Abstract
Most of the mathematical models used to describe the transport of contaminants in aquifers are based on convection-dispersion equation (CDE) in which transport coefficients are uniform constants. The “classical” CDE, however, fails to describe solute transport in heterogeneous aquifers where hydraulic properties (such as hydraulic conductivity and porosity) of the media exhibit a wide distribution in space. Experiments on solute transport under such conditions have shown that field data on dispersion coefficients are not uniform constants and can increase with the scale of field experiments [Fried, 1975; Schwydler, 1985; Pickens and Grisak, 1981a, 1981b; Bochever and Oradovskay, 1972; Mironenko and Rumynin, 1986].
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Alexeev, V. S., G. M. Communar, and B. S. Shergukov, (1989). Mass transport in an aquifer, Progress of Science and Technology. Hydrogeology. Vol.II, Moscow, 244p.
Aris. R., (1956). On the dispersion of a solute in fluid flowing in a tube, Proc. Roy. Soc. London Ser. A., 235, 67–77.
Bochever, F. M., and A. E. Oradovskaya, (1972). Hydrogeological background of protecting ground water and water intake structures from pollution. Nedra, Moscow, 129 p.
Chatwin, P. C., (1970). The approach to normality of the concentration distribution of solute in a solvent flowing along a straight pipe, Journal of Fluid Mech., 5I(2), 321–352.
Communar, G. M., (1987). Contaminant transport in heterogeneous aquifer, VODGEO J., 37–50.
Cvetkovic, V. D., and A. M. Shapiro, (1990). Mass arrival of sorptive solute in heterogeneous porous media, Water Resources Research, 26(9), 2057–2067.
Dagan, G., (1984). Solute transport in heterogeneous porous formations, J. Fluid Mach., 145, 151–177.
Fife, P. C., and K. R. K., Nickles, (1975). Dispersion in flow through small tubes, Proc. Roy. Soc. London Ser. A., 344, 131–145.
Fried, J. J., (1975). Groundwater pollution, Elsevier, New York.
Gelhar, L.W., A. L. Gutjahr, and R. L. Naff, (1979). Stochastic analysis of macrodispersion in a stratified medium, Water Resources Research, 15(6), 1387–1397.
Guven, O., F. J. Mols, and J. G. Melville, (1984). An analysis of dispersion in stratified aquifer, Water Resources Research, 20(10), 1337–1354.
Gill, W. N., and R. Sankarasubramanian, (1970). Exact analysis of unsteady convective diffusion, Proc. Roy. Soc. London Ser. A., 316, 341–350.
Hatton, T. A., and E. N. Lightfoot, (1984). Dispersion, mass transfer and chemical reaction in multiphase systems AIChE J., 30, 235–249.
Hatton, T. A., and E. N. Lightfoot, (1984). Dispersion of trace solutes in flowing groundwater, Water Resources Research, 20(9), 1253–1259.
Marle, C., P. Simandouu, J. Pacsirsky, and C. Gaulier, (1977). Etude du desplacement de fluides miscibles en milieu poreux stratifle, Rev. Inst. Fr. Pet, 22(2), 272–294.
Matheron, G., and de Marsily, (1984). Is transport in porous media always diffusive? A counterexample, Water Resources Research, 20(10), 1337– 1354.
Mironenko, V. A., and V. G. Rumynin (1985). Experiments on tracer migration in an aquifer, Nedra, Moscow, 240 p.
Pickens, J. F., and G. E. Grisak, (1981a). Scale-dependent dispersion in hydrogeologic system, Water Resources Research, 17(4), 1191–1211.
Pickens, J. F., and G. E. Grisak, (1981b). Modeling of scale-dependent dispersion in hydrogeologic system, Water Resources Research, 17(6), 1701–1711.
Rao, P. V., K. M. Portier, and P. S. C. Rao, (1981). A Stochastic approach for describing convective-dispersive solute transport in saturated porous media, Water Resources Research, 17(4), 963–968.
Valocchi, A. J., (1989). Spatial moment analysis of the transport of kinetically adsorbing solutes through stratified aquifers, Water Resources Research, 25(2), 273–279.
Schwydler M. I., (1963). Filtration flows in heterogeneous media, Gostoptechizdat, Moscow.
Schwidler, M. I., (1985). Statistical Hydrodynamics of porous media. Nedra, Moscow, 288p.
Simmons, C. S., (1982). A Stochastic-convective transport representation of dispersion in one-dimensional porous media systems, Water Resources Research, 18(4), 1193–1214.
Taylor, G. I., (1953). The dispersion of matter in a solvent flowing slowly through a tube, Proc. Roy. Soc. London Ser. A., 219, 189–203.
Yates, S. R., (1990). An analytical solution for one-dimensional transport in heterogeneous porous media, Water Resources Research, 26(10), 2331–2338.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers
About this chapter
Cite this chapter
Communar, G. (1996). Mathematical Models of Contaminant Transport in Stratified Media. In: Aral, M.M. (eds) Advances in Groundwater Pollution Control and Remediation. NATO ASI Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0205-3_12
Download citation
DOI: https://doi.org/10.1007/978-94-009-0205-3_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-6576-4
Online ISBN: 978-94-009-0205-3
eBook Packages: Springer Book Archive