An explicit physics-based model for the transverse permeability of multi-material dual porosity fibrous media

A simple, explicit model for the transverse permeability of porous media comprised of alternating layers of tows of varying permeability has been proposed. The development of the model is based on results of numerical simulations as well as an earlier developed analytical model for the permeability...

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Bibliographic Details
Published in:Transport in porous media 2003-12, Vol.53 (3), p.265-280
Main Authors: MARKICEVIC, B, PAPATHANASIOU, T. D
Format: Article
Language:English
Subjects:
Computer simulation
Dimensionless numbers
Earth sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
Engineering geology
Exact sciences and technology
Mathematical models
Numerical prediction
Permeability
Porosity
Porous media
Simulation
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Summary:A simple, explicit model for the transverse permeability of porous media comprised of alternating layers of tows of varying permeability has been proposed. The development of the model is based on results of numerical simulations as well as an earlier developed analytical model for the permeability of such systems (Markicevic and Papathanasiou, 2003). Based on the above, as well as on physical arguments regarding the flow across such dual porosity media, we formulate an explicit model in terms of dimensionless permeabilities. Extensive validation of the model is carried out through numerical simulations using the CFD package FIDAP. A good agreement between the permeabilities predicted by the simple explicit model and those calculated numerically is found. From this model, the form of a master curve for the permeability of such system has been deduced.
ISSN:0169-3913
1573-1634
DOI:10.1023/A:1025090224582