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Simulations of migration, fragmentation and coalescence of non-wetting fluids in porous media

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  • Meakin, Paul
  • Wagner, Geri
  • Feder, Jens
  • Jøssang, Torstein

Abstract

A model based on invasion percolation was used to simulate the migration on a non-wetting fluid through a porous medium filled with an immiscible wetting fluid under the influence of a gradient such as that provided by gravity. The migrating fluid clusters undergo both fragmentation and coalescence. The fragment size distribution obtained from two-dimensional simulations in which the gradient g is slowly increased from 0 can be represented by the scaling form Ns(g)∼s-2ƒ(s⧸|g|-z where z=1+(D−1)ν⧸(ν+1). Here D is the fractal dimensionality of invasion percolation, with trapping, and ν is the ordinary percolation correlation length exponent.

Suggested Citation

  • Meakin, Paul & Wagner, Geri & Feder, Jens & Jøssang, Torstein, 1993. "Simulations of migration, fragmentation and coalescence of non-wetting fluids in porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 200(1), pages 241-249.
    • Handle: RePEc:eee:phsmap:v:200:y:1993:i:1:p:241-249
    DOI: 10.1016/0378-4371(93)90522-6
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    1. Aharony, Joseph & Saunders, Anthony & Swary, Itzhak, 1988. "The effects of DIDMCA on bank stockholders' returns and risk," Journal of Banking & Finance, Elsevier, vol. 12(3), pages 317-331, September.
    2. Meakin, Paul & Birovljev, Aleksandar & Frette, Vidar & Feder, Jens & Jøssang, Torstein, 1992. "Gradient stabilized and destabilized invasion percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 227-239.
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