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Mass Transfer in a Geologic Environment

Published online by Cambridge University Press:  26 February 2011

S. J. Zavoshy,
P. L. Chambre' and
T. H. Pigford
S. J. Zavoshy
Affiliation:
Department of Nuclear Engineering University of California Berkeley, California 94720
P. L. Chambre'
Affiliation:
Department of Nuclear Engineering University of California Berkeley, California 94720
T. H. Pigford
Affiliation:
Department of Nuclear Engineering University of California Berkeley, California 94720
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Abstract

A new analytical solution is presented that predicts the rate of dissolution of species from a waste package surrounded by a wet porous medium. By equating the rate of diffusive mass transfer into the porous rock to the rate of liquid-surface chemical reaction, an analytical solution for the timedependent dissolution rate and the time-dependent concentration of dissolved species at the waste surface is obtained. From these results it is shown that for most of the important species in a package of radioactive waste the surface liquid quickly reaches near-saturation concentrations and the dissolution rate can be predicted by the simpler theory that assumes saturation concentrations in the surface liquid.

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