Anomalous interface roughening in porous media: Experiment and model

S. V. Buldyrev; A. L. Barabsi; F. Caserta; S. Havlin; H. E. Stanley; T. Vicsek

doi:10.1103/physreva.45.r8313

Anomalous interface roughening in porous media: Experiment and model

S. V. Buldyrev, A. L. Barabsi, F. Caserta, S. Havlin, H. E. Stanley, T. Vicsek

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Abstract

We report measurements of the interface formed when a wet front propagates in paper by imbibition and we find anomalous roughening with exponent =0.630.04. We also formulate an imbibition model that agrees with the experimental morphology. The main ingredient of the model is the propagation and pinning of a self-affine interface in the presence of quenched disorder, with erosion of overhangs. By relating our model to directed percolation, we find 0.63.

Original language	English
Pages (from-to)	R8313-R8316
Journal	Physical Review A
Volume	45
Issue number	12
DOIs	https://doi.org/10.1103/physreva.45.r8313
State	Published - 1992
Externally published	Yes

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abstract = "We report measurements of the interface formed when a wet front propagates in paper by imbibition and we find anomalous roughening with exponent =0.630.04. We also formulate an imbibition model that agrees with the experimental morphology. The main ingredient of the model is the propagation and pinning of a self-affine interface in the presence of quenched disorder, with erosion of overhangs. By relating our model to directed percolation, we find 0.63.",

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AU - Stanley, H. E.

AU - Vicsek, T.

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AB - We report measurements of the interface formed when a wet front propagates in paper by imbibition and we find anomalous roughening with exponent =0.630.04. We also formulate an imbibition model that agrees with the experimental morphology. The main ingredient of the model is the propagation and pinning of a self-affine interface in the presence of quenched disorder, with erosion of overhangs. By relating our model to directed percolation, we find 0.63.

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Anomalous interface roughening in porous media: Experiment and model

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