Abstract
The velocity dispersion in water-saturated granular marine sediments is an important subject that has remained unresolved in the community of sediment acoustics. Reported velocity dispersion results cannot be explained using the Biot model with the constant frame bulk modulus. The author showed that the values of the frame bulk modulus of water-saturated glass beads and beach sands are approximately 109 Pa at a frequency of 500 kHz and about ten times greater than those used typically in the community. Moreover, the author proposed a modified gap stiffness model incorporated into the Biot model (BIMGS model). Using this model, the author demonstrated that the frame bulk modulus has frequency dependence [M. Kimura, J. Acoust. Soc. Am. 1205 (2006)]. In this study, the BIMGS model is established using the measured results of the longitudinal wave velocities in glass beads saturated with alcohol-water mixed liquids. Then the velocity dispersion in glass beads and beach sands with different grain sizes are analyzed using the measured results of the longitudinal wave velocity at a much higher frequency and in the region of relaxation frequency. Finally, it is shown that the reported velocity dispersion can be explained using the BIMGS model.
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