Multi-component multiphase flow through a poroelastic medium

DOI10.1007/s10659-018-09721-9zbMath1415.76615OpenAlexW2914062628WikidataQ128443320 ScholiaQ128443320MaRDI QIDQ2424167

Brian Seguin, Noel J. Walkington

Publication date: 24 June 2019

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-018-09721-9

zbMATH Keywords

thermodynamicsBiot theorymultiphase flowporoelasticity

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Thermodynamics of continua (80A17)

Related Items

Geometric variational approach to the dynamics of porous medium, filled with incompressible fluid, The role of the relative fluid velocity in an objective continuum theory of finite strain poroelasticity, Semilinear Degenerate Biot–Signorini System, Variational geometric approach to the thermodynamics of porous media, Actively deforming porous media in an incompressible fluid: a variational approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Entropy principle and recent results in non-equilibrium theories
• Multiphase flow modeling with density functional method
• The thermodynamics of elastic materials with heat conduction and viscosity
• Non-homogeneous media and vibration theory
• Diffusion in poro-elastic media
• Poroelasticity
• Flow of oil and water in a porous medium
• Lectures on the foundation of continuum mechanics and thermodynamics
• Evolution of phase transitions in methane hydrate
• Multi-component multiphase porous flow
• Models of phase transitions
• Advection of methane in the hydrate zone: model, analysis and examples
• Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
• Implicit Degenerate Evolution Equations and Applications
• A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model
• Computational Methods for Multiphase Flows in Porous Media
• An Introduction to Statistical Mechanics and Thermodynamics
• Degenerate two-phase incompressible flow. I. Existence, uniqueness and regularity of a weak solution
• Degenerate two-phase incompressible flow. III: Sharp error estimates.