Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range

Maurice A. Biot (1)

1 Columbia University [New York]

The theory of propagation of stress waves in a porous elastic solid developed in Part I for the low‐frequency range is extended to higher frequencies. The breakdown of Poiseuille flow beyond the critical frequency is discussed for pores of flat and circular shapes. As in Part I the emphasis of the treatment is on cases where fluid and solids are of comparable densities. Dispersion curves for phase and group velocities along with attenuation factors are plotted versus frequency for the rotational and the two dilational waves and for six numerical combinations of the characteristic parameters of the porous systems. Asymptotic behavior at high frequency is also discussed.

Domaines: Mécanique [physics.med-ph]

Maurice A. Biot. Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range. Journal of the Acoustical Society of America, 1956, 28 (2), pp.179-191. ⟨10.1121/1.1908241⟩. ⟨hal-01368668⟩