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Ionic Transport in Compacted Bentonite: Preliminary Equilibrium Results

Published online by Cambridge University Press:  10 February 2011

J. Lehikoinen
Affiliation:
VTT Chemical Technology, Industrial Physics, P.O. Box 1404, FIN-02044 VTT, Finland
A. Muurinen
Affiliation:
VTT Chemical Technology, Industrial Physics, P.O. Box 1404, FIN-02044 VTT, Finland
M. Olin
Affiliation:
VTT Chemical Technology, Environmental Technology, P.O. Box 1403, FIN-02044 VTT, Finland
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Abstract

An attempt is made to decompose some quantities, most commonly integrated over the chemical composition, the structure of the pore network and the time scale, into their differential counterparts. Into this category typically fall, say, the apparent diffusivities of ionic species. To serve this objective, a two-dimensional unsteady molecular-level electrokinetic transport model for ionic species in bentonite clays will be developed. The model incorporates additional features to the conventional Gouy-Chapman (GC) theory: ionic hydration, dielectric saturation, and the volume exclusion of ions. The governing equations for the flow of electrolyte solution through the pores are solved by an iterative numerical scheme to relate the characteristics of the flow to the characteristics of the pores and to the composition of the external solution in contact with the clay. The pore geometry of the clay is modelled as an array of non-interconnected tortuous channels with no parallel or serial-type non-uniformities along the pathway. This roughly corresponds to the picture of clay particles of infinite extent aligned in parallel and spaced apart by a constant distance. The model aims to simulate and interpret equilibrium and transport experiments for bentonite clays containing different types of background electrolytes at various compactions. Specifically, emphasis is placed on quantifying the extent of co-ion exclusion and understanding the postulated surface diffusion mechanism on the basis of the well-established electric double-layer (EDL) theory. This contribution presents and discusses some preliminary results, based on the modified Boltzmann statistics, for the equilibrating part of the model.

Type
Research Article
Copyright
Copyright © Materials Research Society 1998

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References

REFERENCES

1 Born, M., Z. Phys., 1, 45 (1920).Google Scholar
2 Pintauro, P., and Verbrugge, M.W., J. Membrane Sci., 44, 197 (1989).Google Scholar
3 Paunov, V.N., Dimova, R.I., Kralchevsky, P.A., Broze, G., and Mehreteab, A., J. Colloid Interface Sci., 182, 239 (1996).Google Scholar
4 Gur, Y., Ravina, I., and Babchin, A.J., J. Colloidinterface Sci., 64, 326 (1978).Google Scholar
5 Hill, T.L., An Introduction to Statistical Thermodynamics (Addison-Wesley Publishing Company, Inc., Reading, 1960), p. 508.Google Scholar
6 Booth, F., J. Chem. Phys., 19, 391, 1327 (1951).Google Scholar
7 Marcus, Y., Ion Solvation (John Wiley & Sons Ltd., Chichester, 1985), p. 306.Google Scholar
8 Basu, S., and Sharma, M.M., J. Colloid Interface Sci., 165, 355 (1994).Google Scholar
9 Krishna, R., and Wesselingh, J.A., Chem. Engng. Sci., 52, 861 (1997).Google Scholar
10 Low, P.F., Langmuir, 3, 18 (1987).Google Scholar
11 da, E.N. Andrade, C., and Dodd, C., Proc. Royal Soc. (London), A204, 449 (1950).Google Scholar
12 Hunter, R.J., and Leyendekkers, J.V., J. Chem. Soc., Faraday Trans. 1, 74, 450 (1978).Google Scholar
13 Robinson, R.A., and Stokes, R.H., Electrolyte Solutions, 2nd ed. (Butterworth Scientific Publications, London, 1959), p. 559.Google Scholar
14 Muurinen, A., VTT Publications 168, 1994.Google Scholar
15 Rasmuson, A., and Neretnieks, I., Report SKB 83-37, 1983.Google Scholar
16 Torstenfelt, B., Allard, B., Andersson, K., Kipatsi, H., Eliasson, L., Olofsson, U., and Persson, H., Report SKBF/KBS 83-34, 1983.Google Scholar
17 Soudek, A., Jahnke, F.M., and Radke, C.J., Report NUREG/CP-0052, 1984.Google Scholar
18 Berry, J.A., and Bond, K.A., Report DOE/HMIP/PR/90/076, 1990.Google Scholar
19 Horseman, S.T., Higgo, J.J.W., Alexander, J., and Harrington, J.F., Report CC-96/1, NEA, 1996.Google Scholar
20 Kato, H., Muroi, M., Yamada, N., Ishida, H., and Sato, H., in Scientific Basis for Nuclear Waste Management XVIII, edited by Murakami, T. and Ewing, R.C. (Mater. Res. Soc. Proc. 353, Pittsburgh, PA, 1995), pp. 277284.Google Scholar