Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Stochastic models of the scattering of sound by bubbles in the upper ocean

Authors: Peter C. C. Wang and Herman Medwin
Journal: Quart. Appl. Math. 32 (1975), 411-425
DOI: https://doi.org/10.1090/qam/99673
MathSciNet review: QAM99673
Full-text PDF

Abstract | References | Additional Information

Abstract: Stochastic models are developed to relate the statistics of sound speed fluctuations and bubble density variations as a function of sound frequency in the upper ocean. These predictions from the stochastic model have been compared with ocean experimental data of sound speed modulation in the frequency range 15 to 150 kHz, and show satisfactory agreement. Future experiments and further modification of this model are discussed.

References [Enhancements On Off] (What's this?)

  • [1] W. L. Stevens, Asymptotic regression, Biometrics 7 (1951), 247–267. MR 0045362, https://doi.org/10.2307/3001809
  • [2] R. W. Hiorns, The fitting of growth and allied curves of the asymptotic regression type by Stevens’s method, Tracts for Computers, No. XXVIII, Cambridge University Press, New York, 1965. MR 0195236
  • [3] Jurgen Rautmann, Sound dispersion and phase fluctuations in the upper ocean, Thesis, Naval Postgraduate School (1971)
  • [4] V. P. Glotov, Coherent scattering of plane and spherical waves in deep-sea layers containing discrete inhomogeneities, Soviet Physics Dokl. 7 (1962), 211–213. MR 0142399
  • [5] Herman Medwin, In-situ acoustic measurements of bubble populations in coastal ocean waters, J. Geophys. Research 75, 599-611 (1970)
  • [6] Vincent A. Del Grosso, Sound speed in pure water and sea water, J. Acoust. Soc. Amer. 47, 947-950 (1969)
  • [7] Z. W. Birnbaum and R. A. Hall, Small sample distributions for multi-sample statistics of the Smirnov type, Ann. Math. Statist. 31 (1960), 710–720. MR 0117837, https://doi.org/10.1214/aoms/1177705797
  • [8] James Fitzgerald, Statistical study of sound speed in the inhomogeneous upper ocean, Thesis in Engineering Acoustics, Naval Postgraduate School, December, 1972
  • [9] E. Skudrzyk Meyer, Sound absorption and sound absorbers in water, NAVSHIPS 900.164, 1, 1 December 1950
  • [10] Peter C. C. Wang and Herman Medwin, Statistical considerations to experiments on the scattering of sound by bubbles in the upper ocean, Technical Report NPS-53WG72101A, Naval Postgraduate School, Monterey, California (1972)

Additional Information

DOI: https://doi.org/10.1090/qam/99673
Article copyright: © Copyright 1975 American Mathematical Society

American Mathematical Society