On a fully nonlinear degenerate parabolic system modeling immiscible gas–water displacement in porous media
| Autor: | Ziad Khalil, Mazen Saad |
|---|---|
| Přispěvatelé: | Laboratoire de Mathématiques Jean Leray (LMJL), Centre National de la Recherche Scientifique (CNRS)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN) |
| Rok vydání: | 2011 |
| Předmět: |
Materials science
Applied Mathematics 010102 general mathematics Degenerate energy levels General Engineering Thermodynamics General Medicine Mechanics 01 natural sciences Compressible flow Physics::Fluid Dynamics 010101 applied mathematics Computational Mathematics Nonlinear system Flow (mathematics) Phase (matter) Compressibility 0101 mathematics Porous medium General Economics Econometrics and Finance Displacement (fluid) ComputingMilieux_MISCELLANEOUS [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] Analysis |
| Zdroj: | Nonlinear Analysis: Real World Applications Nonlinear Analysis: Real World Applications, Elsevier, 2011, 12 (3), pp.1591-1615. ⟨10.1016/j.nonrwa.2010.10.015⟩ |
| ISSN: | 1468-1218 |
| DOI: | 10.1016/j.nonrwa.2010.10.015 |
| Popis: | In this paper, we are interested in the simultaneous flow of two immiscible fluid phases within a porous medium. We consider a two-phase flow model where the fluids are immiscible and there is no mass transfer between the phases. The medium is saturated by compressible/incompressible phase flows. We study the gas–water displacement without simplified assumptions on the state law of gas density. We establish an existence result for the nonlinear degenerate parabolic system based on new energy estimate on pressures. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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