A Description of Seismic Acoustic Wave Propagation in Porous Media via Homogenization

DOI10.1137/070697483zbMath1180.35079OpenAlexW1973701133MaRDI QIDQ3630362

Anvarbek M. Meirmanov

Publication date: 28 May 2009

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070697483

zbMATH Keywords

homogenizationwave equationsStokes equations

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (12)

Homogenization of Acoustic Equations for a Partially Perforated Elastic Material with Slightly Viscous Fluid ⋮ Derivation of equations of seismic and acoustic wave propagation and equations of filtration via homogenization of periodic structures ⋮ Derivation of an averaged model of isothermal acoustics in a heterogeneous medium in the case of two different poroelastic domains ⋮ Averaging of acoustic equation for partially perforated viscoelastic material with channels filled by a liquid ⋮ Homogenization of the acoustic equations for a porous long-memory viscoelastic material filled with a viscous fluid ⋮ Problem of the boundary control of oscillations of a sample of a layered two-phase composite material ⋮ Spectrum of one-dimensional oscillations in the combined stratified medium consisting of a viscoelasticmaterial and a viscous compressible fluid ⋮ Homogenization of equations of dynamics of a medium consisting of viscoelastic material with memory and incompressible Kelvin-Voigt fluid ⋮ Averaging the acoustics equations for a viscoelastic material with channels filled with a viscous compressible fluid ⋮ DOUBLE POROSITY MODELS FOR LIQUID FILTRATION IN INCOMPRESSIBLE POROELASTIC MEDIA ⋮ Mathematical models of a hydraulic shock ⋮ On homogenized equations of filtration in two domains with common boundary

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