Critical behavior in porous media flow
Résumé
The intermittent burst dynamics during the slow drainage of a porous medium is
studied experimentally. We have shown that this system satisfies a set of conditions known to be
true for critical systems, such as intermittent activity with bursts extending over several time and
length scales, self-similar macroscopic fractal structure and 1=f power spectrum. Additionally, we
have verified a theoretically predicted scaling for the burst size distribution, previously assessed via
numerical simulations. The observation of 1=f power spectra is new for porous media
flows and, for specific boundary conditions, we notice the occurrence of a transition from 1=f to 1=f^2 scaling.
An analytically integrable mathematical framework was employed to explain this behavior.
Origine : Fichiers produits par l'(les) auteur(s)
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