CLASSIFICATION OF THE UMBILIC POINT IN IMMISCIBLE THREE-PHASE FLOW IN POROUS MEDIA

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2014

Autores

Vítor Matos (Autor) FEP; Castaneda, P (Autor) Outra; Marchesin, D (Autor) Outra

Ata de Conferência Internacional

Título: HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS

Páginas: 791-799

14th International Conference devoted to Theory, Numerics and Applications of Hyperbolic Problems (HYP)

Padova, ITALY, JUN 24-29, 2012

Indexação

ISI Web of Knowledge - 5 Citações

Outras Informações

ID Authenticus: P-00N-GE9

Abstract (EN): We consider the flow in a porous medium of three fluids that do not mix nor interchange mass. Under simplifying assumptions this is the case for oil, water and gas in a petroleum reservoir. For a simple geometry, the horizontal displacement of a pre-existent uniform mixture by another injected mixture gives rise to a Riemann problem for a system of two conservation laws. Such a system depends on laboratory-measured relative permeability functions for each of the three fluids. For Corey models each permeability depends solely on the saturation of the respective fluid, giving rise to systems containing an umbilic point in the interior of the saturation triangle. It has been conjectured that the structure of the Riemann solution in the saturation triangle is strongly influenced by the nature of the umbilic point, which is determined by the quadratic expansion of the flux function nearby. In 1987 it was proved that, for very general Corey permeabilities, umbilic points have types I or II in Schaeffer&Shearer's classification.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 9