Comparison of Kramers-Krönig Relation and High-Frequency Acoustic Measurements in Water-Saturated Glass Beads

Title & Authors
Comparison of Kramers-Krönig Relation and High-Frequency Acoustic Measurements in Water-Saturated Glass Beads
Yang, Hae-Sang; Lee, Keun-Hwa; Seong, Woo-Jae;

Abstract
The necessary and sufficient condition for causality of a physical system can be expressed as Kramers-Kr$\small{\ddot{o}}$nig (K-K) relation. K-K relation for acoustic wave is a Hilbert transforms pair between dispersion equations of phase speed and attenuation. In this study, we quantitatively compare the acoustic measurements in water-saturated glass beads for the frequency ranges from 400 kHz to 1.1 MHz with the predictions of differential form of K-K relation obtained by Waters et al. For media with attenuation obeying an arbitrary frequency power law, acoustic measurements show good agreements with the predictions of Kramers-Kr$\small{\ddot{o}}$nig relation.
Keywords
Kramers-Kr$\small{\ddot{o}}$nig relation;porous medium;p-wave sound speed and attenuation;water-saturated glass beads;
Language
Korean
Cited by
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