Fractal Properties of Correlated Invasion Percolation Patterns

RAÚL H. LÓPEZ; A. M. VIDALES; GIORGIO ZGRABLICH

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier

Año: 2003 vol. 237 p. 76 - 81

0378-4371

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 ow in eld 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 fndings is presented.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 fndings is presented.