Hostname: page-component-5c6d5d7d68-qks25 Total loading time: 0 Render date: 2024-09-01T08:22:03.211Z Has data issue: false hasContentIssue false

First-Passage-Time Modeling of Transport in Fractured Rock

Published online by Cambridge University Press:  15 February 2011

M. W. Becker*
Affiliation:
MSD443, Los Alamos National Laboratories, Los Alamos, NM, 87545, mwbecker@lanl.gov
Get access

Abstract

This paper presents theory intended for the design and interpretation of tracer tests in fractured rock. The objective is to provide an understanding of experiments in which particulate and solute tracers are injected simultaneously. In such experiments, it is expected that the solute tracer will diffuse into the rock matrix, while the particulates will be confined to the fractures. The theory allows information about matrix diffusion to be extracted from the breakthrough curve. Furthermore, it can accommodate tests in which a non-ideal source is used, and where some of the withdrawn fluid is re-injected. The solution is performed in Laplace space and transformed to the time domain using a commercial spreadsheet.

Type
Research Article
Copyright
Copyright © Materials Research Society 1996

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

1. Bear, J., in Flow and Contaminant Transport in Fracture Rock, edited by Bear, J., Tsang, C-F, and Marsily, G. de (Academic Press, San Diego, 1993) pp. 135.Google Scholar
2. Levenspiel, O., Chemical Reaction Engineering, 2nd ed. (Wiley, New York, 1972).Google Scholar
3. Robinson, B. A. and Tester, J. W., J. Geophys. Res. 89 (B12), 1037410384 (1984).Google Scholar
4. Kreft, A. and Zuber, A., Chem Eng. Sci. 33, 1471 (1978).Google Scholar
5. Tang, D. H., Frind, E. O., and Sudicky, E. A., Water Resour. Res., 17 (3), 555564 (1981).Google Scholar
6. Maloszewski, P. and Zuber, A., in Interpretation of Artificial and Environmental Tracers in Fissured Rocks with a Porous Matrix, (International Atomic Energy Agency (IAEA), Vienna, 1983) pp. 635651.Google Scholar
7. Cox, D.R. and Miller, H.D., The Theory of Stochastic Processes (Chapman and Hall, New York, 1972).Google Scholar
8. Lindhardt, S., Mathcad• spreadsheet available under the program name invsfft.mcd at the World Wide Web address: http://www.mathsoft.com/appsindex.html.Google Scholar
9. Neretnieks, I., Eriksen, T., and Tahtinen, P., Water Resour. Res., 18 (4), 849858 (1982).Google Scholar
10. Maloszewski, P. and Zuber, A., Water Resour. Res., 26 (7), 15171528 (1990).Google Scholar
11. Rainwater, K.A., Wise, W.R., and Charbeneau, R.J., Water Resour. Res., 23 (10), 19011910 (1987).Google Scholar