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Random Walks for Magnetic Decay in Porous Media

Published online by Cambridge University Press:  10 February 2011

Weicheng Cai ,
Thomas C. Halsey ,
John H. Hardenbergs  and
Michael Leibig
Weicheng Cai
Affiliation:
Exxon Research and Engineering Co., Annandale, NJ 08801
Thomas C. Halsey
Affiliation:
Exxon Research and Engineering Co., Annandale, NJ 08801
John H. Hardenbergs
Affiliation:
Exxon Research and Engineering Co., Annandale, NJ 08801
Michael Leibig
Affiliation:
Institute for Theoretical Physics, University of California, Santa Barbara, CA 93106
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Abstract

We propose a Monte Carlo method to simulate the magnetization decay for NMR in porous media. In this method, the diffusive spins in the fluid phase are modeled by 3-d random walkers, whose absorption at the solid surface simulates surface-mediated decay. Our method is 20 times faster than direct relaxation of the diffusion equation when a variable-step size implementation is used. We demonstrate our method by computing the surface relaxivity ρ for a Fontainebleau sandstone, whose structure was determined by X-ray tomography.

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Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 463: Symposia EE – Statistical Mechanics in Physics and Biology , 1996 , 251
Copyright
Copyright © Materials Research Society 1997

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References

1. For a recent review of applications in the petroleum industry, see Kleinberg, R., Industr. Phys. 2 (2), 18 (1996).Google Scholar
2. Abragam, A., Principles of Nuclear Magnetism, (Oxford U.P., New York, 1994) Chapter III.Google Scholar
3. Brownstein, K.R. and Tarr, C.E., Phys. Rev. A 19, 2446 (1979).Google Scholar
4. Torrey, H.C., Phys. Rev. 104, 563 (1956);Google Scholar
Cohen, M.H. & Mendelson, K.S., J. Appl. Phys. 53, 1127(1982).Google Scholar
5. Hürlimann, M.D., Helmer, K.G., Latour, L.L., and Sotak, C.H., J. Mag. Res. A 111, 169 (1994).Google Scholar
6. Leibig, M., J. Phys. A: Math. Gen. 26, 3349 (1993).Google Scholar
7. Meakin, P., J. Phys. A 18, L661 (1985).Google Scholar
8. Flannery, B.P., Deckman, H.W., Roberge, W.G., and D'Amico, K.L., Science 237, 1439 (1987).Google Scholar
9. The X-ray tomography data for the sample was provided by J. Dunsmuir at Exxon Research and Engineering Co.Google Scholar
10. “NMR Short Course,” SPWLA 36th Annual Symposium (in Paris) 1995.Google Scholar