Autor(en): | Koch, Jan Rätz, Andreas Schweizer, Ben |
Titel: | Two-phase flow equations with a dynamic capillary pressure |
Sprache (ISO): | en |
Zusammenfassung: | We investigate the motion of two immiscible fluids in a porous medium described by the two-phase flow system. In the capillary pressure relation, we include static and dynamic hysteresis. The model is wellestablished in the context of the Richards equation, which is obtained by assuming a constant pressure for one of the two phases. We derive an existence result for this hysteresis-two-phase model for non-degenerate permeability and capillary pressure curves. A discretization scheme is introduced and numerical results for fingering experiments are obtained. The main analytical tool is a compactness result for two variables that are couled by an hysteresis relation. |
Schlagwörter: | capillary hysteresis finite-element scheme two-phase flow |
URI: | http://hdl.handle.net/2003/29193 http://dx.doi.org/10.17877/DE290R-3066 |
Erscheinungsdatum: | 2011-11-16 |
Enthalten in den Sammlungen: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Dateien zu dieser Ressource:
Datei | Beschreibung | Größe | Format | |
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mathematicalPreprint-2011-12.pdf | 823.3 kB | Adobe PDF | Öffnen/Anzeigen |
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