Fractal properties of correlated invasion percolation patterns

Raúl H López, A.m Vidales and G Zgrablich

Physica A: Statistical Mechanics and its Applications, 2003, vol. 327, issue 1, 76-81

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.

Keywords: Percolation phenomena; Clusters; Fractal dimension (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:327:y:2003:i:1:p:76-81

DOI: 10.1016/S0378-4371(03)00454-0

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