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A Theoretical Study of the Effect of the Leach Interval on a Semidynamic Leach Test (Ansi/Ans-16.1-1986)

  • Roger D. Spence (a1) and Richard L. Cox (a2)

Abstract

Numerical solution of Fick's second law of diffusion demonstrated that the error introduced in the ANSI/ANS-16.1-1986 procedure, by assuming a zero surface concentration, varied from about 30% for a leachability index of 5 to about 0.1% for an index of 10. Waste forms typically have indexes of 7 or greater, implying errors of less than 5% with this assumption. The estimated leachability index differs from the actual value by less than 0.2 when the numerical solution is analyzed as input experimental data, except for a leachability index as low as 5 (essentially the value for water).

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1ANSI/ANS-16.1-1986, American National Standards Institute, “Measurement of the Leachability of Solidified Low-Level Radioactive Wastes by a Short-Term Test Procedure,” American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60525 (April 1986).
2 Crank, J., The Mathematics of Diffusion, Oxford University Press, New York, NY, 1957.
3 Carslaw, H. S., and Jaeger, J. C., Conduction of Heat in Solids, 2nd ed., Oxford University Press, New York, NY, 1959.
4 Sincovec, R. F. and Madsen, N. K., ACM Trans. Math. Software 1, 232260 (1975).
5 Nestor, C. W. Jr, Godbee, H. W., and Joy, D. S., “NEWBOX: A Computer Program for Parameter Estimation in Diffusion Problems,” ORNL/TM-10910 Oak Ridge National Laboratory, Oak Ridge, TN (in preparation).

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