Diffusion in Saturated Soil. I: Background
Publication: Journal of Geotechnical Engineering
Volume 117, Issue 3
Abstract
Recent studies suggest that diffusion may be an important, if not dominant, mechanism of contaminant transport through waste containment barriers. This paper represents the first of two papers pertaining to the measurement of diffusion coefficients of inorganic chemicals diffusing in saturated soil. In this paper, both steady‐state and transient equations describing the diffusive transport of inorganic chemicals are presented. Several factors affecting diffusion coefficients are identified. A method for measuring diffusion coefficients for compacted clay soil is described. The definition for the diffusion coefficient for diffusion in soil (known as the effective diffusion coefficient, is shown to vary widely. In general, variations in the definition of result from consideration of the different factors that influence diffusion of solutes in soil and the different ways of including the volumetric water content in the governing equations. As a result of the variation in the definition of errors in interpretation and comparison of values can result if the appropriate definition for is not used.
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References
1.
Barraclough, D., and Nye, P. H. (1979). “The effect of molecular size on diffusion characteristics in soil.” J. Soil Sci., 30(1), 29–42.
2.
Barraclough, P. B., and Tinker, P. B. (1981). “The determination of ionic diffusion coefficients in field soils. I. Diffusion coefficients in sieved soils in relation to water content and bulk density.” J. Soil Sci., 32(2), 225–236.
3.
Barraclough, P. B., and Tinker, P. B. (1982). “The determination of ionic diffusion coefficients in field soils. II. Diffusion of bromide ions in undisturbed soil cores.” J. Soil Sci., 33(1), 13–24.
4.
Barrer, R. M. (1951). Diffusion in and through solids. Cambridge University Press, Cambridge, England.
5.
Bear, J. (1972). Dynamics of fluids in porous media. American Elsevier, New York, N.Y.
6.
Berner, R. A. (1971). Principles of chemical sedimentology. McGraw‐Hill, Inc., New York, N.Y.
7.
Bird, R. B., Stewart, W. E., and Lightfoot, E. L. (1960). Transport phenomena. John Wiley and Sons, Inc., New York, N.Y.
8.
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, 2nd Ed., Oxford University Press, Oxford, England.
9.
Crank, J. (1975). The mathematics of diffusion, 2nd Ed., Clarendon Press, Oxford, England.
10.
Crooks, V. E., and Quigley, R. M. (1984). “Saline leachate migration through clay: A comparative laboratory and field investigation.” Can. Geotech. J., 21(2), 349–362.
11.
Daniel, D. E., and Shackelford, C. D. (1988). “Disposal barriers that release contaminants only by molecular diffusion.” Nucl. Chem. Waste Manage., 8, 299–305.
12.
Desaulniers, D. E., Cherry, J. A., and Fritz, P. (1981). “Origin, age and movement of pore water in argillaceous quaternary deposits at four sites in southwestern Ontario.” J. Hydrol, 50(1–3), 231–257.
13.
Desaulniers, D. E., Cherry, J. A., and Fritz, P. (1982). “Origin, age and movement of pore water in clayey pleistocene deposits in South Central Canada.” Isotope studies in hydrogeologic processes, E. C. Perry and C. W. Montgomery, eds., Northern Illinois University Press, Dekalb, Ill., 45–55.
14.
Desaulniers, D. E., Cherry, J. A., and Gillham, R. W. (1984). “Hydrogeologic analysis of long term solute migration in thick clayey quaternary deposits.” Proc., Int. Symp. on Groundwater Resour. Utilization and Contaminant Hydrogeology, International Association of Hydrogeologists, May, 2, 349–356.
15.
Desaulniers, D. E., Kaufman, R. S., Cherry, J. A., and Bentley, H. W. (1986). “ variations in a diffusion‐controlled groundwater system.” Geochimica et Cosmochimica Acta, Oxford, England, 50(8), 1757–1764.
16.
Drever, J. I. (1982). The geochemistry of natural waters. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
17.
Freeze, R. A., and Cherry, J. A. (1979). Groundwater, Prentice‐Hall, Inc., Englewood Cliffs, N.J.
18.
Gillham, R. W., Robin, M. J. L., Dytynyshyn, D. J., and Johnston, H. M. (1984). “Diffusion of nonreactive and reactive solutes through fine‐grained barrier materials.” Can. Geotech. J., 21(3), 541–550.
19.
Gillham, R. W., Sharma, H. D., and Robin, M. J. L. (1985). “The effect of temperature and groundwater composition on the diffusion of in a 50% mixture of silica sand and avonlea bentonite.” Final Report, Univ. of Waterloo Res. Inst., Waterloo, Ontario, Dec.
20.
Goodall, D. C., and Quigley, R. M. (1977). “Pollutant migration from two sanitary landfill sites near Sarnia, Ontario.” Can. Geotech. J., 14(2), 223–236.
21.
Greenberg, J. A., Mitchell, J. K., and Witherspoon, P. A. (1973). “Coupled salt and water flows in a groundwater basin.” J. Geophys. Res., 78(27), 6341–6353.
22.
Hanshaw, B. B., and Coplen, T. B. (1973). “Ultrafiltration by a compacted clay membrane—II. Sodium ion exclusion at various ionic strengths.” Geochimica et Cosmochimica Acta, Oxford, England, 37(10), 2311–2327.
23.
Helfferich, F. (1962). Ion exchange. McGraw‐Hill, Inc., New York, N.Y.
24.
Johnson, R. L., Cherry, J. A., and Pankow, J. F. (1989). “Diffusive contaminant transport in natural clay: A field example and implications for clay‐lined waste disposal sites.” J. Envir. Sci. and Tech., 23(3), 340–349.
25.
Johnston, H. M., Gillham, R. W., Robin, M. J. L., Sharma, H. D., and Wilmot, D. J. (1984). “Evaluation of diffusion coefficients for strontium in buffer materials.” Report No. 84‐298‐K, Ontario Hydro Res. Div.
26.
Jost, W. (1960). Diffusion in solids, liquids, and gases. Academic Press, New York, N.Y.
27.
Kemper, W. D., Maasland, D. E. L., and Porter, L. K. (1964). “Mobility of water adjacent to mineral surfaces.” Proc. Soil Sci. Society of America, 28(2 )164–167.
28.
Letman, A. (1979). Geochemical processes—water and sediment environments. John Wiley and Sons, Inc., New York, N.Y.
29.
Li, Y.‐H., and Gregory, S. (1974). “Diffusion of ions in sea water and in deep‐sea sediments.” Geochimica et Cosmochimica Acta, 38(5), 703–714.
30.
Low, P. F. (1981). “Principles of ion diffusion in clays.” Chemistry in the soil environment, ASA Special Publication No. 40, Amer. Society for Agronomy, Madison, Wis., 31–45.
31.
McKelvey, J. G., and Milne, I. H. (1962). “The flow of salt solutions through compacted clay.” Clays and Clay Minerals, 9, 248–259.
32.
Melnyk, T. W. (1985). “Effects of sorption behavior on contaminant migration.” Report AECL‐8390, Atomic Energy of Canada Limited, Whiteshell Nuclear Res. Establishment, Pinawa, Manitoba, Canada.
33.
Mitchell, J. K. (1976). Fundamentals of soil behavior. John Wiley and Sons, Inc., New York, N.Y.
34.
Mott, C. J. B., and Nye, P. H. (1968). “Contribution of adsorbed strontium to its self‐diffusion in a moisture‐saturated soil.” Soil Sci., 105(1), 18–23.
35.
Nye, P. H. (1979). “Diffusion of ions and uncharged solutes in soils and soil clays.” Advances in Agronomy, 31, 225–272.
36.
Olsen, H. W. (1969). “Simultaneous fluxes of liquid and charge in saturated kaolinite.” Proc. Soil Science Society of America, 33(3), 338–344.
37.
Olsen, S. R., and Kemper, W. D. (1968). “Movement of nutrients to plant roots.” Advances in Agronomy, 20, 91–151.
38.
Olsen, S. R., Kemper, W. D., and van Schaik, J. C. (1965). “Self‐diffusion coefficients of phosphorous in soil measured by transient and steady‐state methods.” Proc., Soil Science Society of America, 29(2), 154–158.
39.
Porter, L. K., Kemper, W. D., Jackson, R. D., and Stewart, B. A. (1960). “Chloride diffusion in soils as influenced by moisture content.” Proc., Soil Science Society of America, 24(6), 400–403.
40.
Quigley, R. M., and Rowe, R. K. (1986). “Leachate migration through clay below a domestic waste landfill, Sarnia, Ontario, Canada: chemical interpretation and modelling philosophies.” Hazardous and industrial solid waste testing and disposal, STP 933, D. Lorenzen, et al., (eds.), ASTM, Philadelphia, Pa., 93–103.
41.
Quigley, R. M., Yanful, E. K., and Fernandez, F. (1987). “Ion transfer by diffusion through clayey barriers.” Geotechnical practice for waste disposal, Special Publication No. 13, R. D. Woods, ASCE, New York, N.Y., 137–158.
42.
Robinson, R. A., and Stokes, R. H. (1959). Electrolyte solutions, 2nd Ed., Butterworths Scientific Publications, London, England.
43.
Romkens, M. J. M., and Bruce, R. R. (1964). “Nitrate diffusivity in relation to moisture content of non‐adsorbing porous media.” Soil Sci., 98(5), 333–337.
44.
Rowe, R. K. (1987). “Pollutant transport through barriers.” Geotechnical practice for waste disposal, Special Publication No. 13, R. D. Woods, ed., ASCE, 159–181.
45.
Rowe, R. K., Caers, C. J., and Barone, F. (1988). “Laboratory determination of diffusion and distribution coefficients of contaminants using undisturbed clayey soil.” Can. Geotech. J., 25(1), 108–118.
46.
Rowe, R. K., Caers, C. J., and Crooks, V. E. (1985). “Pollutant migration through clay soils.” Proc., 11th Int. Conf. on Soil Mech. and Foundation Engrg., International Society for Soil Mechanics and Foundation Engineering, 1293–1298.
47.
Shackelford, C. D. (1988). “Diffusion of inorganic chemical wastes in compacted clay,” thesis presented to the University of Texas, at Austin, Tex., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
48.
Shackelford, C. D. (1989). “Diffusion of contaminants through waste containment barriers.” Transp. Res. Rec., 1219, 169–182.
49.
Shackelford, C. D. (1991). “Laboratory diffusion testing for waste disposal—A review.” J. Contaminant Hydro., Amsterdam, the Netherlands, 7(3).
50.
Shackelford, C. D., Daniel, D. E., and Liljestrand, H. M. (1989). “Diffusion of inorganic chemical species in compacted clay soil.” J. Contaminant Hydro., Amsterdam, the Netherlands, 4(3), 441–473.
51.
Stoessell, R. K., and Hanor, J. S. (1975). “A nonsteady state method for determining diffusion coefficients in porous media.” J. Geophys. Res., 80(36), 4,979–4,982.
52.
van Schaik, J. C., and Kemper, W. D. (1966). “Chloride diffusion in clay‐water systems.” Proc., Soil Science Society of America, 30(1), 22–25.
53.
Warncke, D. D., and Barber, S. A. (1972). “Diffusion of zinc in soil: I. The influence of soil moisture.” Proc., Soil Science Society of America, 36(1), 39–42.
Information & Authors
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Published In
Journal of Geotechnical Engineering
Volume 117 • Issue 3 • March 1991
Pages: 467 - 484
Copyright
Copyright © 1991 ASCE.
History
Published online: Mar 1, 1991
Published in print: Mar 1991
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