On the derivation of the Buckley-Leverett model from the two fluid Navier-Stokes equations in a thin domain

DOI10.1023/A:1011509010432zbMath0940.76092MaRDI QIDQ1298837

Andro Mikelić, Laetitia Paoli

Publication date: 20 October 1999

Published in: Computational Geosciences (Search for Journal in Brave)

zbMATH Keywords

two-phase incompressible immiscible flowmethod of asymptotic expansionsBuckley-Leverett equationrelative permeabilitieseffective one-dimensional equationsfractional flow curve

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Multiphase and multicomponent flows (76T99) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (10)

Mathematical models for fluids with pressure-dependent viscosity flowing in porous media ⋮ Upscaling of a Cahn–Hilliard Navier–Stokes model with precipitation and dissolution in a thin strip ⋮ Buckley--Leverett Equation with Viscosities and Relative Permeabilities Depending on Pressure ⋮ Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects ⋮ Fluid injection model without surface tension for resins in thin molds. ⋮ Homogenization of Nonlocal Navier--Stokes--Korteweg Equations for Compressible Liquid-Vapor Flow in Porous Media ⋮ A stochastic model for fronts in porous media ⋮ Phase-Field Modeling of Two Phase Fluid Filled Fractures in a Poroelastic Medium ⋮ On the generalized Buckley-Leverett equation ⋮ Steady state solutions for a lubrication multi-fluid flow

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