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The Kramers-Kronig dispersion relationship is used to discuss the interdependence between velocity and attenuation in sediments and sea water. It is shown that if the attenuation is proportional to the n th power of the frequency, there is no velocity dispersion if n = 1 or 2 but that dispersion exists for nonintegral values of n. The theoretical relation agrees with the experimental measurements of L. Hampton for a sediment with n = 1.37. The relaxation process of sea water is considered and it is shown that the velocity dispersion is slightly greater than the precision of velocity measurements.
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C. W. Horton (1974) studied this question.
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