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Models of permeability and conductivity of porous media

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  • McCauley, J.L.

Abstract

Models of transport through porous rocks, both on the micro- and macro-scale, typically are equivalent to resistor networks. We investigate two of the simplest network models of permeability, one fractal with no disorder and the other disordered but nonfractal. Neither model includes the idea of pore-space connectivity, consequently, neither model can explain the combined experimental data on conductivity and permeability. We go on to show that both models follow from a more general model in two extreme limits. The new and more general fractal and disordered model includes connectivity in the simplest possible way and qualitatively explains the experimentally known nonuniversal scaling exponents for conductivity and permeability. We also show how to introduce multifractal transport models, including a disordered multifractal model of conductivity and permeability. Finally, the need for new experiments is suggested.

Suggested Citation

  • McCauley, J.L., 1992. "Models of permeability and conductivity of porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 18-54.
    • Handle: RePEc:eee:phsmap:v:187:y:1992:i:1:p:18-54
    DOI: 10.1016/0378-4371(92)90407-H
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