Two-phase flow equations with a dynamic capillary pressure
| dc.contributor.author | Koch, Jan | |
| dc.contributor.author | Rätz, Andreas | |
| dc.contributor.author | Schweizer, Ben | |
| dc.date.accessioned | 2011-11-16T11:35:48Z | |
| dc.date.available | 2011-11-16T11:35:48Z | |
| dc.date.issued | 2011-11-16 | |
| dc.description.abstract | 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. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/29193 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-3066 | |
| dc.language.iso | en | |
| dc.subject | capillary hysteresis | en |
| dc.subject | finite-element scheme | en |
| dc.subject | two-phase flow | en |
| dc.subject.ddc | 610 | |
| dc.title | Two-phase flow equations with a dynamic capillary pressure | en |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access |