Anomalous roughening of viscous fluid fronts in spontaneous imbition

Year: 2005
  • Soriano, J.
  • Mercier, A.
  • Planet, R.
  • Hernández-Machado, A.
  • Rodríguez, M. A.
  • Ortín, J.
Journal: Physical Review Letters Volume: 95
Pages: 104501-
ISSN: 0031-9007
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 suggests a dynamic exponent z ’ 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 (  0:64  0:02,   0:33  0:03) and space (  1:94  0:20, loc  0:94  0:10). These values are compatible with an intrinsic anomalous scaling scenario.
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