Permeability of porous materials determined from the euler characteristic

C. Scholz; F. Wirner; J. Götz; U. Rüde; G.E. Schröder-Turk; K. Mecke; C. Bechinger

doi:10.1103/PhysRevLett.109.264504

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Permeability of porous materials determined from the euler characteristic

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Permeability of porous materials determined from the euler characteristic

C. Scholz, F. Wirner, J. Götz, U. Rüde, G.E. Schröder-Turk, K. Mecke and C. Bechinger

Physical Review Letters, Vol.109(26)

2012

DOI: https://doi.org/10.1103/PhysRevLett.109.264504

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Abstract

We study the permeability of quasi-two-dimensional porous structures of randomly placed overlapping monodisperse circular and elliptical grains. Measurements in microfluidic devices and lattice Boltzmann simulations demonstrate that the permeability is determined by the Euler characteristic of the conducting phase. We obtain an expression for the permeability that is independent of the percolation threshold and shows agreement with experimental and simulated data over a wide range of porosities. Our approach suggests that the permeability explicitly depends on the overlapping probability of grains rather than their shape.

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Title: Permeability of porous materials determined from the euler characteristic
Authors/Creators: C. Scholz (Author/Creator) - University of Stuttgart
F. Wirner (Author/Creator) - University of Stuttgart
J. Götz (Author/Creator) - Friedrich-Alexander-Universität Erlangen-Nürnberg
U. Rüde (Author/Creator) - Friedrich-Alexander-Universität Erlangen-Nürnberg
G.E. Schröder-Turk (Author/Creator) - Friedrich-Alexander-Universität Erlangen-Nürnberg
K. Mecke (Author/Creator) - Friedrich-Alexander-Universität Erlangen-Nürnberg
C. Bechinger (Author/Creator) - University of Stuttgart
Publication Details: Physical Review Letters, Vol.109(26)
Publisher: American Physical Society
Identifiers: 991005541483907891
Copyright: © 2012 American Physical Society
Murdoch Affiliation: Murdoch University
Language: English
Resource Type: Journal article

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Collaboration types: Domestic collaboration
Citation topics: 8 Earth Sciences; 8.140 Water Resources; 8.140.718 Enhanced Oil Recovery
Web Of Science research areas: Physics, Multidisciplinary
ESI research areas: Physics