Abstract of the paper ``Dispersion of extensional waves in fluid-saturated
porous cylinders at ultrasonic frequencies''
Ultrasonic dispersion of extensional waves in fluid-saturated porous
cylinders is studied by analyzing generalized Pochhammer equations derived
using Biot's theory. Cases with open-pore surface and closed-pore surface
boundary conditions are considered. For both cases, the dispersion of the fast
extensional wave does not differ much qualitatively from the dispersion
expected for extensional waves in isotropic elastic cylinders. A slow
extensional wave propagates in the case with closed-pore surface but not
in the case with an open-pore surface.
The propagating slow wave has very weak dispersion and its speed is
always lower than, but close to, the bulk slow wave speed.
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