Avalanche dynamics in fluid imbibition near the depinning transition

preprint2010arXivOpen access

Abstract

We study avalanche dynamics and local activity of forced-flow imbibition fronts in disordered media. We focus on the front dynamics as the mean velocity vˉ\bar{v} of the interface is decreased and the pinning state is approached. Scaling arguments allow us to obtain the statistics of avalanche sizes and durations, which become power-law distributed due to the existence of a critical point at vˉ=0\bar{v}= 0. Results are compared with phase-field numerical simulations.

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