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]

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

  1. ↑ David Wilkinson and Jorge F Willemsen, "Invasion percolation: a new form of percolation theory", J. Phys. A: Math. Gen. 16 (1983) 3365–3376.
  2. ↑ Grassberger, P.; Manna, S. S. (1990), "Some more sandpiles", Journal de Physique, 51 (11): 1077–1098, doi:10.1051/jphys:0199000510110107700
  3. ↑ D. Sornette, A. Johansen, I. Dornic, J. Phys. I (France) 5, 325 (1995)


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