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Three-Dimensional Code for Groundwater Flow and advection Diffusion With a Decay Chain of Radioactive Materials Using Finite Element Method

Published online by Cambridge University Press:  28 February 2011

Ryuji Kawamura  and
Takehiko Ishihara
Ryuji Kawamura
Affiliation:
Japan Information Service, Ltd., 5–12,Kita-Aoyama 3-chome, Minato-ku, Tokyo 107, Japan
Takehiko Ishihara
Affiliation:
Radioactive Waste Management Center, 8–10, Toranomon 2-chome, Minato-ku, Tokyo 105, Japan
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Abstract

A code(PER8MIGR) for the finite element method (F.E.M.) using 8-node point isoparametric elements has been developed for solving three-dimensional groundwater flow and advection diffusion equations with a decay chain of radioactive materials. Galerkin's method is applied to discretize the equations, and asymmetric band matrix method is used to solve the equation. Some simple problems for groundwater flow and migration of nuclides were solved by the code to compare the results for groundwater flow with the one- and three-dimensional analytical solutions. The results for migration of nuclides were also compared with the results obtained by some existing available codes. Our results and those by the other codes were in good agreement. The present work makes it possible to solve the groundwater flow and diffusion problems more accurately for radioactive waste disposal in complex geometry.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 112: Symposium P – Scientific Basis for Nuclear Waste Management XI , 1987 , 351
Copyright
Copyright © Materials Research Society 1988

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References

1. Yeh, G.T., ORNL report-5602 (1981).Google Scholar
2. Kimura, H. and Muraoka, S., J.Nucl.Sci.Tech., 20, 503 (1983).CrossRefGoogle Scholar
3. Reeves, M. and Cranwell, R.M., SNL report 81–2516 (1981).Google Scholar
4. Pigford, T.H., Chambre, P.L., Albert, M., Foglia, M., Harada, M., Iwamoto, F., Kanki, T., Leung, D., Masuda, S., Muraoka, S., and Ting, D., LBL-11616 (1980).Google Scholar
5 Goblet, P., Guetat, P., Lewi, J., Mangin, J-P, de Marsily, G. and Rainbault, P., in Scientific Basis for Nuclear Waste Management,IX, (1985) p.817 Google Scholar
6. Baker, J. and Hodgkinson, D., AERE-R,11574 (1985).Google Scholar
7. Larsson, A., Anderson, K., Grundfelt, B. and Haderman, J., IAEA-CN-43/434 (1983).Google Scholar
8. Conner, J.J. and Brebbia, C.A., Finite Element Techniques for Fluid Flow, (Butterworth & Co. Ltd., 1976).Google Scholar
9. Zienkiewicz, O.C., The Finite Element Methods in Engineering Science, (McGraw-Hill, 1971).Google Scholar
10. Rae, J. and Robinson, P.C., NAMMU-R,9610 (1979).Google Scholar