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充粘滞流体的裸眼井中弹性波的传播
引用本文:张劲. 充粘滞流体的裸眼井中弹性波的传播[J]. 山东大学学报(理学版), 1991, 0(2)
作者姓名:张劲
作者单位:山东大学数学系
摘    要:本文分析了在圆膜声源激励下充粘滞可压缩流体的裸眼井中的声场。在小扰动条件下,导出了粘滞流体的压缩波和切变波的波动方程,并求出了解析解。结果表明声波的波幅衰减指数与声源频率的平方和粘滞系数成正比,与声波的相速成反比。

关 键 词:切变波  压缩波  边界层  衰减因子  介质吸收

ELASTIC WAVE PROPAGATlON IN A CYLINDRICAL BOREHOLE FILLED WITH VISCOUS FLUID
Zhang Jin. ELASTIC WAVE PROPAGATlON IN A CYLINDRICAL BOREHOLE FILLED WITH VISCOUS FLUID[J]. Journal of Shandong University, 1991, 0(2)
Authors:Zhang Jin
Abstract:This paper analyses the field of a circular membranous acoustic sourcein a borehole,filled with a viscous compressible fluid.It deduces the equa-tions of pressure and shear waves for small disturbance and obtains the ana- lyrical solutions.The solutions show that the damped exponential of theamplitude of the acoustic wave is proportional to the square of the source'sfrequency and the viscosity factor of the fluid,but inversely proportionalto the phase velocity of the wave.
Keywords:shear wave  pressure wave  boundary layer  damping factor  absorption in medium  
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