An existence result for three-component two-phase incompressibleflow with dynamic capillary pressure in porous media
DOI:
https://doi.org/10.2298/FIL2604225MKeywords:
Degenerate problem, Nonlinear parabolic problem, Polymer component, Dynamic capillary pressure, Incompressible flow, Porous medium.Abstract
The aim of this work is to prove the existence of weak solutions ofa two-phase (aqueous and oil) immiscible and incompressible flow
model with dynamic capillary pressure in porous media and
three components (water, polymer and oil).
The mathematical model is obtained by writing down the mass
conservation for wetting and non-wetting phase and the mass
conservation for polymer component in the wetting phase. We obtain a nonlinear parabolic degenerate problem of equations
in term of oil and water saturations, and polymer concentration in
wetting phase.
