Numerical studies of gravity destabilized percolation in 2D porous media |
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Authors: | Z Bo D Loggia L Xiaorong G Vasseur H Ping |
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Institution: | 1. Key Laboratory of Mineral Resource, Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, 100029, P.R. China 2. Laboratoire de tectonophysique (UMR5568), ISTEEM, CNRS & Université Montpellier II, 34095, Montpellier, France 3. SISYPHE, UMR, Bo?te 123, Université Paris 6, 75252, Paris Cedex 05, France
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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
(Wt). The fragmentation process is not taken into account in this study.
For an increase of g or/and when Wt 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/Wt and by the sample size (L). A scaling law between the
saturation at the percolation threshold and g/Wt
allows delineating the three regimes in agreement with
theoretical argument of the percolation in a gradient. |
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Keywords: | 47 55 Mh Flows through porous media 61 43 Hv Fractals macroscopic aggregates (including diffusion-limited aggregates) 47 55 Kf Particle-laden flows |
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