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We develop a complete analysis of the avalanches observed in the imbibition process of a viscous fluid getting into a porous media. By means of a mesoscopic phase field model, we study the so-called forced-flow imbibition where the liquid advances with a constant velocity. We observe that at low velocities, the system is highly correlated and the distributions of the different magnitudes describing the avalanches, such as size and duration time, follow power laws with exponents related each other. In contrast, at higher velocities, the interface correlations are affected by a cutoff length scale, which is much smaller than the system size, and therefore avalanches distributions are described by an exponential cutoff function. |
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