| 利用声衰减反演气泡群分布的方法研究 |
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| 引用本文： | 侯森,胡长青,赵梅.利用声衰减反演气泡群分布的方法研究[J].物理学报,2021(4):189-198. |
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| 作者姓名： | 侯森 胡长青 赵梅 |
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| 作者单位： | 中国科学院声学研究所东海研究站;中国科学院大学 |
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| 基金项目： | 国家自然科学基金(批准号:11674353)资助的课题. |
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| 摘 要： | 通过测量含气泡水的声衰减反演气泡群参数是获取水中气泡分布的重要方法,但是经典方法忽略了较高浓度气泡水中的强频散特性和气泡振动参数的改变,导致反演较高浓度气泡群分布时会产生巨大误差.为解决这个问题,本文基于等效媒质理论建立起了声衰减和相速度的联系,并考虑了含气泡水平均量对气泡阻尼系数和共振频率的影响.在此基础上,通过将反演气泡分布和修正相速度及气泡振动参数交替迭代的方法,有效地消除了高浓度气泡水中由频散和气泡振动特性改变引起的误差.与实验数据对比发现,气泡群孔隙率达到10^-5时,考虑含气泡水的频散特性会显著降低反演误差;而当气泡群孔隙率达到10^-3时,气泡阻尼系数和共振频率的修正会对反演结果变得重要.本文方法在反演孔隙率为10^-3-10^-2的高浓度气泡群时,仍有较好效果,这可为获取水下较高浓度气泡群分布提供方法借鉴.
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| 关 键 词： | 气泡分布 声衰减 高浓度气泡群 迭代方法 |
Inversion method for bubble size distribution with sound attenuation |
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| Hou Sen,Hu Chang-Qing,Zhao Mei.Inversion method for bubble size distribution with sound attenuation[J].Acta Physica Sinica,2021(4):189-198. |
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| Authors: | Hou Sen Hu Chang-Qing Zhao Mei |
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| Affiliation: | (Shanghai Acoustic Laboratory,Institute of Acoustics,Chinese Academy of Sciences,Shanghai 201815,China;University of Chinese Academy of Sciences,Beijing 100049,China) |
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| Abstract: | Measurement of the bubble size distribution(BSD)and the void fraction in bubbly liquids is very important for many areas,such as ocean science,cavitation inception studies,and military applications.The methods of using acoustical attenuation caused by bubbly liquid to estimate the BSD can date back to Medwin’s research in which the resonant bubble approximation(RBA)was proposedMedwin H 1970 J.Geophys.Res.75599].In the traditional theory,the methods used to invert the acoustical attenuation for obtaining the BSD are well developed and useful for the low void fraction.However,the comparison between the results from the conventional methods and the experimental results is not satisfactory when the void fraction is higher than 10^-5.In fact,the frequency dispersion and the bubble interaction in bubbly liquid should be considered in the process of inverting the BSD for the high-density bubble group.In this paper,the relationship between the attenuation and the phase velocity of bubbly liquid is analyzed based on the effective medium theory,and the bubbles’interaction is considered by calculating the change of vibration parameters of bubbles.On this basis,we propose an iterative method to accurately determine the BSD of the high-density bubble group.In this iterative method,the errors of the inversion results are reduced by estimating the phase velocity and the vibration parameters of bubbles from sound attenuation.This iterative method is numerically tested for the bubble distributions of lognormal and power-law functions.The simulation results are in good agreement with the given bubble distributions for the void fractions higher than 10^-3.Further,the influence of the frequency dispersion and the bubble interaction on inversion results are discussed.Compared with the experimental data,the inversion results calculated by the iterative method show that considering the dispersion can significantly reduce the errors,when the void fraction of bubbly liquid increases up to 10^-5.And the correction to bubble damping coefficient and resonance frequency have an important effect on the inversion result when the void fraction of bubbly liquid is higher than 10^-3,indicating that the iterative method proposed by this paper can be a useful tool for inverting the BSD of the high-density bubble group in the liquid. |
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| Keywords: | bubble distribution sound attenuation high-density bubble group iterative method |
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