Homogenization of the fluid-saturated piezoelectric porous media

Homogenization of the fluid-saturated piezoelectric porous media

The paper is devoted to the homogenization of porous piezoelectric materials saturated by electrically inert fluid. The solid part of a representative volume element consists of the piezoelectric skeleton with embedded conductors. The pore fluid in the periodic structure can constitute a single connected domain, or an array of inclusions. Also the conducting parts are represented by several mut...

Homogenization of two fluid flow in porous media

The macroscopic behaviour of air and water in porous media is often approximated using Richards' equation for the fluid saturation and pressure. This equation is parametrized by the hydraulic conductivity and water release curve. In this paper, we use homogenization to derive a general model for saturation and pressure in porous media based on an underlying periodic porous structure. Under an a...

Acoustoelasticity theory and applications for fluid-saturated porous media

The general theory for small dynamic motion superimposed upon large static deformation, or acoustoelasticity, is developed for isotropic fluid-filled poroelastic solids. Formulas are obtained for the change in acoustic wave speeds for arbitrary loading, both on the frame and the pore fluid. Specific experiments are proposed to find the complete set of third-order elastic moduli for an isotropic...

Seismic Wave Attenuation in Fluid-saturated Porous Media

Contrary to the traditional view, seismic attenuation in Biot's theory of uid-saturated porous media is due to viscous damping of local (not global) pore-uid motion. Since substantial inhomogeneities in uid permeability of porous geological materials are to be expected, the regions of highest local permeability contribute most to the wave energy dissipation while those of lowest permeability do...

Application of the Boundary Element Method to Three-Dimensional Dynamic Solution of Fluid-Saturated Porous Media Problems