A 2.5-D dynamic model for a saturated porous medium. I: Green's function

DOI10.1016/j.ijsolstr.2007.07.025zbMath1167.74398OpenAlexW2079644889MaRDI QIDQ833885

Dong-Sheng Jeng, Jian-Fei Lu, Sally Williams

Publication date: 14 August 2009

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijsolstr.2007.07.025

zbMATH Keywords

porous mediumbiot's theorythe Fourier transform2.5-D Green's functiondiscrete wavenumber

Mathematics Subject Classification ID

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

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A 2.5-D dynamic model for a saturated porous medium. II: Boundary element method ⋮ Frequency domain fundamental solutions for a poroelastic half-space ⋮ Dynamic 2.5-D Green's function for a poroelastic half-space ⋮ Dynamic 2.5-D Green's function for a point load or a point fluid source in a layered poroelastic half-space ⋮ An efficient method for predicting train-induced vibrations from a tunnel in a poroelastic half-space ⋮ Dynamic Green's functions for a poroelastic half-space ⋮ Fundamental solutions in 3D elastodynamics for the BEM: a review ⋮ Dynamic analysis of a poroelastic layered half-space using continued-fraction absorbing boundary conditions ⋮ Dynamic response of a stratified transversely isotropic half-space with a poroelastic interlayer due to a buried moving source ⋮ A half-space singular boundary method for predicting ground-borne vibrations ⋮ Decoupling coefficients of dilatational wave for Biot's dynamic equation and its Green's functions in frequency domain

Cites Work

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• Mechanics of Deformation and Acoustic Propagation in Porous Media
• Radiation from a point source and scattering theory in a fluid-saturated porous solid
• Theory of dynamic permeability and tortuosity in fluid-saturated porous media
• An Integral Formulation for Dynamic Poroelasticity
• Boundary element approach for dynamic poroelastic problems
• Application of 3D time domain boundary element formulation to wave propagation in poroelastic solids

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