The Permeability of Boolean Sets of Cylinders

Abstract : Numerical and analytical results on the permeability of Boolean models of randomly-oriented cylinders with circular cross-section are reported. The present work investigates cylinders of prolate (highly-elongated) and oblate (nearly flat) types. The fluid flows either inside or outside of the cylinders. The Stokes flow is solved using full-fields Fourier-based computations on 3D binarized microstructures. The permeability is given for varying volume fractions of pores. A new upper-bound is derived for the permeability of the Boolean model of oblate cylinders. The behavior of the permeability in the dilute limit is discussed.
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Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, Institut Français du Pétrole, 2016, 71 (4), <10.2516/ogst/2016003>
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Contributeur : François Willot <>
Soumis le : mercredi 15 mars 2017 - 13:04:14
Dernière modification le : samedi 18 mars 2017 - 01:11:28

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François Willot, Bassam Abdallah, Dominique Jeulin. The Permeability of Boolean Sets of Cylinders. Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, Institut Français du Pétrole, 2016, 71 (4), <10.2516/ogst/2016003>. <hal-01490444>

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