Extension of the Feller-Fokker-Planck equation to two and three dimensions for modeling solute transport in fractal porous media

Water Resources Research

Volumn 33, Issue 5, 1997, Pages 1195-1197

  Su, Ninghu ^a  

^a LANDCARE RESEARCH   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

CONVOLUTION; FRACTALS; INVERSE PROBLEMS; LAPLACE TRANSFORMS; MATHEMATICAL TRANSFORMATIONS; POROUS MATERIALS; SOLUTE TRANSPORT; TIMING JITTER;

CONVOLUTION INTEGRALS; DISPERSIVE EQUATIONS; DUPUIT APPROXIMATION; FRACTAL POROUS MEDIA; HETEROGENEOUS POROUS MEDIA; SIMILARITY SOLUTION; THREE DIMENSIONS; TWO DIMENSIONAL (2 D);

FOKKER PLANCK EQUATION;

FOKKER-PLANCK EQUATION; MODELLING; POROUS MEDIA; SOLUTE TRANSPORT;

EID: 0030745236     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/97WR00387     Document Type: Article

References (13)

1. Bear, J., Dynamics of Fluids in Porous Media, Elsevier, New York, 1972.
2. Bear, J., and J.-M. Buchlin (Eds.), Modelling and Applications of Transport Phenomena in Porous Media, Kluwer Acad., Norwell, Mass., 1991.
3. Bird, R. B., W. E. Stewart, and E. N. Lightfoot, Transport Phenomena, John Wiley, New York, 1960.
4. Chang, J., and Y. C. Yortsos, Pressure-transient analysis of fractal reservoirs, SPE Form. Evalu., 5, 31-38, 1990.
5. Hill, J. M., and J. N. Dewynne, Heat Conduction, Blackwell Sci., Oxford, 1987.
6. Javandel, I., C. Doughty, and C. F. Tsang, Groundwater Transport: Handbook of Mathematical Models, Water Resour. Monogr. Ser., vol. 10, AGU, Washington, D. C., 1984.
7. Korvin, G., Fractal Models in the Earth Sciences, Elsevier, New York, 1992.
8. Mariño, M. A., and J. N. Luthin, Seepage and Groundwater, Elsevier, New York, 1982.
9. Su, N., Development of the Fokker-Planck equation and its solutions for modeling transport of conservative and reactive solutes in physically heterogeneous media, Water Resour. Res., 31(12), 3025-3032, 1995.
10. Taylor, G., Dispersion of soluble matter in solvent flowing slowly through a tube, Proc. R. Soc. London, Ser. A, 219, 186-203, 1953.
11. Tyler, S. W., and S. W. Wheatcraft, Reply to comment by J. R. Philip on "An explanation of scale-dependent dispersivity in heterogeneous aquifers using concepts of fractal geometry" by S. W. Wheatcraft and S. W. Tyler, Water Resour. Res., 28(5), 1487-1490, 1992.
12. Werner, P. W., Some problems in non-artesian ground-water flow, Eos Trans. AGU, 38(4), 511-518, 1957.
13. Wheatcraft, S. W., and S. W. Tyler, An explanation of scale-dependent dispersivity in heterogeneous aquifers using concepts of fractal geometry, Water Resour. Res., 24(4), 566-578, 1988.