메뉴 건너뛰기




Volumn 492, Issue , 2003, Pages 47-62

Stochastic averaging of nonlinear flows in heterogeneous porous media

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC CONDUCTIVITY; PERTURBATION TECHNIQUES; PRESSURE EFFECTS; RANDOM PROCESSES; STATISTICAL MECHANICS;

EID: 0142230585     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S002211200300538X     Document Type: Article
Times cited : (48)

References (36)
  • 1
    • 0035424726 scopus 로고    scopus 로고
    • Gaussian closure of one-dimensional unsaturated flow in randomly heterogeneous soils
    • AMIR, O. & NEUMAN, S. P. 2001 Gaussian closure of one-dimensional unsaturated flow in randomly heterogeneous soils. Transport Porous Media 44, 355-383.
    • (2001) Transport Porous Media , vol.44 , pp. 355-383
    • Amir, O.1    Neuman, S.P.2
  • 2
    • 0016000051 scopus 로고
    • Transport properties of two-phase materials with random structure
    • BATCHELOR, G. K. 1974 Transport properties of two-phase materials with random structure. Annu. Rev. Fluid Mech. 6, 227-255.
    • (1974) Annu. Rev. Fluid Mech. , vol.6 , pp. 227-255
    • Batchelor, G.K.1
  • 3
    • 0000184512 scopus 로고
    • The measurement of soil water diffusivity
    • BRUCE, R. R. & KLUTE, A. 1956 The measurement of soil water diffusivity. Soil Sci. Soc. Am. Proc. 20, 458-462.
    • (1956) Soil Sci. Soc. Am. Proc. , vol.20 , pp. 458-462
    • Bruce, R.R.1    Klute, A.2
  • 8
    • 0026376829 scopus 로고
    • Dispersion of a passive solute in nonergodic transport by steady velocity fields in heterogeneous formations
    • DAGAN, G. 1991 Dispersion of a passive solute in nonergodic transport by steady velocity fields in heterogeneous formations. J. Fluid Mech. 233, 197-210.
    • (1991) J. Fluid Mech. , vol.233 , pp. 197-210
    • Dagan, G.1
  • 11
    • 0003002459 scopus 로고
    • Wave propagation in random media
    • (ed. A. T. Bharucha-Reid), Academic
    • FRISCH, U. 1968 Wave propagation in random media. In Probabilistic Methods in Applied Mathematics (ed. A. T. Bharucha-Reid), vol. 1, pp. 75-198. Academic.
    • (1968) Probabilistic Methods in Applied Mathematics , vol.1 , pp. 75-198
    • Frisch, U.1
  • 12
    • 0001177057 scopus 로고
    • Numerical integration of the fluctuating hydrodynamics equations
    • GARCIA, A. L., MANSOUR, M. M., LIE, G. C. & CLEMENTI, E. 1987 Numerical integration of the fluctuating hydrodynamics equations. J. Staist. Phys. 47, 209-228.
    • (1987) J. Staist. Phys. , vol.47 , pp. 209-228
    • Garcia, A.L.1    Mansour, M.M.2    Lie, G.C.3    Clementi, E.4
  • 15
    • 0032826156 scopus 로고    scopus 로고
    • Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains, 1, theory and computational approach
    • GUADAGNINI, A. & NEUMAN, S. P. 1999a Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains, 1, Theory and computational approach. Wat. Resour. Res. 35, 2999-3018.
    • (1999) Wat. Resour. Res. , vol.35 , pp. 2999-3018
    • Guadagnini, A.1    Neuman, S.P.2
  • 16
    • 0032872539 scopus 로고    scopus 로고
    • Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains, 2, Computational examples
    • GUADAGNINI, A. & NEUMAN, S. P. 1999b Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains, 2, Computational examples. Wat. Resour. Res. 35, 3019-3040.
    • (1999) Wat. Resour. Res. , vol.35 , pp. 3019-3040
    • Guadagnini, A.1    Neuman, S.P.2
  • 17
    • 0030088181 scopus 로고    scopus 로고
    • Averaging of unsteady flows in heterogeneous media of stationary conductivity
    • INDELMAN, P. 1996 Averaging of unsteady flows in heterogeneous media of stationary conductivity. J. Fluid Mech. 310, 39-60.
    • (1996) J. Fluid Mech. , vol.310 , pp. 39-60
    • Indelman, P.1
  • 18
    • 0032675305 scopus 로고    scopus 로고
    • Solute transport in divergent radial flow through heterogeneous porous media
    • INDELMAN, P. & DAGAN, G. 1999 Solute transport in divergent radial flow through heterogeneous porous media. J. Fluid Mech. 384, 159-182.
    • (1999) J. Fluid Mech. , vol.384 , pp. 159-182
    • Indelman, P.1    Dagan, G.2
  • 19
    • 0032206159 scopus 로고    scopus 로고
    • Electrical conductance between conductors with dissimilar temperature-dependent material properties
    • JANG, Y. H., BARBER, J. R. & HU, S. J. 1998 Electrical conductance between conductors with dissimilar temperature-dependent material properties. J. Phys. D: Appl. Phys. 31, 3197-3205.
    • (1998) J. Phys. D: Appl. Phys. , vol.31 , pp. 3197-3205
    • Jang, Y.H.1    Barber, J.R.2    Hu, S.J.3
  • 20
    • 0023382568 scopus 로고
    • A non-local description of advection diffusion with application to dispersion in porous media
    • KOCH, D. L. & BRADY, J. F. 1987 A non-local description of advection diffusion with application to dispersion in porous media. J. Fluid Mech. 180, 387-403.
    • (1987) J. Fluid Mech. , vol.180 , pp. 387-403
    • Koch, D.L.1    Brady, J.F.2
  • 21
    • 0003232978 scopus 로고
    • Eddy viscosity and diffusivity: Exact formulas and approximations
    • KRAICHNAN, R. H. 1987 Eddy viscosity and diffusivity: exact formulas and approximations. Complex Syst. 1, 805-820.
    • (1987) Complex Syst. , vol.1 , pp. 805-820
    • Kraichnan, R.H.1
  • 23
    • 0036547497 scopus 로고    scopus 로고
    • Conditional moment analysis of steady state unsaturated flow in bounded, randomly heterogeneous soils
    • LU, Z., NEUMAN, S. P., GUADAGNINI, A. & TARTAKOVSKY, D. M. 2002 Conditional moment analysis of steady state unsaturated flow in bounded, randomly heterogeneous soils. Wat. Resour. Res. 38, 9.1-9.15.
    • (2002) Wat. Resour. Res. , vol.38
    • Lu, Z.1    Neuman, S.P.2    Guadagnini, A.3    Tartakovsky, D.M.4
  • 24
    • 0023524206 scopus 로고
    • Stochastic modeling of large-scale transient unsaturated flow system
    • MANTOGLOU, A. & GELHAR, L. W. 1987 Stochastic modeling of large-scale transient unsaturated flow system. Wat. Resour. Res. 23, 37-46.
    • (1987) Wat. Resour. Res. , vol.23 , pp. 37-46
    • Mantoglou, A.1    Gelhar, L.W.2
  • 25
    • 0029667540 scopus 로고    scopus 로고
    • Parameter equivalence for the Brooks-Corey and van Genuchten soil characteristics: Preserving the effective capillary drive
    • MOREL-SEYTOUX, H. J., MEYER, P. D., NACHABE, M., TOUMA, J., VAN GENUCHTEN, M. T. & LENHARD, R. J. 1996 Parameter equivalence for the Brooks-Corey and van Genuchten soil characteristics: preserving the effective capillary drive. Wat. Resour. Res. 32, 1251-1258.
    • (1996) Wat. Resour. Res. , vol.32 , pp. 1251-1258
    • Morel-Seytoux, H.J.1    Meyer, P.D.2    Nachabe, M.3    Touma, J.4    Van Genuchten, M.T.5    Lenhard, R.J.6
  • 26
    • 0027505187 scopus 로고
    • Prediction of steady state flow in nonuniform geologic media by conditional moments: Exact nonlocal formalism, effective conductivities, and weak approximation
    • NEUMAN, S. P. & ORR, S. 1993 Prediction of steady state flow in nonuniform geologic media by conditional moments: exact nonlocal formalism, effective conductivities, and weak approximation. Wat. Resour. Res 29, 341-364.
    • (1993) Wat. Resour. Res , vol.29 , pp. 341-364
    • Neuman, S.P.1    Orr, S.2
  • 27
    • 0002931955 scopus 로고    scopus 로고
    • The concept of block-effective macrodispersivity and a unified approach for grid-scale- and plume-scale-dependent transport
    • RUBIN, Y., SUN, A., MAXWELL, R. & BELLIN, A. 1999 The concept of block-effective macrodispersivity and a unified approach for grid-scale- and plume-scale-dependent transport. J. Fluid Mech. 395, 161-180.
    • (1999) J. Fluid Mech. , vol.395 , pp. 161-180
    • Rubin, Y.1    Sun, A.2    Maxwell, R.3    Bellin, A.4
  • 28
    • 0022537481 scopus 로고
    • Effective equations for flow in random porous media with a large number of scales
    • RUBINSTEIN, J. 1986 Effective equations for flow in random porous media with a large number of scales. J. Fluid Mech. 170, 379-383.
    • (1986) J. Fluid Mech. , vol.170 , pp. 379-383
    • Rubinstein, J.1
  • 29
    • 0024738303 scopus 로고
    • Flow in random porous media: Mathematical formulation, variational principles, and rigorous bounds
    • RUBINSTEIN, J. & TORQUATO, S. 1989 Flow in random porous media: mathematical formulation, variational principles, and rigorous bounds. J. Fluid Mech. 206, 25-46.
    • (1989) J. Fluid Mech. , vol.206 , pp. 25-46
    • Rubinstein, J.1    Torquato, S.2
  • 30
    • 0029412477 scopus 로고
    • Stochastic analysis of the velocity covariance and the displacement covariance tensors in partially saturated heterogeneous anisotropic porous formations
    • RUSSO, D. 1995 Stochastic analysis of the velocity covariance and the displacement covariance tensors in partially saturated heterogeneous anisotropic porous formations. Wat. Resour. Res. 31, 1647-1658.
    • (1995) Wat. Resour. Res. , vol.31 , pp. 1647-1658
    • Russo, D.1
  • 31
    • 0035441968 scopus 로고    scopus 로고
    • Prior mapping for nonlinear flows in random environments
    • TARTAKOVSKY, D. M. & GUADAGNINI, A. 2001 Prior mapping for nonlinear flows in random environments. Phys. Rev. E 64. 5302(R)-5305(R).
    • (2001) Phys. Rev. E , vol.64 , pp. 5302-5305
    • Tartakovsky, D.M.1    Guadagnini, A.2
  • 32
    • 0032979759 scopus 로고    scopus 로고
    • Extension of 'transient flow in bounded randomly heterogeneous domains 1. Exact conditional moment equations and recursive approximations'
    • TARTAKOVSKY, D. M. & NEUMAN, S. P. 1999 Extension of 'Transient flow in bounded randomly heterogeneous domains 1. Exact conditional moment equations and recursive approximations'. Wat. Resour. Res. 35, 1921-1925.
    • (1999) Wat. Resour. Res. , vol.35 , pp. 1921-1925
    • Tartakovsky, D.M.1    Neuman, S.P.2
  • 33
    • 0033106228 scopus 로고    scopus 로고
    • Conditional stochastic averaging of steady state unsaturated flow by means of Kirchhoff transformation
    • TARTAKOVSKY, D. M., NEUMAN, S. P. & LU, Z. 1999 Conditional stochastic averaging of steady state unsaturated flow by means of Kirchhoff transformation. Wat. Resour. Res. 35, 731-745.
    • (1999) Wat. Resour. Res. , vol.35 , pp. 731-745
    • Tartakovsky, D.M.1    Neuman, S.P.2    Lu, Z.3
  • 34
    • 0021408616 scopus 로고
    • A perturbation expansion for diffusion in a random velocity field
    • WINTER, C. L., NEWMAN, C. M. & NEUMAN, S. P. 1984 A perturbation expansion for diffusion in a random velocity field. SIAM J. Appl. Maths 44, 411-424.
    • (1984) SIAM J. Appl. Maths , vol.44 , pp. 411-424
    • Winter, C.L.1    Newman, C.M.2    Neuman, S.P.3
  • 35
    • 0022266398 scopus 로고
    • Stochastic analysis of unsaturated flow in heterogeneous soils, 1. Statistically isotropic media
    • YEH, T.-C. J., GELHAR, L. W. & GUTJAHR, A. L. 1985 Stochastic analysis of unsaturated flow in heterogeneous soils, 1. Statistically isotropic media. Wat. Resour. Res. 21, 447-456.
    • (1985) Wat. Resour. Res. , vol.21 , pp. 447-456
    • Yeh, T.-C.J.1    Gelhar, L.W.2    Gutjahr, A.L.3
  • 36
    • 0031778764 scopus 로고    scopus 로고
    • Stochastic analysis of steady-state unsaturated flow in heterogeneous media: Comparison of the Brooks-Corey and Gardner-Russo models
    • ZHANG, D., WALSTROM, T. C. & WINTER, C. L. 1998 Stochastic analysis of steady-state unsaturated flow in heterogeneous media: comparison of the Brooks-Corey and Gardner-Russo models. Wat. Resour. Res. 34, 1437-1449.
    • (1998) Wat. Resour. Res. , vol.34 , pp. 1437-1449
    • Zhang, D.1    Walstrom, T.C.2    Winter, C.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.