Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media

Galindo-Torres, S. A., Scheuermann, A. and Li, L. (2012) Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media. Physical Review E, 86 4: 046306.1-046306.9. doi:10.1103/PhysRevE.86.046306

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Author Galindo-Torres, S. A.
Scheuermann, A.
Li, L.
Title Numerical study on the permeability in a tensorial form for laminar flow in anisotropic porous media
Journal name Physical Review E   Check publisher's open access policy
ISSN 1539-3755
1550-2376
Publication date 2012-10
Sub-type Article (original research)
DOI 10.1103/PhysRevE.86.046306
Open Access Status File (Publisher version)
Volume 86
Issue 4
Start page 046306.1
End page 046306.9
Total pages 9
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2013
Language eng
Abstract Pore-scale flow simulations were conducted to investigate the permeability tensor of anisotropic porous media constructed using the Voronoi tessellation method. This construction method enabled the introduction of anisotropy to the media at the particle level in a random and yet controllable way. Simulations were carried out for media with different degrees of anisotropy through varying the mean aspect ratio of grain particles. The simulation results were then analyzed using the Kozeny-Carman (KC) model. The KC model describes the permeability of the anisotropic media in a tensor form with the anisotropy represented by different tortuosities along the three principal directions. The tortuosity tensor was found to be a complex function of the particle morphology, which is yet to be fully determined. However, the results presented have established the starting point for further theoretical development to formulate such a function and to build closed-form analytical permeability models for anisotropic porous media based on first principles.
Keyword Navier-Stokes equation
Non-Darcy flow
Law
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Civil Engineering Publications
Official 2013 Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 10 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 9 times in Scopus Article | Citations
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Created: Thu, 15 Nov 2012, 11:33:00 EST by System User on behalf of School of Civil Engineering