Invasion percolation

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Invasion percolation is a mathematical model of realistic fluid distributions for slow immiscible fluid invasion in porous media, in percolation theory. It "explicitly takes into account the transport process taking place". A wetting fluid such as water takes over from a non-wetting fluid such as oil, and capillary forces are taken into account. It was introduced by Wilkinson and Willemsen (1983).[1]

References

  1. David Wilkinson and Jorge F Willemsen, "Invasion percolation: a new form of percolation theory", J. Phys. A: Math. Gen. 16 (1983) 3365–3376.