Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-25T18:37:48.334Z Has data issue: false hasContentIssue false

Fluid Flow and Solute Transport though a Fracture Intersecting a Canister - Analytical Solutions for the Parallel Plate Model

Published online by Cambridge University Press:  01 February 2011

L. Liu
Affiliation:
Department of Chemical Engineering and Technology, Royal Institute of Technology, S-100 44 Stockholm, Sweden
I. Neretnieks
Affiliation:
Department of Chemical Engineering and Technology, Royal Institute of Technology, S-100 44 Stockholm, Sweden
Get access

Abstract

In this paper, we are concerned with a specific scenario where a large fracture intersects, at its center, a canister that contains spent nuclear fuel. Assuming that a nuclide is free to release from the canister into groundwater flowing through the fracture, a detailed formulation of the volumetric flow rate and the equivalent flow rate are made for the parallel plate model. The formulas proposed have been validated by numerical examinations; they are not only simple in forms but also universal in applications where the flow may be taken normal, inclined or parallel to the axis of the canister. Of great importance, they provide a convenient way to predict the average properties of fluid flow and solute transport through a single fracture with spatially variable apertures.

Type
Research Article
Copyright
Copyright © Materials Research Society 2004

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. Sahimi, M., Flow and Transport in Porous Media and Fractured Rock, Weinheim, Germany (1995).Google Scholar
2. Moreno, L., Tsang, Y. W.; Tsang, C. F.; Hale, F. V. and Neretnieks, I., Water Resour. Res., 24(12), 20332048 (1988).Google Scholar
3. Brown, S. R., J. Geophys. Res., 92, 13371347 (1987).Google Scholar
4. Neretnieks, I., Proc. Symp. Underground disposal of radioactive wastes, Vol. II, p. 108, International Atomic Energy Agency (1979).Google Scholar
5. SKB TR 96–05, Swedish Nuclear Fuel and Waste Management Company (1995).Google Scholar
6. Walsh, J.B., Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 18, 429435 (1981).Google Scholar
7. Hakami, E. and Larsson, E., Int. J. Rock Mech. Min. Sci. & Geomech. Abstr., 33 (4), 395404 (1996).Google Scholar
8. Chambré, P.L., Pigford, T.H., Sato, Y., Fujita, A., Lung, H., Zavoshy, S.J. and Kobayashi, R., Report LBL-14842, Lawrence Berkeley Laboratory, 1982.Google Scholar
9. Milne-Thomson, L. M., Theoretical Hydrodynamics, London, MacMillan (1961).Google Scholar
10. Liu, L. and Neretnieks, I., Report KAT-02–08, Royal Institute of Technology (2002).Google Scholar