Abstract
On the basis of fractals, the theory of sound attenuation was modified, in which the viscous wavelength was proposed as a scale. By matching the theory to the data of the sound attenuation measured in the sediment in nature, the lower and the upper cutoffs between which the power law proposed by Katz and Thompson is valid were selected, and the fractal dimension of the sediment was obtained. Finally, the fractal dimension of the medium can be estimated in the lower frequency range as well, where the viscous wavelength is greater than the average radius. \textcopyright{} 1996 The American Physical Society.
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