Inertia Effects in High-Rate Flow Through Heterogeneous Porous Media
| Autor: | Roland N. Horne, Mostafa Fourar, Mohammad Karimi-Fard, Roland Lenormand |
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| Rok vydání: | 2005 |
| Předmět: |
Physics
Scale (ratio) General Chemical Engineering media_common.quotation_subject Flow (psychology) Reynolds number Mechanics Inertia Catalysis Physics::Fluid Dynamics symbols.namesake Permeability (earth sciences) symbols Blake number Geotechnical engineering Porous medium Constant (mathematics) media_common |
| Zdroj: | Transport in Porous Media. 60:353-370 |
| ISSN: | 1573-1634 0169-3913 |
| DOI: | 10.1007/s11242-004-6800-6 |
| Popis: | The paper deals with the effects of large scale permeability–heterogeneity on flows at high velocities through porous media. The media is made of a large number of homogeneous blocks where the flow is assumed to be governed by the Forchheimer equation with a constant inertial coefficient. By assuming the validity of the Forchheimer equation at the large scale, an effective inertial coefficient is deduced from numerical simulations. Different media are investigated: serial-layers, parallel-layers and correlated media. The numerical results show that: (i) for the serial-layers, the effective inertial coefficient is independent of the Reynolds number and decreases when the variance and the mean permeability ratio increases; (ii) for the parallel-layers and the correlated media, the effective inertial coefficient is function of the Reynolds number and increases when the variance and the mean permeability ratio increases. Theoretical relationships are proposed for the inertial coefficient as function of the Reynolds number and the characteristics of the media. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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