Interlayer diffusive transfer and transport of contaminants in stratified formation. II: Analytical solutions

Journal of Hydrologic Engineering

Volumn 3, Issue 4, 1998, Pages 241-247

  Hantush, Mohamed M ^a   Mariño, Miguel A ^b  

^a U S ENVIRONMENTAL PROTECTION AGENCY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Analytical Method; Layered medium; Modeling; Permeability; Pollutant transport

Indexed keywords

AQUIFERS; CAPACITANCE; COMPUTER SIMULATION; DIFFUSION IN LIQUIDS; FOURIER TRANSFORMS; GROUNDWATER POLLUTION; IMPURITIES; LAPLACE TRANSFORMS; MASS TRANSFER; MATHEMATICAL MODELS;

INTERLAYER DIFFUSIVE TRANSFER;

HYDROLOGY;

ANALYTICAL METHOD; LAYERED MEDIUM; MODELING; PERMEABILITY; POLLUTANT TRANSPORT;

EID: 0032194787     PISSN: 10840699     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)1084-0699(1998)3:4(241)     Document Type: Article

References (33)

1. Baker, L. E. (1977). "Effects of dispersion and dead-end pore volume in miscible flooding." Soc. Petroleum Engrg. J., 7, 219-227.
2. Bear, J. (1972). Dynamics of fluids in porous media. Elsevier, New York.
3. Bear J. (1977). "On the aquifer's balance equations." Adv. Water Resour., 1(1), 15-24.
4. Bennet, A., and Goodridge, F. (1970). "Hydrodynamics and mass transfer studies in packed adsorption columns: 1. Axial liquid dispersion." Trans. Int. Chem. Engrg., 48, 232-244.
5. Bond, W. J., and Wierenga, P. J. (1990). "Immobile water during solute transport in unsaturated sand columns." Water Resour. Res., 26(10), 2475-2481.
6. Carnahan, C. L., and Remer, J. S. (1984). "Nonequilibrium and equilibrium sorption with a linear sorption isotherm during mass transport through an infinite porous medium: Some analytical solutions." J. Hydro., Amsterdam, The Netherlands, 73, 227-258.
7. Coats, K. H., and Smith, B. D. (1964). "Dead-end pore volume and dispersion in porous media." Soc. Petroleum Engrg. J., 73-84.
8. De Smedt, F., and Wierenga, P. J. (1979). "A generalized solution for solute flow in soils with mobile and immobile water." Water Resour. Res. 15, 1137-1141.
9. De Smedt, F., and Wierenga, P. J. (1984). "Solute transfer through columns of glass beads." Water Resour. Res., 20, 225-232.
10. Gelhar, L. W., and Axness, C. L. (1983). "Three-dimensional stochastic analysis of macrodispersion in aquifers." Water Resour. Res., 19(1), 161-180.
11. Gillham, R. W., Sudicky, E. A., Cherry, J. A., and Frind, E. O. (1984). "An advection-diffusion concept for solute transport in heterogeneous unconsolidated geological deposits." Water Resour. Res., 20(3), 369-378.
12. Goltz, M. N., and Roberts, P. V. (1986). "Three-dimensional solutions for solute transport in an infinite medium with mobile and immobile zones." Water Resour. Res., 22(7), 1139-1148.
13. Grisak, G. E., and Pickens, J. F. (1980). "Solute transport through fractured media 1. The effect of matrix diffusion." Water Resour. Res., 16(4), 719-730.
14. Haggerty, R., and Gorelick, S. M. (1995). "Multiple-rate mass transfer for modeling diffusion and surface reactions in media with pore-scale heterogeneity." Water Resour. Res., 31(10), 2383-2400.
15. Hantush, M. M., and Mariño, M. A. (1998). "Interlayer diffusive transfer and transport of contaminants in stratified formation. I: Theory. J. Hydrologic Engrg., ASCE, 3(4), 232-240.
16. Harvey, C. F., Haggerty, R., and Gorelick, S. M. (1994). "Aquifer remediation: A method for estimating mass transfer rate coefficients and an evaluation of pulsed pumping." Water Resour. Res., 30(7), 1979-1991.
17. Harvey, C. F., and Gorelick, S. M. (1995). "Temporal moment-generating equations: Modeling transport and mass transfer in heterogeneous aquifers." Water Resour. Res., 31(8), 1895-1911.
18. Lindstrom, F. T., and Narasimham, M. N. L. (1973). "Mathematical theory of a kinetic model for dispersion of previously distributed chemicals in a sorbing porous medium." SIAM J. Appl. Math., 24(4), 496-510.
19. Lindstrom, F. T., and Stone, W. M. (1974). "On the start up or initial phase of linear mass transport of chemicals in a water saturated sorbing porous medium." SIAM J. Appl. Math., 26(3), 578-591.
20. Neuman, S. P., Winter, C. L., and Newman, C. M. (1987). "Stochastic theory of field-scale Fickian dispersion in anisotropic porous media." Water Resour. Res., 23(3), 453-466.
21. Parker, J. C., and Valocchi, A. J. (1986). "Constraints on the validity of equilibrium and first-order kinetic transport models in structured soils." Water Resour. Res., 22(3), 399-407.
22. Passioura, J. B. (1971). "Hydrodynamic dispersion in aggregated media, 1. Theory." Soil Sci., 111(6), 339-344.
23. Piquemal, J. (1993). "On the modeling conditions of mass transfer in porous media presenting capacitance effects by a dispersion-convection equation for the mobile fluid and a diffusion equation for the stagnant fluid." Transport in Porous Media, 10, 271-283.
24. Rao, P. S. C., Rolston, D. E., Jessup, R. E., and Davidson, J. M. (1980). "Solute transport in aggregated porous media: Theoretical and experimental evaluation." Soil Sci. Soc. Am. J., 44, 1139-1146.
25. Raven, K. G., Novakowski, K. S., and Lapcevic, P. A. (1988). "Interpretation of field tracer tests of a single fracture using transient solute storage model." Water Resour. Res., 24(12), 2019-2032.
26. Roberts, G. E., and Kaufman, H. (1966). Table of Laplace transforms. W. B. Saunders Co., Philadelphia, Pa.
27. Skopp, J., and Warrick, A. W. (1974). "A two-phase model for the miscible displacement of reactive solutes in soils." Soil Sci. Soc. Am. J., 38, 545-550.
28. Sudicky, E. A., Cherry, J. A., and Frind, E. O. (1983). "Migration of contaminants in groundwater at a landfill: A case study, 4, A natural-gradient dispersion test." J. Hydro., Amsterdam, The Netherlands, 63, 81-108.
29. Sudicky, E. A., Gillham, R. W., and Frind, E. O. (1985). "Experimental investigation of solute transport in stratified porous media. 1. The nonreactive case." Water Resour. Res., 21(7), 1035-1041.
30. Tang, D. H., Frind, E. O., and Sudicky, E. A. (1981). "Contaminant transport in fractured porous media: Analytical solution for a single fracture." Water Resour. Res., 17(3), 555-564.
31. Tang, Y., and Aral, M. M. (1992). "Contaminant transport in layered porous media 1. General solution." Water Resour. Res., 28(5), 1389-1397.
32. Van Genuchten, M. T., and Wierenga, P. J. (1976). "Mass transfer studies in sorbing porous media I. Analytical solutions." Soil Sci. Soc. Am. J., 40(4), 473-480.
33. 2O)." Soil Sci. Soc. Am. J., 41, 272-278.