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无限流体中孔隙介质圆柱周向导波的传播特性
引用本文:苏娜娜,韩庆邦,蒋謇.无限流体中孔隙介质圆柱周向导波的传播特性[J].物理学报,2019,68(8):84301-084301.
作者姓名:苏娜娜  韩庆邦  蒋謇
作者单位:河海大学物联网工程学院, 常州 213022
基金项目:国家自然科学基金(批准号:11574072,11274091)和江苏省重点研发项目(批准号:BE2016056,BE2017013)资助的课题.
摘    要:为研究无限大流体约束的孔隙圆柱中周向导波的传播规律,分析孔隙参数对导波传播特性的影响,建立了无限流体中孔隙介质圆柱的理论模型,利用孔隙介质弹性波动理论,建立了周向导波频散方程,通过数值模拟计算得到无限流体中孔隙介质圆柱的频散曲线,探讨了圆柱半径和孔隙参数对导波传播特性的影响,并对导波的衰减特性进行了分析;通过数值计算,得到了周向导波的时域波形,讨论了孔隙参数对波形的影响.结果表明,孔隙介质圆柱半径的改变影响圆柱尺度,孔隙度的改变影响孔隙介质中体声波的波速,都对周向导波频散曲线产生一定的影响,所得到的频散曲线特征及衰减曲线与时域波形吻合.研究结果对开展无限流体中孔隙介质圆柱的超声无损评价提供了一定的理论参考.

关 键 词:周向导波  孔隙介质  频散特性
收稿时间:2018-12-29

Guided circumferential wave propagation characteristics for porous cylinder immersed in infinite fluid
Su Na-Na,Han Qing-Bang,Jiang Jian.Guided circumferential wave propagation characteristics for porous cylinder immersed in infinite fluid[J].Acta Physica Sinica,2019,68(8):84301-084301.
Authors:Su Na-Na  Han Qing-Bang  Jiang Jian
Institution:College of Internet of Things Engineering, Hohai University, Changzhou 213022, China
Abstract:Underground water, gas and oil all exist in the fractured or porous strata. Waves that propagate through porous cylinder immersed in infinite fluid are of considerable interest in the estimation of porous parameter, such as an underwater concrete column may present pore characteristics after a long time water immersion. Compared with longitudinal guided wave, circumferential guided wave has its advantages in the ultrasonic nondestructive inspection of porous cylinder. In order to investigate the propagation characteristics of guided waves in a porous cylinder immersed in infinite fluid and analyze the effects of the porous medium parameters on the dispersion characteristic, a model of porous cylinder surrounded by fluid is built. Based on the elastic-dynamic theory and modified liquid-saturated porous theory, the characteristic equation of guided wave is established, and the dispersion curves are obtained numerically. The effects of cylindrical radius and pore parameters on the propagation characteristics of guided waves are discussed; the attenuation characteristics of guided waves are also analyzed; the time domain waveforms of the guided circumferential waves are obtained by numerical inversion, and the influence of porous parameters on waveforms is simulated. It is found that the dispersion curves are similar to that of elastic cylinder in the fluid, there exist multiple mode guided waves and approximate shear velocity of medium for higher modes, and higher order modes are more affected by the radius, but it does not change the tendency of curve. The phase velocity decreases with porosity increasing at the same frequency and the effect of porosity on higher order modes is greater than that on mode 1; due to the dissipation in the medium, the attenuation increases porosity increasing. It can be seen from the transient responses that the wave packets move backward and the displacement amplitude decreases with the porosity increasing. The characteristics of the inversed transient response are in good agreement with theoretical dispersion and attenuation. The results show that the propagation of guided circumferential wave is affected by the pore parameters, especially for porosity, which can provide a theoretical reference for the non-destructive evaluation of the porous cylinder surrounded by infinite fluid.
Keywords:guided circumferential waves  porous media  dispersion
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