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Fractal properties of correlated invasion percolation patterns

Author

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  • López, Raúl H
  • Vidales, A.M
  • Zgrablich, G

Abstract

We present results on Monte Carlo simulations for invasion percolation with trapping considering the presence of spatial size correlations, a problem which is relevant to multiphase flow in field scale of porous media. The correlations are generated through the dual site bond model, characterized by a spatial correlation length r0, which depends on the overlap between site and bond distributions. Our results indicate that in two-dimensional lattices the fractal dimension of the sample-spanning cluster, is non-universal and vary with the correlation. Comparison with other authors recent findings is presented.

Suggested Citation

  • López, Raúl H & Vidales, A.M & Zgrablich, G, 2003. "Fractal properties of correlated invasion percolation patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(1), pages 76-81.
    • Handle: RePEc:eee:phsmap:v:327:y:2003:i:1:p:76-81
    DOI: 10.1016/S0378-4371(03)00454-0
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