On a fully nonlinear degenerate parabolic system modeling immiscible gas–water displacement in porous media

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• 作者：Ziad Khalil^a ; ^{Ziad.Khalil@ec-nantes.fr} ; Mazen Saad ; ^a ; ^{Mazen.Saad@ec-nantes.fr}
• 关键词：Degenerate system ; Nonlinear parabolic system ; Compressible flow ; Porous media
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2011
• 出版时间：June 2011
• 年：2011
• 卷：12
• 期：3
• 页码：1591-1615
• 全文大小：366 K

文摘

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.