Permeability of porous materials determined from the Euler characteristic

Scholz, Christian; Wirner, Frank; Götz, Jan; Rüde, Ulrich; Schröder-Turk, Gerd E.; Mecke, Klaus; Bechinger, Clemens

Permeability of porous materials determined from the Euler characteristic

Files

Scholz_0-411291.pdf(469.01 KB)

Date

2012

Authors

Scholz, Christian

Wirner, Frank

Götz, Jan

Rüde, Ulrich

Schröder-Turk, Gerd E.

Mecke, Klaus

Bechinger, Clemens

Publication type

Journal article

Publication status

Published

Published in

Physical Review Letters ; 109 (2012), 26. - 264504. - ISSN 0031-9007. - eISSN 1079-7114

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.

Subject (DDC)

530 Physics

Cite This

ISO 690

SCHOLZ, Christian, Frank WIRNER, Jan GÖTZ, Ulrich RÜDE, Gerd E. SCHRÖDER-TURK, Klaus MECKE, Clemens BECHINGER, 2012. Permeability of porous materials determined from the Euler characteristic. In: Physical Review Letters. 109(26), 264504. ISSN 0031-9007. eISSN 1079-7114. Available under: doi: 10.1103/PhysRevLett.109.264504

BibTex

@article{Scholz2012-11-29T11:28:37ZPerme-39287,
  year={2012},
  doi={10.1103/PhysRevLett.109.264504},
  title={Permeability of porous materials determined from the Euler characteristic},
  number={26},
  volume={109},
  issn={0031-9007},
  journal={Physical Review Letters},
  author={Scholz, Christian and Wirner, Frank and Götz, Jan and Rüde, Ulrich and Schröder-Turk, Gerd E. and Mecke, Klaus and Bechinger, Clemens},
  note={Article Number: 264504}
}

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