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Modelling Glass Dissolution in Clay with Analytic and StochasticMethods

Published online by Cambridge University Press:  03 September 2012

Marc Aertsens
Marc Aertsens*
Affiliation:
SCK·CEN, Boeretang 200, B-2400 Mol, Belgium.
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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. Wedo this by giving a large number of particles Brownian displacements.Simultaneously, these particles can participate in other processes, like achemical reaction or convection.

We apply this method to solve the Pescatore model for the dissolution ofnuclear glass in clay. This model combines diffusion of silica in the porewater 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 clayslurries (with a high and with a low clay content) and in pure clay. Wepresent the values of the fitting parameters. The solution of the model,obtained by the simulation method, agrees with the analytical solution. Wealso extend the Pescatore model with a moving boundary, taking into accountthe receding of the glass surface by corrosion.

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References

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