Hostname: page-component-6bf8c574d5-8gtf8 Total loading time: 0 Render date: 2025-02-15T10:16:40.773Z Has data issue: false hasContentIssue false
  • English
  • Français

Modelling Glass Dissolution in Clay with Analytic and Stochastic Methods

Published online by Cambridge University Press:  03 September 2012

Marc Aertsens
Marc Aertsens*
Affiliation:
SCK·CEN, Boeretang 200, B-2400 Mol, Belgium.
Get access

Abstract

We present a stochastic method to model the dissolution of nuclear glass. Using this method, we solve the diffusion equation in a stochastic way. We do this by giving a large number of particles Brownian displacements. Simultaneously, these particles can participate in other processes, like a chemical reaction or convection.

We apply this method to solve the Pescatore model for the dissolution of nuclear glass in clay. This model combines diffusion of silica in the pore water of the clay with the glass dissolution rate law proposed by Grambow. We use the model for fitting the dissolution data of four glasses in clay slurries (with a high and with a low clay content) and in pure clay. We present the values of the fitting parameters. The solution of the model, obtained by the simulation method, agrees with the analytical solution. We also extend the Pescatore model with a moving boundary, taking into account the receding of the glass surface by corrosion.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 465: Symposium II – Scienfific Basis for Nuclear Waste Management XX , 1996 , 197
Copyright
Copyright © Materials Research Society 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Van Iseghem, P., Amaya, T., Suzuki, Y., Yamamoto, H., J. Nucl. Mat., 190. 269 (1992).Google Scholar
2. Grambow, B., Lutze, W., Muller, R., Mat. Res. Soc. Symp. Proc. 257. 143 (1992).Google Scholar
3. Grambow, B., Nuclear waste glass dissolution: mechanism, model and application (Report to the JSS-project 87–02, phase IV, 1987).Google Scholar
4. Delage, F., Ghaleb, D., Dussossoy, J., Chevallier, J., Vernaz, E., J. Nucl. Mat., 190, 191 (1992).Google Scholar
5. Pescatore, C., Radiochim. Acta, 66/67, 439 (1994).Google Scholar
6. Curii, E., Smith, P., Mat. Res. Soc. Symp. Proc, 212, 31 (1990).Google Scholar
7. Aertsens, M., Van Iseghem, P., Mat. Res. Soc. Symp. Proc., 412, p. 271 (1996).Google Scholar
8. Grambow, B., Hermansson, H., Bjorner, I, Werme, L., Mat. Res. Soc. Symp. Proc., 50, 187 (1985).Google Scholar
9. Crank, J., The mathematics of diffusion (Clarendon Press, Oxford, 1975).Google Scholar
10. Tan, K., Principles of soil chemistry (Marcel Dekker, New York, Basel, Hong Kong, 1993).Google Scholar