Numerical studies of gravity destabilized percolation in 2D porous media

Z. Bo, D. Loggia (), L. Xiaorong, G. Vasseur and H. Ping

The European Physical Journal B: Condensed Matter and Complex Systems, 2006, vol. 50, issue 4, 631-637

Abstract: Two dimensional simulations of percolation are realized on square networks of pore throats with a random capillary pressure distribution. We analyse the influence of a destabilizing gravity field (g) and of the standard deviation of the distribution of the capillary pressure thresholds (W t ). The fragmentation process is not taken into account in this study. For an increase of g or/and when W t decreases, two transitions are analyzed with three different regimes displacement patterns: Invasion percolation, invasion percolation in a gradient, and invasion in a pure gradient. The transitions are controlled both by the ratio g/W t and by the sample size (L). A scaling law between the saturation at the percolation threshold and g/W t allows delineating the three regimes in agreement with theoretical argument of the percolation in a gradient. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Keywords: 47.55.Mh Flows through porous media, 61.43.Hv Fractals; macroscopic aggregates (including diffusion-limited aggregates) , 47.55.Kf Particle-laden flows, (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1140/epjb/e2006-00168-y

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