An Analytical Solution for Contaminant Transport in Nonuniform Flow

Transport in Porous Media

Volumn 27, Issue 1, 1997, Pages 85-97

  Tartakovsky, Daniel M ^a,c   Di Federico, Vittorio ^b  

^a UNIVERSITY OF ARIZONA   (United States)

^b UNIVERSITY OF BOLOGNA   (Italy)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Analytical solution; Hydrodynamic dispersion; Nonuniform flow

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; EMBANKMENTS; FLOW OF WATER; IMPURITIES; MATHEMATICAL TRANSFORMATIONS;

DUPUIT APPROXIMATION; DUPUIT FORCHHEIMER DISCHARGE FORMULA; NONUNIFORM FLOW;

MASS TRANSFER;

FLOW RATE; GROUNDWATER; POLLUTANT TRANSPORT;

CONTAMINANT TRANSPORT; DISCHARGE; DUPUIT-FORCHHEIMER MODEL; EMBANKMENT; FLOW RATE; FLUID FLOW; NON-UNIFORM FLOW; NONUNIFORM; NONUNIFORM FLOW; POLLUTANT TRANSPORT;

EID: 0031126415     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006579817668     Document Type: Article

References (20)

1. Bear, J.: 1972, Dynamics of Fluids in Porous Media, Elsevier, New York.
2. Bear, J. and Verruijt, A.: 1987, Modeling Groundwater Flow and Pollution, D. Reidel Publishing Company, Dordrecht.
3. Cleary, R. W. and Ungs, M. J.: 1978, Groundwater pollution and hydrology, mathematical models and computer programs, Rep. 78-WR-15, Water Resour. Program, Princeton Univ., Princeton, N.J.
4. Ellsworth, T. R. and Butters, G. L.: 1993, Three-dimensional analytical solutions to the advection-dispersion equation in arbitrary Cartesian coordinates, Water Resour. Res. 29(9), 3215-3225.
5. Fanchi, C. M.: 1983, Multidimensional numerical dispersion, Soc. Pet. Eng. J. (February), 143-151.
6. Fletcher, C. A. J.: 1988, Computational Techniques for Fluid Dynamics, Vol. I, Springer-Verlag, Berlin.
7. Fry, V. A., Istok, J. D. and Guenther, R. B.: 1993, An analytical solution to the solute transport equation with rate-limited desorption and decay, Water Resour. Res. 29(9), 3201-3208.
8. Grishin, M. M.: 1982, Hydraulic Structures, Part 1, Mir Publishers, Moscow.
9. Istok, J.: 1989, Groundwater Modeling by the Finite Element Method, AGU, Washington, D.C..
10. Latinopoulos, P., Tolikas, D. and Mylopoulos, Y.: 1988, Analytical solutions for two-dimensional chemical transport in aquifers, J. Hydrol. 98, 11-19.
11. Leij, F. J., Skaggs, T. H. and van Genuchten, M. T.: 1991, Analytical solutions for solute transport in three-dimensional semi-infinite porous media, Water Resour. Res. 27(7), 1748-1756.
12. Neuman, S. P.: 1976, User's guide for FREESURF I, Deparment of Hydrology and Water Resources, University of Arizona, Tucson.
13. Neuman, S. P. and Witherspoon, P. A.: 1970, Finite element method of analyzing steady seepage with a free surface, Water Resour. Res. 6(3), 889-897.
14. Nikolaevskij, V. N.: 1990, Mechanics of Porous and Fractured Media, Teaneck, N.J. Singapore.
15. Ogata, A.: 1976, Two-dimensional steady-state dispersion in a saturated porous medium, J. Res. U.S. Geol. Survey, 4(3), 277-284.
16. Polubarinova-Kochina, P. Ya.: 1962, Theory of Ground Water Movement, Princeton University Press, Princeton, N.J.
17. Serrano, S. E.: 1992, The form of the dispersion equation under recharge and variable velocity, and its analytical solution, Water Resour. Res. 28(7), 1801-1808.
18. Taylor, S. W. and Jaffe, P. R.: 1991, Enhanced in-situ biodegradation and aquifer permeability reduction, J. Environ. Eng., NY 117, 24-25.
19. Yates, S. R.: 1988, Three-dimensional radial dispersion in a variable velocity flow field, Water Resour. Res. 24(7), 1083-1090.
20. Yates, S. R.: 1992, An analytical solution for one- dimensional transport in porous media with an exponential dispersion function, Water Resour. Res. 28(8), 2149-2153.