Journal
PHYSICAL REVIEW LETTERS
Volume 119, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.144501
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Funding
- Human Frontiers Science Program [RGP0053/2012]
- National Science Foundation [DMR-1310266]
- Harvard Materials Research Science and Engineering Center [DMR-0820484, DMR-1420570]
- Total E&P Recherche Developpement [A21116]
- Deutsche Akademie der Naturforscher Leopoldina
- Simons Foundation
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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 delta-function-like via Gaussians to exponential with increasing disorder. Comparison to experimental data further verifies our numerical approach.
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