Anomalous Roughening of Viscous Fluid Fronts in Spontaneous Imbibition

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 driv...

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Bibliographic Details
Published in:arXiv.org 2005-05
Main Authors: Soriano, J, Mercier, A, Planet, R, Hernandez-Machado, A, Rodriguez, M A, Ortin, J
Format: Article
Language:English
Subjects:
Imbibition
Porous media
Roughening
Scaling
Variations
Viscosity
Viscous fluids
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0412688