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A Mathematical Model for Advective Release from Perforated Waste Package Container Under Dripping Water

Published online by Cambridge University Press:  03 September 2012

Joon H. Lee
Joon H. Lee*
Affiliation:
INTERA Inc., CRWMS M&O, 1180 Town Center Drive, Las Vegas, NV 89134, USA
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Abstract

A defense-in-depth engineered barrier system (EBS) is employed in the current design concept for the potential high-level nuclear waste repository at Yucca Mountain, Nevada, USA. Simplifying the geometry of the cylindrical waste container into the equivalent spherical configuration, and incorporating detailed analysis of the mechanics of water flow around the waste container surface, a mathematical model is developed for advective release from a “failed” (or perforated) waste container under dripping water. It is shown that the advective release rates are controlled by diffusion through the perforations in the waste container, and affected insignificantly by the dripping flow rate for the flow rate range considered. The release rates depend strongly on the number of perforations (or pit penetrations) in the waste container. The insensitivity of the release rate to the dripping flow rate is explained by the fact that radionuclide is released from the container surface to the boundary layer of the water film which contacts the container surface and is relatively stagnant. Also, since a laminar flow around the waste container surface is assumed in the model development, radionuclides transport across the water layers in the film by diffusion only. Additionally, the insignificant effect of the flow rate is contributed by the “short” penetration depth of radionuclide into the water film assumed in the model development. The analyses show that the number of perforations, the size of perforation, the container wall thickness, and the geometry (i.e., radius) of the waste container are important parameters that control the advective release rate. It is emphasized that the “failed” (or perforated) waste package container can still perform as a potentially important barrier to radionuclide release.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 465: Symposium II – Scienfific Basis for Nuclear Waste Management XX , 1996 , 1067
Copyright
Copyright © Materials Research Society 1997

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References

REFERENCES

1. CRWMS M&O, Total System Performance Assessment-1995: An Evaluation of the Potential Yucca Mountain Repository,” B00000000–01717–00136, Rev. 01, Las Vegas, NV, 1995.Google Scholar
2. Lee, J.H., Atkins, J.E., and Andrews, R.W., Scientific Basis for Nuclear Waste Management XIX. Mat. Res. Soc. Proc. 412, Murphy, W.M. and Knecht, D.A. (eds.), p. 603 (1996).Google Scholar
3. Lee, J.H., Chambré, P.L., and Andrews, R.W., Proc. 1996 Int'l Conf. Deep Geological Disposal of Radioactive Waste, p. 5:61 (1996).Google Scholar
4. Lee, J.H., Atkins, J.E., McNeish, J.A., and Valiikat, V., Proc. 1996 Int'l Conf. Deep Geological Disposal of Radioactive Waste, p. 8:65 (1996).Google Scholar
5. Golder Associates, RIP Performance Assessment and Strategy Evaluation Model: Theory Manual and User's Guide. Version 3.20, Golder Associates, Redmont, WA, 1994.Google Scholar
6. Vernon, W.H., Trans. Electro. Soc, 64, p. 31 (1933).Google Scholar
7. Raman, A., and Nasrazadani, S., Corrosion, 46, p. 601 (1990).Google Scholar
8. Fyfe, D., Corrosion, 3rd ed., Shreir, L.L., et al. (eds.), Vol. 1, Butterworth-Heinemann, p. 2:31 (1994).Google Scholar
9. Conca, J.L., and Wright, J., Appl. Hydro., 1, p. 5 (1992).Google Scholar
10. Henshall, G.A., Modeling Pitting Degradation of Corrosion Resistant Alloys, UCRL-ID-125300, Lawrence Livermore National Laboratory, Livermore, CA, 1996.Google Scholar
11. Davidson, J.F., and Cullen, E.J., Trans. Inst. Chem. Engrs., 35, p. 51 (1957).Google Scholar
12. Bird, R.B., Stewart, W.E., and Lightfoot, E.N., Transport Phenomena, John Wiley & Sons, 1960.Google Scholar
13. Beyer, W.H., CRC Standard Mathematical Tables, 28th Ed., CRC Press, 1987.Google Scholar
14. Lee, J.H., Atkins, J.E., and Dunlap, B., this volume.Google Scholar