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Effects of source and cavity depths on wave fields in homogeneous half spaces

机译:源和腔深度对均匀半空间波场的影响

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摘要

In homogeneous half spaces excited by small buried, spherically symmetric P-wave sources, Rayleigh waves (R-waves) could be generated. The effects of the source depth on the induced wave pattern and propagation behavior of R-waves are analyzed using the thin layer method. When a cavity is present in a homogeneous half space, R-waves could be formed in the scattered wave field. It is found that the energy of R-waves in the incident (direct) surface wave-field is related to the ratio of the source depth to the wavelength of R-waves; R-waves have relatively strong energy when the ratio is less than 1; the buried source induced R-waves approximately travel at the velocity of the planar R-waves in the range of the offset beyond about one wavelength; the energy of R-waves in the back-scattered surface wave-field depends on the ratio of the depth of cavity to the wavelength of R-waves; and for the case of the cavity presented at depths less than one wavelength, R-waves can be clearly observed in the back-scattered wave field. The results are helpful for selecting the source depth and the frequency component in seismic surveys and interpreting both the incident wave and the scattered wave patterns.
机译:在由小的埋藏的,球形对称的P波源激发的均匀半空间中,可能会产生瑞利波(R波)。使用薄层方法分析了源深度对感应波方向图和R波传播行为的影响。当在均匀的半空间中存在空腔时,在散射波场中可能会形成R波。研究发现,入射(直接)表面波场中R波的能量与源深度与R波波长的比有关。当比率小于1时,R波具有相对较强的能量;掩埋源感应的R波大约以平面R波的速度传播,其偏移范围超过一个波长。反向散射表面波场中R波的能量取决于腔深度与R波波长的比值。对于空洞深度小于一个波长的情况,可以在后向散射波场中清晰地观察到R波。这些结果有助于选择地震勘探中的震源深度和频率分量,并解释入射波和散射波模式。

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