Consistency in statistical moments as a test for bubble cloud clustering

Thomas C. Weber, Anthony P. Lyons, David L. Bradley

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


Frequency dependent measurements of attenuation and/or sound speed through clouds of gas bubbles in liquids are often inverted to find the bubble size distribution and the void fraction of gas. The inversions are often done using an effective medium theory as a forward model under the assumption that the bubble positions are Poisson distributed (i.e., statistically independent). Under circumstances in which single scattering does not adequately describe the pressure field, the assumption of independence in position can yield large errors when clustering is present, leading to errors in the inverted bubble size distribution. It is difficult, however, to determine the existence of clustering in bubble clouds without the use of specialized acoustic or optical imaging equipment. A method is described here in which the existence of bubble clustering can be identified by examining the consistency between the first two statistical moments of multiple frequency acoustic measurements.

Original languageEnglish (US)
Pages (from-to)3396-3405
Number of pages10
JournalJournal of the Acoustical Society of America
Issue number5
StatePublished - Nov 2011

All Science Journal Classification (ASJC) codes

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics


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