Deng F.-W., and Cushman J.H. Comparison of moments for classical-, quasi-, and convolution-Fickian dispersion of a conservative tracer. Water Resour Res 31 (1995) 1147-1149
    • (1995) Water Resour Res , vol.31 , pp. 1147-1149
    • Deng, F.-W.1    Cushman, J.H.2
  • 23
    • 33746357914 scopus 로고    scopus 로고
    • Nonlocal and localized analyses of nonreactive solute transport in bounded randomly heterogeneous porous media: theoretical framework
    • Morales Casique E., Neuman S., and Guadagnini A. Nonlocal and localized analyses of nonreactive solute transport in bounded randomly heterogeneous porous media: theoretical framework. Adv Water Resour 29 (2006) 1238-12553
    • (2006) Adv Water Resour , vol.29 , pp. 1238-12553
    • Morales Casique, E.1    Neuman, S.2    Guadagnini, A.3
  • 24
    • 0028372270 scopus 로고
    • Transport in ordered and disordered porous media: II. Generalized volume averaging
    • Quintard M., and Whitaker S. Transport in ordered and disordered porous media: II. Generalized volume averaging. Transp Porous Media 14 (1994) 179-206
    • (1994) Transp Porous Media , vol.14 , pp. 179-206
    • Quintard, M.1    Whitaker, S.2
  • 26
    • 0010107146 scopus 로고
    • Entropy and information
    • American Mathematical Society, Providence (RI)
    • Wiener N. Entropy and information. Proceedings of the symposia in applied mathematics vol. 2 (1950), American Mathematical Society, Providence (RI) 305
    • (1950) Proceedings of the symposia in applied mathematics , vol.2 , pp. 305
    • Wiener, N.1
  • 27
    • 0007235413 scopus 로고
    • Computation of the amount of information about a stochastic function contained in another such function
    • [[in Russian]; A translation appears in American Mathematical Society Translations, Series 2, 12:199-246]
    • Gel'fand I., and Yaglom A. Computation of the amount of information about a stochastic function contained in another such function. Uspekhi Matematicheskikh Nauk 12 1 (1957) 3-52 [[in Russian]; A translation appears in American Mathematical Society Translations, Series 2, 12:199-246]
    • (1957) Uspekhi Matematicheskikh Nauk , vol.12 , Issue.1 , pp. 3-52
    • Gel'fand, I.1    Yaglom, A.2
  • 28
    • 64849087345 scopus 로고    scopus 로고
    • Scheibe TD. Characterization of the spatial structuring of natural porous media and its impacts on subsurface flow and transport. PhD, Stanford; 1993.
    • Scheibe TD. Characterization of the spatial structuring of natural porous media and its impacts on subsurface flow and transport. PhD, Stanford; 1993.
  • 29
    • 11744373290 scopus 로고
    • Die gegenwartige situation in der quantenmechanik [The present situation in quantum mechanics]
    • 823, 844-9 [English Translation: John D. Trimmer, Proceedings of the American philosophical society, vol. 124; 1980. p. 323-38]
    • Schrödinger E. Die gegenwartige situation in der quantenmechanik [The present situation in quantum mechanics]. Naturwissenschaftern 23 (1935) 807-812 823, 844-9 [English Translation: John D. Trimmer, Proceedings of the American philosophical society, vol. 124; 1980. p. 323-38]
    • (1935) Naturwissenschaftern , vol.23 , pp. 807-812
    • Schrödinger, E.1
  • 30
    • 0025586906 scopus 로고
    • Transport in heterogeneous porous formations: spatial moments, ergodicity, and effective dispersion
    • Dagan G. Transport in heterogeneous porous formations: spatial moments, ergodicity, and effective dispersion. Water Resour Res 26 6 (1990) 1281-1290
    • (1990) Water Resour Res , vol.26 , Issue.6 , pp. 1281-1290
    • Dagan, G.1
  • 31
    • 0032950902 scopus 로고    scopus 로고
    • Concentration fluctuations in transport by groundwater: comparison between theory and field experiments
    • Fiori A. Concentration fluctuations in transport by groundwater: comparison between theory and field experiments. Water Resour Res 35 1 (1999) 105-112
    • (1999) Water Resour Res , vol.35 , Issue.1 , pp. 105-112
    • Fiori, A.1
  • 32
    • 0031831168 scopus 로고    scopus 로고
    • On the influence of pore-scale dispersion in nonergodic transport in heterogeneous formations
    • Fiori A. On the influence of pore-scale dispersion in nonergodic transport in heterogeneous formations. Transp Porous Media 30 (1998) 57-73
    • (1998) Transp Porous Media , vol.30 , pp. 57-73
    • Fiori, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.