About the transition frequency in Biot's theory.
Biot's theory of wave propagation in porous media includes a characteristic frequency which is used to distinguish the low-frequency from the high-frequency range. Its determination is based on an investigation of fluid flow through different pore geometries on a smaller scale and a subsequent upscaling process. This idea is limited due to the assumptions made on the smaller scale. It can be enhanced for a general two-phase system by three properties: Inertia of the solid, elasticity of the solid, and frequency dependent corrections of the momentum exchange. They become important for highly porous media with liquids.
Institute of Mechanics, Ruhr-University Bochum, Universitaetsstr. 150, 44780 Bochum, Germany. patrick.kurzeja@rub.de
Patrick S
PS
Kurzeja
Holger
H
Steeb