Fluid flow through porous media: The role of stagnant zones

J. S. Andrade, M. P. Almeida, J. Mendes Filho, S. Havlin, B. Suki, H. E. Stanley

Research output: Contribution to journalArticlepeer-review

103 Scopus citations

Abstract

We investigate fluid flow through disordered porous media by direct simulation of the Navier-Stokes equations in a two-dimensional percolation structure. We find, in contrast to the log-normal distribution for the local currents found in the analog random resistor network, that over roughly 5 orders of magnitude the distribution n\(E\) of local kinetic energy E follows a power law, with n\(E\)∼E, where α = 0.90+/-0.03 for the entire cluster, while α = 0.64+/-0.05 for fluid flow in the backbone only. Thus the “stagnant” zones play a significant role in transport through porous media, in contrast to the dangling ends for the analogous electrical problem.

Original languageEnglish
Pages (from-to)3901-3904
Number of pages4
JournalPhysical Review Letters
Volume79
Issue number20
DOIs
StatePublished - 1997

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