Invasion percolation is a mathematical model of realistic
fluid distributions for slow immiscible fluid invasion in porous media, in
percolation theory
In statistical physics and mathematics, percolation theory describes the behavior of a network when nodes or links are added. This is a geometric type of phase transition, since at a critical fraction of addition the network of small, disconnecte ...
.
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).
[David Wilkinson and Jorge F Willemsen,]
Invasion percolation: a new form of percolation theory
, ''J. Phys. A: Math. Gen.'' 16 (1983) 3365–3376.
References
Percolation theory
Fluid dynamics
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