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Investigation of the Influence of Heterogeneous Porosity on Matrix Diffusion: a Novel Approach Using Adaptive Tree-Multigrid Technique and Real Porosity Data

Published online by Cambridge University Press:  03 September 2012

P. Simbierowicz  and
M. Olin
P. Simbierowicz
Affiliation:
VTT Chemical Technology, P.O. Box 1404 (Otakaari 3A, ESPOO), FIN-02044 VTT, Finland
M. Olin
Affiliation:
VTT Chemical Technology, P.O. Box 1404 (Otakaari 3A, ESPOO), FIN-02044 VTT, Finland
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Abstract

Last year we developed a two-dimensional deterministic heterogeneous matrix diffusion model, which is capable of utilising porosity information originating from real drill-core samples. The results of numerical infiltration experiment we had performed with the model displayed substantial spatial variations in the penetration depth. Because it is practically impossible to verify experimentally those two-dimensional penetration profiles we had computed, this time we decided to try modelling of measured leaching curves. Unfortunately we have not succeeded in acquiring such curves for the exact same samples, which we have used in numerical leaching experiments. Nevertheless it can be seen, that the shape of leaching curves computed with the heterogeneous model is clearly closer to the shape of measured curves, than the shape of curves provided by the standard model. These differences can be utilised as a basis for an approximate numerical method of assessing the geometric factor, which has traditionally been a purely empirical parameter.

The results of the new numerical experiments agree with our older results from last year: the heterogeneity of the rock matrix has highly significant impact on the diffusion. However, when interpreting the results, one must not neglect numerous limitations of the model, and hence, one should not attempt to overgeneralise the conclusions.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 465: Symposium II – Scienfific Basis for Nuclear Waste Management XX , 1996 , 847
Copyright
Copyright © Materials Research Society 1997

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References

REFERENCES

1. Neretnieks, I., J. Geosphys. Res. 85 (B8), 4379–4397, (1980).Google Scholar
2. Olin, M., PhD thesis, VTT Publications 175, (1994).Google Scholar
3. Hemingway, S.J., Bradbury, M.H. & Lever, D.A., Report AERE-R 10691, (1983).Google Scholar
4. Lehikoinen, J., Muurinen, A., Olin, M., Uusheimo, K. & Valkiainen, M., VTT Research Notes 1394, (1992). 28 pp.Google Scholar
5. Hellmuth, K-H. & Siitari-Kauppi, M., Report STUK-B-VALO 63, (1990).Google Scholar
6. Gáspár, C., Józsa, J., Simbierowicz, P., in First International Conference on Water Pollution, edited by Wróbel, L.C. & Brebbia, C.A., (Elsevier, 1991). p. 299.Google Scholar
7. Gáspár, C. & Simbierowicz, P., in HYDROCOMP '92 Conference edited by Gayer, J., Starosolszky, O. & Maksimovic, C. (1992). p. 131.Google Scholar
8. Gáspár, C. & Simbierowicz, P., in IX. International Conference on Computational Methods in Water Resources, edited by Russell, T.F., Ewing, R.E., Brebbia, C. A., Gray, W.G. & Pinder, G.F. (Elsevier, 1992). p. 555.Google Scholar
9. Hackbusch, W., Multi-Grid Methods and Applications. (Springer-Verlag, Heidelberg 1985). 377 pp.Google Scholar
10. Simbierowicz, P. & Olin, M., Porosity and pore-structure as relevant parameters of matrix diffusion. VTT internal report (Espoo, 1995). 8 pp.Google Scholar