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An Inversion of Acoustical Attenuation Measurements to Deduce Bubble Populations

Czerski, H; (2012) An Inversion of Acoustical Attenuation Measurements to Deduce Bubble Populations. Journal of Atmospheric and Oceanic Technology , 29 (8) 1139 - 1148. 10.1175/JTECH-D-11-00170.1. Green open access

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Abstract

Measurement of natural bubble populations is required for many areas of ocean science. Acoustical methods have considerable potential for achieving this goal because bubbles scatter sound strongly close to their natural frequency, which depends largely on the bubble radius. The principle of using bulk acoustical attenuation caused by a bubble population to infer the number and size of bubbles present is well established, and appropriate methods for measuring broadband acoustical attenuation are also well developed. However, the numerical methods currently used to invert the acoustical attenuation to get the bubble size distribution are complex and time consuming. In this paper, a method for the inversion is presented that uses the physics of bubble resonance to restructure the problem so that it can be accurately carried out using a simple matrix inversion. This inversion method produces results that are correct to within a few percent over two orders of magnitude of bubble size. The most significant remaining issue for acoustical bubble measurement is the potential presence of bubbles that are resonant outside the measurement frequency range. The mathematical structure outlined here considerably simplifies the investigation of this problem, and calculations are presented that show this effect to be minor in many cases.

Type: Article
Title: An Inversion of Acoustical Attenuation Measurements to Deduce Bubble Populations
Open access status: An open access version is available from UCL Discovery
DOI: 10.1175/JTECH-D-11-00170.1
Publisher version: http://dx.doi.org/10.1175/JTECH-D-11-00170.1
Language: English
Additional information: © Copyright 2012 American Meteorological Society (AMS). Permission to use figures, tables, and brief excerpts from this work in scientific and educational works is hereby granted provided that the source is acknowledged. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act September 2010 Page 2 or that satisfies the conditions specified in Section 108 of the U.S. Copyright Act (17 USC §108, as revised by P.L. 94-553) does not require the AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a web site or in a searchable database, or other uses of this material, except as exempted by the above statement, requires written permission or a license from the AMS. Additional details are provided in the AMS Copyright Policy, available on the AMS Web site located at (http://www.ametsoc.org/) or from the AMS at 617-227-2425 or copyrights@ametsoc.org.
Keywords: Surface layer, Acoustic measurements/effects
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/1458419
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