Invasion percolation
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]
Invasion percolation proceeds in avalanches or bursts, and thus exhibits a form of intermittency. This avalanche behavior has been likened to self-organized criticality.[2][3]
References
[edit | edit source]- ^ David Wilkinson and Jorge F Willemsen, "Invasion percolation: a new form of percolation theory", J. Phys. A: Math. Gen. 16 (1983) 3365–3376.
- ^ Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).
- ^ D. Sornette, A. Johansen, I. Dornic, J. Phys. I (France) 5, 325 (1995)
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