The Permeability of Boolean Sets of Cylinders

François Willot (1) , Bassam Abdallah (1) , Dominique Jeulin (1)

1 CMM - Centre de Morphologie Mathématique

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.

Domaines: Matériaux

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