Inertial Effects on Fluid Flow through Disordered Porous Media

J. S. Andrade, Jr., U. M. S. Costa, M. P. Almeida, H. A. Makse, and H. E. Stanley
Phys. Rev. Lett. 82, 5249 – Published 28 June 1999
PDFExport Citation

Abstract

We investigate the origin of the deviations from the classical Darcy law by numerical simulation of the Navier-Stokes equations in two-dimensional disordered porous media. We apply the Forchheimer equation as a phenomenological model to correlate the variations of the friction factor for different porosities and flow conditions. At sufficiently high Reynolds numbers, when inertia becomes relevant, we observe a transition from linear to nonlinear behavior which is typical of experiments. We find that such a transition can be understood and statistically characterized in terms of the spatial distribution of kinetic energy in the system.

  • Received 16 October 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.5249

©1999 American Physical Society

Authors & Affiliations

J. S. Andrade, Jr.1,3, U. M. S. Costa1, M. P. Almeida1, H. A. Makse2, and H. E. Stanley3

  • 1Departamento de Física, Universidade Federal do Ceará, 60451-970 Fortaleza, Ceará, Brazil
  • 2Schlumberger-Doll Research, Old Quarry Road, Ridgefield, Connecticut 06877
  • 3Center for Polymer Studies and Physics Department, Boston University, Boston, Massachusetts 02215

References (Subscription Required)

Click to Expand
Issue

Vol. 82, Iss. 26 — 28 June 1999

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×