The estimation of bubble-size spectra and its error analysis

Abstract

Abstract. The issues of bubble-size spectra estimation were researched using the bubble resonance theory and an iterative approximation, in order to further understanding the performance of the two approaches for determining bubble-size spectra, the estimation accuracy of four bubble-size spectra models have been analyzed. It comes out that the bubbles with medium range of bubble-size spectra can be precisely determined using the two approaches, however, the bubbles distributed at the two-end of bubble-size spectra have poor performance. The iterative approach ,by which the mean of bubble-size spectra estimation error less than 3%,is significantly better for estimating bubble-size spectra than the bubble resonance, by which the mean of bubble-size spectra estimation error as much as 20%, meanwhile the iterative approach with smaller variation of the estimation error. Therefore the iterative approach has a better accuracy for determining bubble-size spectra than the resonance.