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Anomalous Roughening of Viscous Fluid Fronts in Spontaneous Imbibition

J. Soriano·A. Mercier·R. Planet·A. Hernandez-Machado·M. A. Rodriguez·J. Ortin
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Abstract

We report experiments on spontaneous imbibition of a viscous fluid by a model porous medium in the absence of gravity. The average position of the interface satisfies Washburn's law. Scaling of the interface fluctuations provides a dynamic exponent z \simeq 3, indicative of global dynamics driven by capillary forces. The complete set of exponents clearly shows that interfaces are not self-affine, exhibiting distinct local and global scaling, both for time (b=0.64\pm 0.02, b* =0.33 \pm 0.03) and space (a=1.94 \pm 0.20, a_loc=0.94 \pm 0.10). These values are compatible with an intrinsic anomalous scaling scenario.

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J. Soriano, A. Mercier, R. Planet, A. Hernandez-Machado, M. A. Rodriguez, J. Ortin. 2005-05-18. Anomalous Roughening of Viscous Fluid Fronts in Spontaneous Imbibition. https://doi.org/10.1103/physrevlett.95.104501

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