Abstract
The percolation clusters with varying occupy probability areconstructed. Invasion percolation (IP) in percolation cluster isinvestigated by means of IP algorithm without trapping. The patternconstructions of IP in percolation clusters are obviously differentfrom that of viscous fingering (VF) in percolation clusters. Thefractal dimension Df of IP increases with increasing the percolation probability P. The geometry and the topology of theporous media have strong effects on the pattern structure of IP. Forlarge M (the node numbers occupied by the injected fluid), the rescaledvalue is Rg/M1/Df, which asymptoticallyapproaches a constant value, and Rg is the gyrationradius of IP cluster. Moreover, the chemical dimensionDl and the shortest path exponent dmin are obtained.
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