Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-25T17:50:16.544Z Has data issue: false hasContentIssue false

Radionuclide Transport Modeling of Diffusion Cell Experiments Specific to a Backfill Barrier in a Salt Repository

Published online by Cambridge University Press:  25 February 2011

Harold M. Anderson
Affiliation:
University of New Mexico, Department of Chemical and Nuclear Engineering,Albuquerque, New Mexico 87131;
John M. Pietz
Affiliation:
University of New Mexico, Department of Chemical and Nuclear Engineering,Albuquerque, New Mexico 87131;
Douglas M. Smith
Affiliation:
Montana State University, Bozeman, Montana 59717
Get access

Abstract

Experimental radionuclide migration diffusion cell data have been collected as part of the WIPP Waste Package Performance Program. This data was collected under conditions approximating geologic isolation of a backfill barrier in a salt repository. The experiments are designed to aid in the evaluation of engineered backfill barriers.

This paper describes a radionuclide transport model designed to aid interpreting experimental diffusion cell migration data and eventually to simulate the long-term effectiveness of the backfill barrier in a salt repository. The model is designed to test a variety of expressions representative of potential mechanisms for retardation within the backfill for the best-fit with experimental data. From the comparison, the aim is to select the appropriate mechanism from the host of potential mechanisms for retardation. The model employs a novel integral equation approach to the solution of the transport equation with nonlinear retardation terms. The solution technique used in this model is a semi-analytical, iterative method for the general nonlinear problem. It is felt the technique offers improved computational efficiency over comparable finite difference methods.

Comparisons between experimental migration diffusion cell data and the model predictions are presented in this paper. Tentative conclusions concerning the importance of the retardation mechanism to radionuclide transport in the backfill barrier will be drawn.

Type
Research Article
Copyright
Copyright © Materials Research Society 1984

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. Nowak, E. J., “The Diffusion of Cs(I) and Sr(II) in Liquid-Saturated Beds of Backfill Material,” Sand82-0750; Sandia National Laboratories, Albuquerque, New Mexico (1982).Google Scholar
2. Nowak, E. J., “Diffusion of Radionuclides in Brine-Saturated Backfill Barrier Materials,” The Scientific Basis for Nuclear Waste Management, Vol. 15, Brookins, D. G., Ed., pp. 735744, Elsevier, New York (1983).Google Scholar
3. Torstenfelt, B., et al. , “Diffusion Measurements in Compacted Bentonite,” The Scientific Basis for Nuclear Waste Management, Vol. 4, Topp, S. V., Ed., pp. 295302, Elsevier, New York (1982).Google Scholar
4. Muller, A. B., Langmuir, D., Duda, L. E., “The Formulation of an Integrated Physicochemical-Hydrologic Model for Predicting Waste Nuclide Retardation in Geologic Media,” The Scientific Basis for Nuclear Waste Management, Vol. 15, Brookins, D. G., Ed., pp. 547-564, Elsevier, New York (1983).Google Scholar
5. Stakgold, G., Green's Functions and Boundary Value Problems, John Wiley and Sons, New York (1978).Google Scholar
6. Pusch, R. T., Ericksen, T., and Jacobsson, A., “Ion/Water Migration Phenomena in Dense Bentonites,” Scientific Basis for Nuclear waste Management, Vol. 5, Werner Lutze, , Ed., Elsevier, New York (1982).Google Scholar
7. Miller, K. K., Nonlinear Volterra Integral Equations, W. A. Benjamin, Inc., Menlo Park (1971).Google Scholar
8. Anderson, H. M., Pietz, J., and Smith, D., “Solutions to Radionuclide Migration with Nonlinear Retardation Mechanisms in Backfill Material,” Sand82-7089, Sandia National Laboratories, Albuquerque, New Mexico (1982).Google Scholar