Microscopic interfaces in porous media
Homogenization techniques have been applied successfully to pore scale models of porous media, at least in the description of single-phase fluids. In the case that two phases are present (e.g. water and oil) one expects upscaled equations in the form of the Leverett two-phase flow system. Unfortunat...
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| Main Authors: | , |
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| Format: | Chapter/Article |
| Language: | English |
| Published: |
2007
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| In: |
Reactive flows, diffusion and transport
Year: 2007, Pages: 555-565 |
| DOI: | 10.1007/978-3-540-28396-6_20 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1007/978-3-540-28396-6_20 Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-540-28396-6_20 
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| Author Notes: | W. Jäger and B. Schweizer |
| Summary: | Homogenization techniques have been applied successfully to pore scale models of porous media, at least in the description of single-phase fluids. In the case that two phases are present (e.g. water and oil) one expects upscaled equations in the form of the Leverett two-phase flow system. Unfortunately, due to the appearance of many interfaces inside the porous medium and a lack of control of the geometric properties of the domains, no rigorous derivation of the Leverett system can be expected in the near future. In this contribution we report on rigorous derivations for geometries that allow a uniform description of the interfaces. |
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| Item Description: | Gesehen am 12.06.2018 |
| Physical Description: | Online Resource |
| ISBN: | 9783540283966 |
| DOI: | 10.1007/978-3-540-28396-6_20 |