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Effective permeability of multifractal porous media

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  • Saucier, Antoine

Abstract

We show how the real space renormalization group method can be used to calculate analytically the scaling exponents of the effective absolute permeability in multifractal porous media. The permeability fields considered are deterministic and random multifractals constructed with multiplicative processes. We discuss the implications of the results on the understanding of fluid flow in oil reservoirs.

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  • Saucier, Antoine, 1992. "Effective permeability of multifractal porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(4), pages 381-397.
    • Handle: RePEc:eee:phsmap:v:183:y:1992:i:4:p:381-397
    DOI: 10.1016/0378-4371(92)90290-7
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    1. Aharony, Amnon & Hinrichsen, Einar L. & Hansen, Alex & Feder, Jens & J∅ssang, Torstein & Hardy, H.H., 1991. "Effective renormalization group algorithm for transport in oil reservoirs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 260-266.
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    Cited by:

    1. Saucier, Antoine, 1996. "Scaling properties of disordered multifractals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(1), pages 34-63.

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