Single‐phase flow in composite poroelastic media

DOI10.1002/mma.276zbMath1097.35067OpenAlexW2059869905MaRDI QIDQ4331140

Bahareh Momken, Ralph E. Showalter

Publication date: 2002

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.276

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic systems (35K45)

Related Items

Homogenization of a fully coupled thermoelasticity problem for a highly heterogeneous medium with a priori known phase transformations, A loosely-coupled scheme for the interaction between a fluid, elastic structure and poroelastic material, A posteriori error estimation and adaptivity for multiple-network poroelasticity, Homogenization of a poroelasticity model for fiber‐reinforced hydrogels, Upscaling of a diffusion problem with interfacial flux jump leading to a modified Barenblatt model, Modeling large-deformation-induced microflow in soft biological tissues, A Mixed Finite Element Method for Nearly Incompressible Multiple-Network Poroelasticity, On the homogenization of a diffusion-deformation problem in strongly heterogeneous media, Homogenization of a poro-elasticity model coupled with diffusive transport and a first order reaction for concrete, Some existence-uniqueness results for a class of one-dimensional nonlinear Biot models, Finite difference analysis of a double-porosity consolidation model, Existence for nonlinear evolution equations and application to degenerate parabolic equation, Well-posedness and discrete analysis for advection-diffusion-reaction in poroelastic media

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the theory of consolidation with double porosity. II
• On the theory of consolidation with double porosity
• Propagation of waves in a fluid-saturated porous elastic solid
• Consolidation of a double-porosity medium
• Diffusion in poro-elastic media
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• Theory of Elasticity and Consolidation for a Porous Anisotropic Solid
• Mechanics of Deformation and Acoustic Propagation in Porous Media
• Flow through fissured porous media with deformable matrix
• Asymptotic study of the macroscopic behaviour of a solid-fluid mixture
• Theory of Laminar Flames