Foam-liquid front motion in Eulerian coordinates

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dc.contributor.authorTorres-Ulloa, C.
dc.contributor.authorBerres, S.
dc.contributor.authorGrassia, P.
dc.date2018
dc.date.accessioned2019-06-19T20:21:39Z
dc.date.available2019-06-19T20:21:39Z
dc.date.issued2019-06-19
dc.description.abstractA mathematical model formulated as a system of Hamilton-Jacobi equations describes implicitly the propagation of a foam-liquid front in an oil reservoir, as the zero-level set of the solution variable. The conceptual model is based on the 'pressure-driven growth' model in Lagrangian coordinates. The Eulerian mathematical model is solved numerically, where the marching is done via a finite volume scheme with an upwind flux. Periodic reinitialization ensures a more accurate implicit representation of the front. The numerical level set contour values are initially formed to coincide with an early time asymptotic analytical solution of the pressure-driven growth model. Via the simulation of the Eulerian numerical model, numerical data are obtained from which graphical representations are generated for the location of the propagating front, the angle that the front normal makes with respect to the horizontal and the front curvature, all of which are compared with the Lagrangian model predictions. By making this comparison, it is possible to confirm the existence of a concavity in the front shape at small times, which physically corresponds to an abrupt reorientation of the front over a limited length scalees_ES
dc.formatPDFes_ES
dc.identifier.citationProceedings of the Royal Society A:Mathematical, Physical and Engineering Sciences, Vol. 474, N°2220, 2018
dc.identifier.doi10.1098/rspa.2018.0290es_ES
dc.identifier.urihttp://repositoriodigital.uct.cl/handle/10925/1922
dc.language.isoenes_ES
dc.publisherRoyal Society
dc.rightsObra bajo licencia Creative Commons 3.0es_ES
dc.sourceProceedings of the Royal Society A: Mathematical, Physical and Engineering Scienceses_ES
dc.subjectFoam improved oil recoveryes_ES
dc.subjectPressure-driven growthes_ES
dc.subjectLevel set methodes_ES
dc.subjectSemidiscrete central-upwind schemees_ES
dc.titleFoam-liquid front motion in Eulerian coordinateses_ES
dc.typeArtículo de Revistaes_ES
uct.catalogadormlmes_ES
uct.comunidadIngenieríaes_ES
uct.indizacionSCOPUSes_ES
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