dc.contributor.author | Evje, Steinar | |
dc.contributor.author | Friis, Helmer André | |
dc.date.accessioned | 2014-02-18T14:13:36Z | |
dc.date.available | 2014-02-18T14:13:36Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Friis, H.A and Evje, S. (2011) Global weak solutions for a gas liquid model with external forces and general pressure law. SIAM journal on applied mathematics, 71(2), pp. 409-442 | no_NO |
dc.identifier.uri | http://hdl.handle.net/11250/183224 | |
dc.description | This is a copy of an article previously published in; SIAM journal on applied mathematics, which has been made available here with permission. Original article; http://dx.doi.org/10.1137/100813336. | no_NO |
dc.description.abstract | In this work we show existence of global weak solutions for a two-phase gas-liquid model where the gas phase is represented by a general isothermal pressure law, whereas the liquid is assumed to be incompressible. To make the model relevant for pipe and well-flow applications we have included external forces in the momentum equation representing, respectively, wall friction forces and gravity forces. The analysis relies on a proper combination of the methods introduced in [S. Evje and K. H. Karlsen, Commun. Pure Appl. Anal., 8 (2009), pp. 1867–1894], [S. Evje, T. Flåtten, and H. A. Friis, Nonlinear Anal., 70 (2009), pp. 3864–3886], where a two-phase gas-liquid model without external forces was studied for the first time, and on techniques that have been developed for the single-phase gas model. As a motivation for further research, some numerical examples are also included demonstrating the ability of the model to describe the ascent of a gas slug due to buoyancy forces in a vertical well. Characteristic features like expansion of the moving gas slug as well as counter-current flow mechanisms (i.e., liquid is moving downward due to gravity and gas is displaced upward) are highlighted. These examples are highly relevant for modeling of gas-kick flow scenarios, which represent a major concern in the context of oil and gas well control operations. | no_NO |
dc.language.iso | eng | no_NO |
dc.publisher | Society for Industrial and Applied Mathematics | no_NO |
dc.subject | two-phase flow | no_NO |
dc.subject | well model | no_NO |
dc.subject | gas-kick | no_NO |
dc.subject | weak solutions | no_NO |
dc.subject | Lagrangian coordinates | no_NO |
dc.subject | free boundary problem | no_NO |
dc.title | Global weak solutions for a gas liquid model with external forces and general pressure law | no_NO |
dc.type | Journal article | no_NO |
dc.type | Peer reviewed | no_NO |
dc.subject.nsi | VDP::Mathematics and natural science: 400 | no_NO |
dc.subject.nsi | VDP::Technology: 500::Rock and petroleum disciplines: 510 | no_NO |
dc.source.pagenumber | 409-442 | no_NO |
dc.source.volume | 71 | no_NO |
dc.source.journal | SIAM journal on applied mathematics | no_NO |
dc.source.issue | 2 | no_NO |
dc.identifier.doi | 10.1137/100813336 | |