An existence result for a coupled system modeling a fully equivalent global pressure formulation for immiscible compressible two-phase flow in porous media (CROSBI ID 170161)
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Podaci o odgovornosti
Amaziane, Brahim ; Jurak, Mladen ; Žgaljić Keko, Ana
engleski
An existence result for a coupled system modeling a fully equivalent global pressure formulation for immiscible compressible two-phase flow in porous media
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
Immiscible compressible; Two-phase flow; Global pressure; Porous media
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Podaci o izdanju
250 (3)
2011.
1685-1718
objavljeno
0022-0396
10.1016/j.jde.2010.09.008