FLUID FLOW IN A DIRECTED POROUS MEDIA
Abstract
We present a modified site invasion percolation with a biased growth rule to model a fluid flow in porous media with a privileged direction. The effects of the modifications are systematically analyzed in computer simulations and a number of characteristics parameters such as acceptance profiles and linear mass density are obtained. The asymptotic behavior and scaling relations are also discussed and the associated exponents are numerically estimated.
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