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The N-steps Invasion Percolation Model

Reginaldo A. Zara·Roberto N. Onody
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Abstract

A new kind of invasion percolation is introduced in order to take into account the inertia of the invader fluid. The inertia strength is controlled by the number N of pores (or steps) invaded after the perimeter rupture. The new model belongs to a different class of universality with the fractal dimensions of the percolating clusters depending on N. A blocking phenomenon takes place in two dimensions. It imposes an upper bound value on N. For pore sizes larger than the critical threshold, the acceptance profile exhibits a permanent tail.

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BibTeXRIS

Reginaldo A. Zara, Roberto N. Onody. 1999-10-26. The N-steps Invasion Percolation Model. https://doi.org/10.1016/s0378-4371(99)00477-x

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