Numerical study of compositional compressible degenerate two-phase flow in saturated-unsaturated heterogeneous porous media

详细信息    查看全文

• 作者：Ali S. Saad^a ; ^{alisaad@ksu.edu.sa" class="auth_mail" title="E-mail the corresponding author} ; Bilal Saad^b ; ^{bilal.saad@kaust.edu.sa" class="auth_mail" title="E-mail the corresponding author} ; Mazen Saad^c ; ^{Mazen.Saad@ec-nantes.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Finite volume scheme ; Finite element scheme ; Partially miscible flow ; Porous media ; Degenerate problem
• 刊名：Computers & Mathematics with Applications
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：71
• 期：2
• 页码：565-584
• 全文大小：540 K

文摘

We study the convergence of a combined finite volume–nonconforming finite element scheme on general meshes for a partially miscible two-phase flow model in anisotropic porous media. This model includes capillary effects and exchange between the phases. The diffusion term, which can be anisotropic and heterogeneous, is discretized by piecewise linear nonconforming triangular finite elements. The other terms are discretized by means of a cell-centered finite volume scheme on a dual mesh. The relative permeability of each phase is decentered according to the sign of the velocity at the dual interface. The convergence of the scheme is proved thanks to an estimate on the two pressures which allows to show estimates on the discrete time and compactness results in the case of degenerate relative permeabilities. A key point in the scheme is to use particular averaging formula for the dissolution function arising in the diffusion term. We show also a simulation of hydrogen production in nuclear waste management. Numerical results are obtained by in-house numerical code.