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

Paul Meakin, Geri Wagner, Jens Feder and Torstein Jøssang

Physica A: Statistical Mechanics and its Applications, 1993, vol. 200, issue 1, 241-249

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.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:200:y:1993:i:1:p:241-249

DOI: 10.1016/0378-4371(93)90522-6

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