Second-order expressions for velocity moments in two- and three-dimensional statistically anisotropic media

Water Resources Research

Volumn 33, Issue 4, 1997, Pages 625-637

  Hsu, Kuo Chin ^a   Neuman, Shlomo P ^a  

^a UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC MEDIA; ANISOTROPY; AUTOCORRELATION; SEEPAGE;

EXTREME ANISOTROPIES; LONGITUDINAL VELOCITY; SECOND ORDER EFFECT; SECOND-ORDER EXPRESSIONS; SEEPAGE VELOCITY; SPATIAL AUTOCORRELATIONS; THREE-DIMENSIONAL DOMAIN; TRANSVERSE VELOCITY;

VELOCITY;

ANISOTROPY; GROUNDWATER FLOW; SEEPAGE; STOCHASTIC ANALYSIS; VELOCITY;

EID: 0030945433     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/97WR00045     Document Type: Article

References (12)

1. Dagan, G., Flow and Transport in Porous Formations, Springer-Verlag, New York, 1989.
2. Dagan, G., Higher-order correction of effective permeability of heterogenous isotropic formations of lognormal conductivity distribution, Transp. Porous Media, 12, 279-290, 1993.
3. Dagan, G., An exact nonlinear correction to transverse macrodispersivity for transport in heterogeneous formations, Water Resour. Res., 30(10), 2699-2705, 1994.
4. Dagan, G., and S. P. Neuman, Nonasymptotic behavior of a common Eulerian approximation for transport in random velocity fields, Water Resour. Res., 27(12), 3249-3256, 1991.
5. Dagan, G., and S. P. Neuman (Ed.), Subsurface Flow and Transport: The Stochastic Approach, Proceedings of Second Kavacs Colloquium, Intern. Hydrol. Programme of UNESCO, Paris, in press, 1997.
6. Deng, F. W., and J. H. Cushman, On higher-order corrections to the flow velocity covariance tensor. Water Resour. Res., 31(7), 1659-1672, 1995.
7. De Wit, A., Correlation structure dependence of the effective permeability of heterogeneous porous media, Phys. Fluids, 7(11), 2553-2562, 1995.
8. Dwight, H. B., Tables of Integral and Other Mathematical Data, Macmillian, New York, 1961.
9. Gelhar, L. W., Stochastic Subsurface Hydrology, Prentice Hall, Englewood Cliffs, N. J., 1993.
10. Hsu, K.-C., Higher-order effects on flow and transport in randomly heterogenous, statistically anisotropic porous media, Ph.D. dissertation, Univ. of Ariz., Tucson, 1996.
11. Hsu, K.-C., D. Zhang, and S. P. Neuman, Higher order effects on flow and transport in randomly heterogeneous media, Water Resour. Res., 32(3), 571-582, 1996.
12. Indelman, P., and B. Abramovich, A higher-order approximation to effective conductivity in media of anisotropic random structure, Water Resour. Res., 30(6), 1857-1864, 1994.