Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system
From MaRDI portal
Publication:2872415
DOI10.1063/1.4764887zbMath1331.35283OpenAlexW2090050600MaRDI QIDQ2872415
Andro Mikelić, Mary Fanett Wheeler
Publication date: 14 January 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.4764887
PDEs in connection with fluid mechanics (35Q35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (16)
Global existence of weak solutions to unsaturated poroelasticity ⋮ Iterative Coupling of Variational Space-Time Methods for Biot’s System of Poroelasticity ⋮ Reactive flows in deformable, complex media. Abstracts from the workshop held September 21--27, 2014. ⋮ Convergence of a continuous Galerkin method for hyperbolic-parabolic systems ⋮ Derivation of a poroelastic elliptic membrane shell model ⋮ Network-inspired versus Kozeny-Carman based permeability-porosity relations applied to Biot's poroelasticity model ⋮ Iterative Coupling for Fully Dynamic Poroelasticity ⋮ Phase-field modeling of fluid-driven dynamic cracking in porous media ⋮ A rigorous derivation of the equations for the clamped Biot-Kirchhoff-Love poroelastic plate ⋮ Iterative solvers for Biot model under small and large deformations ⋮ Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem ⋮ Robust iterative schemes for non-linear poromechanics ⋮ Post-processed Galerkin approximation of improved order for wave equations ⋮ Numerical Study of Galerkin–Collocation Approximation in Time for the Wave Equation ⋮ Space-time finite element approximation of the Biot poroelasticity system with iterative coupling ⋮ Galerkin–collocation approximation in time for the wave equation and its post-processing
Cites Work
- Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits
- Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits
- Numerical convergence study of iterative coupling for coupled flow and geomechanics
- Non-homogeneous media and vibration theory
- Homogenizing the acoustic properties of the seabed. I
- Poroelasticity equations derived from microstructure
- Theory of dynamic permeability and tortuosity in fluid-saturated porous media
- Rigorous link between fluid permeability, electrical conductivity, and relaxation times for transport in porous media
- A General Convergence Result for a Functional Related to the Theory of Homogenization
- Homogenizing the acoustic properties of a porous matrix containing an incompressible inviscid fluid
- ON THE INTERFACE LAW BETWEEN A DEFORMABLE POROUS MEDIUM CONTAINING A VISCOUS FLUID AND AN ELASTIC BODY
- Flow in random porous media: mathematical formulation, variational principles, and rigorous bounds
- Homogenizing the acoustic properties of the seabed. II.
This page was built for publication: Theory of the dynamic Biot-Allard equations and their link to the quasi-static Biot system
