中国物理B ›› 2006, Vol. 15 ›› Issue (2): 412-421.doi: 10.1088/1009-1963/15/2/030

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Propagation of acoustic wave in viscoelastic medium permeated with air bubbles

梁彬, 朱哲民, 程建春   

  1. Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, Nanjing 210093, China
  • 收稿日期:2005-08-29 修回日期:2005-09-23 出版日期:2006-02-20 发布日期:2006-02-20
  • 基金资助:
    Project supported by the Excellent Youth Science Foundation of China (Grant No 10125417) and the State Key Development Program of Basic Research (Grant No 51315).

Propagation of acoustic wave in viscoelastic medium permeated with air bubbles

Liang Bin (梁彬), Zhu Zhe-Min (朱哲民), Cheng Jian-Chun (程建春)   

  1. Laboratory of Modern Acoustics and Institute of Acoustics, Nanjing University, Nanjing 210093, China
  • Received:2005-08-29 Revised:2005-09-23 Online:2006-02-20 Published:2006-02-20
  • Supported by:
    Project supported by the Excellent Youth Science Foundation of China (Grant No 10125417) and the State Key Development Program of Basic Research (Grant No 51315).

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摘要： Based on the modification of the radial pulsation equation of an individual bubble, an effective medium method (EMM) is presented for studying propagation of linear and nonlinear longitudinal acoustic waves in viscoelastic medium permeated with air bubbles. A classical theory developed previously by Gaunaurd (Gaunaurd GC and \"{U}berall H, {\em J. Acoust. Soc. Am}., 1978; 63: 1699--1711) is employed to verify the EMM under linear approximation by comparing the dynamic (i.e. frequency-dependent) effective parameters, and an excellent agreement is obtained. The propagation of longitudinal waves is hereby studied in detail. The results illustrate that the nonlinear pulsation of bubbles serves as the source of second harmonic wave and the sound energy has the tendency to be transferred to second harmonic wave. Therefore the sound attenuation and acoustic nonlinearity of the viscoelastic matrix are remarkably enhanced due to the system's resonance induced by the existence of bubbles.

关键词: acoustic wave, viscoelastic medium, bubble, nonlinearity

Abstract: Based on the modification of the radial pulsation equation of an individual bubble, an effective medium method (EMM) is presented for studying propagation of linear and nonlinear longitudinal acoustic waves in viscoelastic medium permeated with air bubbles. A classical theory developed previously by Gaunaurd (Gaunaurd GC and überall H, J. Acoust. Soc. Am., 1978; 63: 1699--1711) is employed to verify the EMM under linear approximation by comparing the dynamic (i.e. frequency-dependent) effective parameters, and an excellent agreement is obtained. The propagation of longitudinal waves is hereby studied in detail. The results illustrate that the nonlinear pulsation of bubbles serves as the source of second harmonic wave and the sound energy has the tendency to be transferred to second harmonic wave. Therefore the sound attenuation and acoustic nonlinearity of the viscoelastic matrix are remarkably enhanced due to the system's resonance induced by the existence of bubbles.

Key words: acoustic wave, viscoelastic medium, bubble, nonlinearity

中图分类号:  (Effect of nonlinearity on velocity and attenuation)

  • 43.25.Ed
43.25.Yw (Nonlinear acoustics of bubbly liquids) 43.30.Ma (Acoustics of sediments; ice covers, viscoelastic media; seismic underwater acoustics)