Inverse problem for determination of the bubble size spectrum

• Autorzy: Baranowska A. , Klusek Z.
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is a presentation of problems that might arise during determination of the bubble size spectrum in the sea using an inverse acoustics method. The mathematical model is introduced and limits of its numerical solution are discussed. Theoretical considerations lead to ill-posed system of integral equations and the system of linear equations resulting from a discretization process is solved using the Tikhonov regularization method. A mathematical model is tested for a power-law bubble size distribution. Some examples of theoretical studies related to this problem are provided. Practical applications of the bubble population determination algorithm on the basis of collected in situ empirical data concerning sound speed and attenuation are given.

• Wydawca: Polskie Towarzystwo Akustyczne. Oddział Gdański
• Czasopismo: Hydroacoustics
• Rocznik: 2014
• Tom: Vol. 17
• Strony: 7--16
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Baranowska A.

• Institute of Oceanology, Polish Academy of Sciences, Powstańców Warszawy 55, 81-712 Sopot, Poland

autor

Klusek Z.

• Institute of Oceanology, Polish Academy of Sciences, Powstańców Warszawy 55, 81-712 Sopot, Poland

Bibliografia

• [1] A. Baranowska, Numerical investigations of the nonlinear waves generation in a bubble layer, Hydroacoustics, Vol. 15, 7-12, 2012.
• [2] K. W. Commander, A. Prosperetti, Linear pressure waves in bubbly liquids: Comparison between theory and experiments, J.Acoust.Soc.Am., Vol. 85 (2), 732-746, 1989.
• [3] R. Duraiswami, S. Prabhukumar, G.L. Chahine, Bubble counting using an inverse acoustic scattering method, J. Acoust. Soc. Am. 104 (5), 2699-2717, 1998.
• [4] E. J. Terrill, W. K. Melville, A broadband acoustic technique for measuring bubble size distributions: Laboratory and shallow water measurements, J. Atmos. Oceanic Technol., Vol. 17, 220–239, 2000.
• [5] X. Wu , G. L. Chahine, Development of an acoustic instrument for bubble size distribution measurement, Journal of Hydrodynamics, Vol. 22(5), 325-331, 2010.