Theoretical analysis of anion exclusion and diffusive transport through platy-clay soils

Transport in Porous Media

Volumn 57, Issue 3, 2004, Pages 251-277

  Smith, David ^a   Pivonka, Peter ^a   Jungnickel, Christian ^b   Fityus, Stephen ^b  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b UNIVERSITY OF NEWCASTLE   (Australia)

Author keywords

Anion exclusion; Clay soils; Effective diffusion coefficient; Effective porosity; Gauss's electrostatic theorem; Multi ion transport; Nernst Planck equation

Indexed keywords

CELLS; DIFFUSION; LAND FILL; NEGATIVE IONS; POROUS MATERIALS; POSITIVE IONS; TRANSPORT PROPERTIES;

ANION EXCLUSION; CLAY LANDFILL LINERS; CLAY SOILS; DIFFUSIVE TRANSPORT;

SOILS;

CLAY; DIFFUSION; LANDFILL; MATHEMATICAL MODELING; POROUS MEDIUM;

CLAY SOIL; DIFFUSION; LANDFILL LINER; NUMERICAL MODEL; POROUS MEDIUM; SOLUTE TRANSPORT;

EID: 7244223519     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-003-4056-1     Document Type: Article

References (45)

1. Appelt, H., Holtzclaw, K. and Pratt, P. F.: 1975, Effect of anion exclusion on the movement of chloride through soils, Soil Sci. Soc. Am. Proc. 39, 264-267.
2. August, H., Holzlohner, U. and Meggyes, T.: 1997, Advanced Landfill Liner Systems, Thomas Telford, New York, USA.
3. Auriault, J. L. and Lewandowska, Y.: 1996, Diffusion/adsorption/advection macrotransport in soils, Eur. J. of Mech. A/Solids 15(4), 681-704.
4. Barone, F. S., Rowe, R. K. and Quigley, R. M.: 1992, A laboratory estimation of chloride diffusion and adsorption coefficients for several volatile organics in a natural clayey soil, J. Contam. Hydro. 10, 225-250.
5. 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, 225-236.
6. Bear, J. and Bachmat, Y.: 1991, Introduction to Modelling of Transport Phenomena in Porous Media, Vol. 4. Kluwer Academic Publishers, Dordrecht, The Netherlands.
7. Berry, J. A. and Bond, K. A.: 1992, Experimental investigation of radionuclide diffusion on site-specific sediment/groundwater systems, Radiochim Acta 58/59, 329-335.
8. Bond, W. J., Gardiner, B. N. and Smiles, D. E.: 1982, Constant flux adsorption of tritiated calcium chloride solution by a clay soil with anion exclusion, Soil Sci. Soc. Am. J. 46, 1133-1137.
9. Bresler, E.: 1973, Anion exclusion and coupling effects in nonsteady transport through unsaturated soils: I. theory, Soil Sci. Soc. Am. Proc. 37, 663-669.
10. Clarke, A. L. and Graham, E. R.: 1968, Zinc diffusion and distribution coefficients in soil as affected by soil texture, zinc concentration and ph, Soil Sci. 105(6), 409-418.
11. Crooks, V. E. and Quigley, R. M.: 1984, Saline leachate migration through clay: A comparative laboratory and field investigation, Can. Geotech. J. 21, 349-362.
12. Cussler, E. L.: 1997, Diffusion Mass Transfer in Fluid Systems, Cambridge University Press, New York, USA, 2nd edn.
13. Day, S. R. and Daniel, D. E.: 1985, Hydraulic conductivities of two prototype clay liners, ASCE J. Geotech. Eng. 111(8), 957-970.
14. Desaulniers, D. E., Cherry, D. E. and Fritz, P.: 1981, Origin, age and movement of pore water in clayey pleistocene deposits in South Central Canada, J. Hydro. 50, 231-257.
15. Dormieux, L. and Lemarchand, E.: 2000, Modélisation macroscopique du transport diffusif: Apport des méthodes de changement d'échelle d'éspace, Oil and Gas - Revue de l'Institut Fracais Pétrol 55(1), 15-34.
16. Dormieux, L. and Lemarchand, E.: 2001, Homogenization approach of advection and diffusion in cracked porous media, ASCE J. Eng. Mech., 127(12), 1267-1274.
17. Dutt, G. R. and Low, P. F.: 1962, Diffusion of alkali chlorides in clay-water systems. Soil Sci. 47, 233-240.
18. Gillham, R. W., Robin, M. J. L. and Dytynyshyn, D. J.: 1984, Diffusion of nonreactive and reative solutes through fine-grained barrier materials, Can. Geotech. J. 21, 541-550.
19. Ichikawa, Y., Kawamura, K., Fujii, N. and Nattavut, T.: 2002, Molecular dynamics and multiscale homogenization analysis of seepage/diffusion problem in bentonite clay, Int. J. Numer. Meth. Eng. 54, 1717-1749.
20. Iwata, S., Tabuchi, T. and Warkentin, B. P.: 1995, Soil-water interactions. Marcel Dekker, New York, USA.
21. James, R. V. and Rubin, J.: 1986, Transport of chloride in a water-unsaturated soil exhibiting anion exclusion, Soil Sci. Soc. Am. J. 50, 1142-1149.
22. Kato, M.: 1995, Numerical analysis of the Nernst-Planck-Poisson system, J. Theor. Biol. 177, 299-304.
23. Kemper, W. D. and van Schaik, J. C.: 1966, Diffusion of salts in clay-water systems, Soil Sci. Soc. Am. Proc. 30, 534-540.
24. Kozaki, T., Inada, K., Sato, S. and Ohashi, H.: 2001, Diffusion mechanism of chloride ions in sodium montmorillonite, J. Contam. Hydro. 47, 159-170.
25. Macgillivray, A.: 1968, Nernst-Planck equations and the electroneutrality and Donnan equilibrium assumptions, J. Chem. Phys. 48, 2903-2907.
26. Mitchell, J. K.: 1993, Fundamentals of Soil Behavior, John Wiley &Sons, New York, USA, 2nd edn.
27. Newman, J. S.: 1991, Electrochemical Systems, Prentice-Hall, Englewood Cliffs, NJ, USA, 2nd edn.
28. Quigley, R. M., Crooks, V. E. and Fernandez, F.: 1984, Engineered clay liners (an overview report), in Seminar on the Design and Construction of Municipial and Industrial Waste Disposal Facilities, Toronto, Ontario, Canada.
29. Quintard, M. and Whitaker, S.: 1993, Transport in ordered and disordered porous media V: Geometrical results for two dimensional systems, Trans. Porous Media 15, 183-196.
30. Revil, A.: 1999, Ionic diffusivity, electrical conductivity, membrane and thermoelectric potentials in colloids and granular porous media: A unified model, J. Colloid Interface Sci. 212, 503-522.
31. Robin, M. J. L., Gillham, R. W. and Oscarson, D. W.: 1987, Diffusion of strontium and chloride in compacted clay-based materials, Soil Sci. Soc. Am J. 51, 1102-1108.
32. Rowe, R. K.: 1998, Geosynthetics and the minimization of contaminant migration through barrier systems beneath solid waste, in 6th International Conference on Geosynthetics, pp. 27-102, Atlanta, USA.
33. Rowe, R. K.: 2001, Geotechnical and Geoenvironmental Engineering Handbook. Kluwer Academic Publishers, Dordrecht, The Netherlands.
34. Rowe, R. K. and Booker, J. R.: 1984, The analysis of pollutant migration in a non-homogeneous soil, Geotechnique 34(4), 601-612.
35. Rowe, R. K., Caers, C. J. and Barone, F.: 1988, Laboratory determination of diffusion and distribution coefficients of contaminants using undisturbed soil, Can. Geotech. J. 25, 108-118.
36. Rowe, R. K., Quigley, R. M. and Booker, J. R.: 1995, Clayey Barrier Systems for Waste Disposal Facilities, London, E&FN Spon., Melbourne, Australia.
37. Samson, E., Marchand, J. and Beaudoin, J. J.: 1999, Describing ion diffusion mechanisms in cement-based materials using the homogenization technique, Cement Concr. Res. 29, 1341-1245.
38. Sen, P. N.: 1989, Unified model of conductivity and membrane potential of porous media. Phys. Rev. B 39(13), 9508-9517.
39. Shackelford, C. D.: 1988, Diffusion of Inorganic Chemical Wastes in Compacted Clay. PhD thesis, University of Texas, Austin, Texas, USA.
40. Shackelford, C. D. and Daniel, D. E.: 1991a, Diffusion in saturated soil. I: Background. ASCE J. Geotech. Eng. 117(3), 467-484.
41. Shackelford, C. D. and Daniel, D. E.: 1991b, Diffusion in saturated soil. II: Results for compacted clay, ASCE J. Geotech. Eng. 117 3), 485-506.
42. Shukla, M. K., Klepsch, S. and Loiskandl, W.: 1999, Miscible displacement in porous media: Theoretical evaluation, Die Bodenkultur 50 2), 93-108.
43. Sposito, G.: 1989, The Chemistry of Soils, Oxford University Press, New York, USA.
44. Thomas, G. W. and Swoboda, A. R.: 1970, Anion exclusion effects on chloride movement in soils, Soil Science, 110(3), 163-166.
45. Whitaker, S.: 1999, The Method of Volume Averaging, Vol. 13. Kluwer Academic Publishers, Dordrecht, The Netherlands.