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1. M. Kimura, “ Velocity dispersion and attenuation in granular marine sediments: Comparison of measurements with predictions using acoustic models,” J. Acoust. Soc. Am. 129(6), 35443561 (2011).
2. L. Schwartz and T. J. Plona, “ Ultrasonic propagation in close-packed disordered suspensions,” J. Appl. Phys. 55(11), 39713977 (1984).
3. H. Yang, K. Lee, and W. Seong, “ High frequency dispersion model for the water-saturated granular medium,” J. Acoust. Soc. Am. 130(4), 2381 (2011).
4. J. G. Fikioris and P. C. Waterman, “ Multiple scattering of waves. II. ‘Hole corrections’ in the scalar case,” J. Math. Phys. 5(10), 14131420 (1964).
5. L. Tsang, J. A. Kong, and T. Habashy, “ Multiple scattering of acoustic waves by random distribution of discrete spherical scatterers with the quasicrystalline and Percus-Yevick approximation,” J. Acoust. Soc. Am. 71(3), 552558 (1982).
6. L. Tsang, J. A. Kong, K. Ding, and C. O. Ao, Scattering of Electromagnetic Waves: Numerical Simulations ( Wiley, New York, 2011).
7. L. Tsang and J. A. Kong, “ Multiple scattering of acoustic waves by random distributions of discrete scatterers with the use of quasicrystalline-coherent potential approximation,” J. Appl. Phys. 52(9), 54485458 (1981).
8. S. P. Goodwin, J. D. Boughey, and J. R. Heritage, “ Calculation of the hard sphere radial distribution function,” Mol. Phys. 75(4), 917923 (1992).
9. M. D. Richardson, K. L. Williams, K. B. Briggs, and E. I. Thorsos, “ Dynamic measurement of sediment grain compressibility at atmospheric pressure: Acoustic applications,” IEEE J. Ocean. Eng. 27(3), 593601 (2002).
10. D. K. Dacol and G. J. Orris, “ Wave number of the coherent acoustic field in a medium with randomly distributed spheres,” J. Phys. A: Math. Theor. 42(20), 205001 (2009).
11. M. Kimura, “ Erratum: Velocity dispersion and attenuation in granular marine sediments: Comparison of measurements with predictions using acoustic models [J. Acoust. Soc. Am. 129, 3544–3561 (2011)],” J. Acoust. Soc. Am. 135, 21262127 (2014).

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A closed-form solution for the effective wavenumber in a water-saturated medium as a function of the Rayleigh parameter is derived up to the second leading terms in the real part and first leading term in the imaginary part. This is based on the Waterman multiple scattering formulation with the quasicrystalline approximation (QCA) and the Percus–Yevick pair-correlation function. The formula's resultant sound speed and attenuation are compared to the regression relation matching the measurements in the Rayleigh scattering region [Kimura, J. Acoust. Soc. Am. (6), 3544–3561 (2011)]. The sound speeds are comparable. However, for the attenuation, it is shown that the QCA result underestimates the measured attenuation while its behavior exhibits similar frequency dependency of .


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