Local Pore Size Correlations Determine Flow Distributions in Porous Media

The relationship between the microstructure of a porous medium and the observed flow distribution is still a puzzle. We resolve it with an analytical model, where the local correlations between adjacent pores, which determine the distribution of flows propagated from one pore downstream, predict the...

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Bibliographic Details
Published in:Physical review letters Vol. 119; no. 14; p. 144501
Main Authors: Alim, Karen, Parsa, Shima, Weitz, David A, Brenner, Michael P
Format: Journal Article
Language:English
Published: United States 03-10-2017
Online Access:Get full text
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Summary:The relationship between the microstructure of a porous medium and the observed flow distribution is still a puzzle. We resolve it with an analytical model, where the local correlations between adjacent pores, which determine the distribution of flows propagated from one pore downstream, predict the flow distribution. Numerical simulations of a two-dimensional porous medium verify the model and clearly show the transition of flow distributions from δ-function-like via Gaussians to exponential with increasing disorder. Comparison to experimental data further verifies our numerical approach.
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ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.119.144501