Numerical resolution of a pseudo-parabolic Buckley-Leverett model with gravity and dynamic capillary pressure in heterogeneous porous media

DOI10.1016/j.jcp.2020.109395zbMath1436.76019OpenAlexW3011223804MaRDI QIDQ777590

Eduardo Abreu, Jardel Vieira, Paola Ferraz

Publication date: 7 July 2020

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109395

zbMATH Keywords

pseudo-parabolic equationdynamic capillary pressuretwo-phase flow in porous mediahybrid mixed finite element

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Capillarity (surface tension) for incompressible viscous fluids (76D45) Liquid-liquid two component flows (76T06)

Related Items (6)

On a 1D model with nonlocal interactions and mass concentrations: an analytical-numerical approach* ⋮ A study of non-equilibrium wave groups in two-phase flow in high-contrast porous media with relative permeability hysteresis ⋮ A new computational model for karst conduit flow in carbonate reservoirs including dissolution-collapse breccias ⋮ Spectral discretizations analysis with time strong stability preserving properties for pseudo-parabolic models ⋮ Linearly compact scheme for 2D Sobolev equation with Burgers' type nonlinearity ⋮ Abstract fractional linear pseudo-parabolic equations in Banach spaces: well-posedness, regularity, and asymptotic behavior

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