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A Simple Model for Anomalous Relaxation in Porous Media

Published online by Cambridge University Press:  10 February 2011

Mariela Araujo  and
Orlando Gonzalez
Mariela Araujo
Affiliation:
INTEVEP S.A, Apartado 76343. Caracas 1070-A Venezuela.
Orlando Gonzalez
Affiliation:
Departamento de Física, Universidad Central de Venezuela. Caracas, Venezuela.
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Abstract

We present a simple model to explain anomalous relaxation in random porous media. The model, based on the properties of random walks on a disordered structure, is able to describe essential features of the relaxation process in terms of a one body picture, in which the many body effects are approximated by geometrical restrictions on the particles diffusion. Disorder is considered as a random variable (quenched and annealed) taken from a power-law distribution |μ|ξμ−1. Quantities relevant to relaxation phenomena, such as the characteristic function and the particle density are calculated. Different regimes are observed as a function of the disorder parameter μ. For μ > 1 the relaxation is of exponential or Debye type, and turns into a stretched exponential as μ decreases. We compare numerical predictions (based on Monte Carlo simulations) with experimental data from porous rocks obtained by Nuclear Magnetic Resonance, and numerical data from other disordered systems.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 407: Symposium M – Disordered Materials and Interfaces-Fractals, structure and Dynamics , 1995 , 63
Copyright
Copyright © Materials Research Society 1996

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References

REFERENCES

1. Binder, K. and Young, A. P., Rev. Mod. Phys. 58, 801 (1986); K. H. Fisher and J. A. Hertz, Spin Glasses (Cambridge Univ. Press, Cambridge, 1991); R. Kohlraush, Ann. Phys. (Leipzig) 12, 393 (1847); K. S. Cole and R. H. Cole, J. Chem Phys. 9, 639 (1941).Google Scholar
2. Fujiwara, S and Yonezawa, F., Phys. Rev. E 51, 2277 (1995); Phys. Rev. Lett. 74, 4229 (1995).Google Scholar
3. Gomi, S. and Yonezawa, F., Phys. Rev. Lett. 74, 4125 (1995).Google Scholar
4. Havlin, S. and Ben-Avraham, D., Adv. Phys. 36, 695 (1987).Google Scholar
5. NMR measurements were done at the Center of Magnetic Resonance of Universidad Central de Venezuela.Google Scholar