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正交各向异性含液饱和多孔介质中应力波的传播 被引量:2

Stress wave propagation in orthotropic fluid-saturated porous media
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摘要 基于 Biot的孔隙介质理论 ,研究了正交各向异性含液饱和多孔介质中应力波的传播特性。本文引入动态渗透率 ,导出了整个实频域内应力波传播的复特征方程及其解析解 ,给出了各种应力波成分的波速和衰减的解析表达式 ,计算了频散曲线和衰减曲线 。 Based on the Blot's theory of porous media, the characteristic of stress wave propagation in the orthotropic fluid-saturated media was studied. The complex characteristic equations for stress wave propagation in the whole frequency domain were derived. The analytical expressions for wave speeds and attenuations were presented. The curves of dispersion and attenuation were illustrated. The coupling relations among three quasi-body waves and the effects of orthotropy of the medium on the stress wave propagation were discussed.
出处 《计算力学学报》 EI CAS CSCD 北大核心 2003年第4期434-439,共6页 Chinese Journal of Computational Mechanics
基金 国家自然科学基金 (1 9832 0 1 0 1 0 0 2 52 1 2 )资助项目
关键词 正交各向异性 含液饱和多孔介质 应力波 传播特性 动态渗透率 复特征方程 波速 衰减 频散 Attenuation Dispersion (waves) Frequency domain analysis Porous materials Saturation (materials composition)
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参考文献5

  • 1汪越胜,章梓茂.横观各向同性液体饱和多孔介质中平面波的传播[J].力学学报,1997,29(3):257-268. 被引量:14
  • 2Blot M A. Mechanics of deformations and acoustic propagation in porous media[J]. J Appl Phys, 1962,33(4) : 1482-1489.
  • 3Sharma M D, Gogna M L. Wave propagation in anisotropic liquid-saturated porous solids [J]. J Acoust So Am, 1991,90:1068-1703.
  • 4Johnoson D L. Theory of dynamic permeability and tortuosity in fluid-saturated porous media [J]. J Fluid Mec, 1987,176 :379-402.
  • 5Simon B R, Paul D K. An analytical solution for the transient response of saturated porous elastic solids[J]. Int J Numer Anal Geomech,1984,8,381-398.

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