Fluctuations in fluid invasion into disordered media

Abstract

Interfaces moving in a disordered medium exhibit stochastic velocity fluctuations obeying universal scaling relations related to the presence or absence of conservation laws. For fluid invasion of porous media, we show that the fluctuations of the velocity are governed by a geometry-dependent length scale arising from fluid conservation. This result is compared to the statistics resulting from a non-equilibrium (depinning) transition between a moving interface and a stationary, pinned one.

4 pages, 4 figures

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Cited by in corpus (15)

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• Barkhausen noise from precessional domain wall motion
• Molecular Dynamics simulation of evaporation processes of fluid bridges confined in slit-like pore
• Short-time domain-wall dynamics in the random-field Ising model with a driving field
• On the anomalous dynamics of capillary rise in porous media
• Forced Imbibition - a Tool for Determining Laplace Pressure, Drag Force and Slip Length in Capillary Filling Experiments
• Activity statistics, avalanche kinetics, and velocity correlations in surface growth
• Field theory of disordered systems -- Avalanches of an elastic interface in a random medium
• Large-scale Monte Carlo simulations for the depinning transition in Ising-type lattice models
• Influence of Disorder Strength on Phase Field Models of Interfacial Growth
• Effect of thresholding on avalanches and their clustering for interfaces with long-range elasticity
• Roughening of the Anharmonic Elastic Interface in Correlated Random Media
• Nonsteady dynamics at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model