Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range

1956/03/01 by M. A. Biot · 4,349 citations
Engineering · #Attenuation #Composite material #Critical frequency #Dispersion (optics) #Drilling and Well Engineering #Enhanced Oil Recovery Techniques #Flow (mathematics) #Fluid Dynamics and Vibration Analysis #Hagen–Poiseuille equation #Low frequency #Materials science #Mechanics #Optics #Phase (matter) #Phase velocity #Physics #Porosity #Porous medium #Range (aeronautics) #Wave propagation

paper · open access · doi:10.1121/1.1908241

published in The Journal of the Acoustical Society of America 28(2), 179-191 (Acoustical Society of America)

openalex publication_date 1956/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

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