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Journal articles

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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https://hal.archives-ouvertes.fr/hal-01490444
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Submitted on : Wednesday, March 15, 2017 - 1:04:14 PM
Last modification on : Monday, March 28, 2022 - 11:26:04 AM
Long-term archiving on: : Friday, June 16, 2017 - 1:41:28 PM

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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 (IFP), 2016, 71 (4), ⟨10.2516/ogst/2016003⟩. ⟨hal-01490444⟩

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