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Exact and approximate calculations for the conductivity of sandstones

Author

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  • Widjajakusuma, J
  • Manwart, C
  • Biswal, B
  • Hilfer, R

Abstract

We analyze a three-dimensional pore space reconstruction of Fontainebleau sandstone and calculate from it the effective conductivity using local porosity theory. We compare this result with an exact calculation of the effective conductivity that solves directly the disordered Laplace equation. The prediction of local porosity theory is in good quantitative agreement with the exact result.

Suggested Citation

  • Widjajakusuma, J & Manwart, C & Biswal, B & Hilfer, R, 1999. "Exact and approximate calculations for the conductivity of sandstones," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 325-331.
    • Handle: RePEc:eee:phsmap:v:270:y:1999:i:1:p:325-331
    DOI: 10.1016/S0378-4371(99)00141-7
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    References listed on IDEAS

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    1. Biswal, B. & Manwart, C. & Hilfer, R., 1998. "Three-dimensional local porosity analysis of porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 255(3), pages 221-241.
    2. Hilfer, R., 1993. "Local porosity theory for electrical and hydrodynamical transport through porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 194(1), pages 406-414.
    3. Boger, F. & Feder, J. & Jøssang, T. & Hilfer, R., 1992. "Microstructural sensitivity of local porosity distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 55-70.
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