HOMOGENIZATION OF ELASTIC WAVES IN FLUID-SATURATED POROUS MEDIA USING THE BIOT MODEL

DOI10.1142/S0218202512500637zbMath1311.35017WikidataQ59901784 ScholiaQ59901784MaRDI QIDQ4917966

Alexander Mielke, Eduard Rohan

Publication date: 3 May 2013

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

zbMATH Keywords

wave propagationperiodic mediatwo-scale convergenceunstationary Darcy law

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Wave equation (35L05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Second-order hyperbolic systems (35L51)

Related Items (8)

Modelling of waves in fluid‐saturated porous media with high contrast heterogeneity: homogenization approach ⋮ A porous-media model for reactive fluid–rock interaction in a dehydrating rock ⋮ Rayleigh waves in anisotropic porous media and the polarization vector method ⋮ Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion ⋮ Homogenization of acoustic waves in strongly heterogeneous porous structures ⋮ Poro-viscoelasticity modelling based on upscaling quasistatic fluid-saturated solids ⋮ Modelling of acoustic waves in homogenized fluid-saturated deforming poroelastic periodic structures under permanent flow ⋮ Homogenization approach and Floquet-Bloch theory for wave analysis in fluid-saturated porous media with mesoscopic heterogeneities

Cites Work

• Weak-convergence methods for Hamiltonian multiscale problems
• On the homogenization of a diffusion-deformation problem in strongly heterogeneous media
• Semigroups of linear operators and applications to partial differential equations
• Wave motions in unbounded poroelastic solids infused with compressible fluids
• Wave propagation and localisation in a softening two-phase medium
• Poromechanics of freezing materials
• Mixed and Hybrid Finite Element Methods
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• The Periodic Unfolding Method in Homogenization
• Two-Scale Homogenization for Evolutionary Variational Inequalities via the Energetic Formulation
• Homogenizing the acoustic properties of the seabed. II.
• Unnamed Item

This page was built for publication: HOMOGENIZATION OF ELASTIC WAVES IN FLUID-SATURATED POROUS MEDIA USING THE BIOT MODEL