Anomalous interface roughening in porous media: Experiment and model

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

Research output: Contribution to journalArticlepeer-review

326 Scopus citations


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 languageEnglish
Pages (from-to)R8313-R8316
JournalPhysical Review A
Issue number12
StatePublished - 1992
Externally publishedYes


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