The Permeability of Boolean Sets of Cylinders

The Permeability of Boolean Sets of Cylinders

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 cylind...

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Main Authors: Willot F., Abdallah B., Jeulin D.
Format: Article
Language:English
Published: EDP Sciences 2016-07-01
Series:Oil & Gas Science and Technology
Online Access:http://dx.doi.org/10.2516/ogst/2016003
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spelling doaj-deabff6a462041fda88f658fd3a39d8b2021-02-02T04:43:17ZengEDP SciencesOil & Gas Science and Technology1294-44751953-81892016-07-017145210.2516/ogst/2016003ogst150154The Permeability of Boolean Sets of CylindersWillot F.Abdallah B.Jeulin D.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.http://dx.doi.org/10.2516/ogst/2016003
collection DOAJ
language English
format Article
sources DOAJ
author Willot F.
Abdallah B.
Jeulin D.
spellingShingle Willot F.
Abdallah B.
Jeulin D.
The Permeability of Boolean Sets of Cylinders
Oil & Gas Science and Technology
author_facet Willot F.
Abdallah B.
Jeulin D.
author_sort Willot F.
title The Permeability of Boolean Sets of Cylinders
title_short The Permeability of Boolean Sets of Cylinders
title_full The Permeability of Boolean Sets of Cylinders
title_fullStr The Permeability of Boolean Sets of Cylinders
title_full_unstemmed The Permeability of Boolean Sets of Cylinders
title_sort permeability of boolean sets of cylinders
publisher EDP Sciences
series Oil & Gas Science and Technology
issn 1294-4475
1953-8189
publishDate 2016-07-01
description 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.
url http://dx.doi.org/10.2516/ogst/2016003
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AT jeulind thepermeabilityofbooleansetsofcylinders
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AT abdallahb permeabilityofbooleansetsofcylinders
AT jeulind permeabilityofbooleansetsofcylinders
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