Naslov
An existence result for a coupled system modeling a fully equivalent global pressure formulation for immiscible compressible two-phase flow in porous media

Autori
Amaziane, Brahim ; Jurak, Mladen ; Žgaljić Keko, Ana

Izvornik
Journal of Differential Equations (0022-0396) 250 (2011), 3; 1685-1718

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Immiscible compressible; Two-phase flow; Global pressure; Porous media

Sažetak
A new model describing immiscible, compressible two-phase flow, such as water–gas, through heterogeneous porous media is considered. The main feature of this model is the introduction of a new global pressure and the full equivalence to the original equations. The resulting equations are written in a fractional flow formulation and lead to a coupled system which consists of a nonlinear parabolic equation (the global pressure equation) and a nonlinear diffusion–convection one (the saturation equation). Under some realistic assumptions on the data, we show an existence result with the help of appropriate regularizations and a time discretization. We use suitable test functions to get a priori estimates. In order to pass to the limit in nonlinear terms, we also obtain compactness results which are nontrivial due to the degeneracy of the system

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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