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

• Type: Article in International Conference Proceedings Book
• Date: 2014

Authors

Vítor Matos (Author) FEP; Castaneda, P (Author) Other; Marchesin, D (Author) Other

Conference proceedings International

Title: HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS

Pages: 791-799

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

Padova, ITALY, JUN 24-29, 2012

Indexing

ISI Web of Knowledge - 5 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 9