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Advances in Mechanical Engineering
Volume 2013 (2013), Article ID 137086, 11 pages
Research Article

On Full-Tensor Permeabilities of Porous Media from Numerical Solutions of the Navier-Stokes Equation

Yi Wang,1,2 Shuyu Sun,2 and Bo Yu1

1National Engineering Laboratory for Pipeline Safety, Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing 102249, China
2Computational Transport Phenomena Laboratory, Division of Physical Science and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia

Received 25 January 2013; Revised 28 May 2013; Accepted 3 June 2013

Academic Editor: Toshio Tagawa

Copyright © 2013 Yi Wang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A numerical method is proposed to compute full-tensor permeability of porous media without artificial simplification. Navier-Stokes (N-S) equation and Darcy’s law are combined to design these numerical experiments. This method can successfully detect the permeability values in principle directions of the porous media and the anisotropic degrees. It is found that the same configuration of porous media may possess isotropic features at lower Reynolds numbers while manifesting anisotropic features at higher Reynolds numbers due to the nonlinearity from convection. Anisotropy becomes pronounced especially when convection is dominant.