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On an influence of the dispersion on the propagation of surface Rayleigh waves

机译:色散对表面瑞利波传播的影响

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The surface Rayleigh waves propagated along the boundary of the half-space covered by thin layer with different density, that causes a phase velocity dispersion similar to the interferential waves, are analyzed. The dispersion equation for these waves are derived that permits to plot the curve of frequency dependence of the wave phase velocity. As applied to the medium model of the layer on the half-space and to the pulse impact the calculation, formulas for the wave responses in the remote surface points are derived. That further used for the construction of the time dependence of the response. Presented illustrations show that some effects occur by the growth of the source-receiver distance. The increasing of the duration of the wave response on the pulse action, the increasing of the time delay of the wave appearance and the decreasing of the surface wave level are accompanying the wave propagation.
机译:分析了沿瑞利波沿着由不同密度的薄层覆盖的半空间的边界传播的结果,该瑞利波引起类似于干涉波的相速度色散。推导了这些波的色散方程,该方程可以绘制波的相位频率与频率的关系曲线。将其应用于半空间上的介质模型以及脉冲影响计算中,得出了在远处表面点处的波响应的公式。这进一步用于构建响应的时间依赖性。图示说明表明,随着信源接收器距离的增加,会产生一些影响。随波传播,伴随脉冲作用的波响应的持续时间的增加,波出现的时间延迟的增加和表面波水平的降低。

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