Abstract
The propagation of an acoustic wave through two-phase porous media with spatial variation in porosity is studied. The evolutionary wave equation is derived, and the propagation of an acoustic wave is numerically analyzed in application to marine sediments with various physical parameters.
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References
B. T. Hefner and D.R. Jackson, “Dispersion and Attenuation Due to Scattering from Heterogeneities in the Frame Bulk Modulus of Sand Sediments,” J. Acoust. Soc. Am. 119(5), Pt. 2, 3447 (2006).
B. T. Hefner and D.R. Jackson, “Dispersion and Attenuation Due to Scattering from Heterogeneities in the Porosity of Sand Sediments,” J. Acoust. Soc. Am. 120(5), Pt. 2, 3098 (2006).
B. T. Hefner and D.R. Jackson, “The Role of Porosity Fluctuations in Scattering from Sand Sediments and in Propagation Losses within the Sediment,” J. Acoust. Soc. Am. 126(4), Pt. 2, 2168 (2009).
B. T. Hefner and D.R. Jackson, “Dispersion and Attenuation Due to Scattering from Heterogeneities of the Frame Bulk Modulus of a Poroelastic Medium,” J. Acoust. Soc. Am. 127(6), 3372 (2010).
E. A. Zabolotskaya and R.V. Khokhlov, “Quasi-Plane Waves in Nonlinear Acoustics of Bounded Beams,” Sov. Phys.-Acoust. 15, 35 (1969).
V. G. Bykov and V. N. Nikolaevskii, “Nonlinear Geoacoustic Waves in Sea Sediments,” Sov. Phys.-Acoust. 36, 342 (1990).
M. A. Biot, “Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range,” J. Acoust. Soc. Am. 28(2), 168 (1956).
M. A. Biot, “Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher-Frequency Range,” J. Acoust. Soc. Am. 28(2), 179 (1956).
M. A. Biot, “Generalized Theory of Acoustic Propagation in Porous Dissipative Media,” J. Acoust. Soc. Am. 34(9), 1254 (1962).
Ya.M. Zhileikin, J. I. Osypik, and N. I. Pushkina, “Diffracting Acoustic Beams of Finite Amplitude in Marine Sediments,” Acoust. Phys. 49(3), 305 (2003).
R. D. Stoll, Ocean Seismo-Acoustics, Low-Frequency Underwater Acoustics (Plenum, N.Y., 1986).
S. K. Godunov and V.S. Ryaben’kii, Difference Schemes (Nauka, Moscow, 1977) [in Russian].
N.P. Chotiros, “Biot Model of Sound Propagation in Water-Saturated Sand,” J. Acoust. Soc. Am. 97(1), 199 (1995).
R. D. Stoll, “Comments on “Biot Model of Sound Propagation in Water-Saturated Sand [J. Acoust. Soc. Am. 97, 199–214 (1995)],” J. Acoust. Soc. Am. 103(5), 2723 (1995).
J. L. Buchanan, “A Comparison of Broadband Models for Sand Sediments,” J. Acoust. Soc. Am. 120(6), 3584 (2006).
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Osypik, J.I., Pushkina, N.I. & Zhileikin, Y.M. Acoustic wave propagation in two-phase heterogeneous porous media. Phys. Wave Phen. 21, 238–244 (2013). https://doi.org/10.3103/S1541308X13030126
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DOI: https://doi.org/10.3103/S1541308X13030126