分层类地球模式中的全球声日光成像
Global acoustic daylight imaging in a stratified Earth-like model
摘要:
我们提出了一个类似地球的模型,假设一个广义过程的噪声源空间上支持在一个环形远离表面的声学日光成像的分析。我们假设标量波传播的情况下,测量的波场在表面。然后,我们得到的测量值的自相关函数和由一个脉冲源产生的散射场的轨迹之间的关系定位在地表下。从这个关系,例如,很明显,本征频率可以从自相关恢复。此外,完全散射算子可以提取的附加假设下,环是接近的表面,并具有小于的典型波长的厚度。
英文摘要:
We present an analysis of acoustic daylight imaging in an Earth-like model assuming a random distribution of noise sources spatially supported in an annulus located away from the surface. We assume a situation with scalar wave propagation and that the measurements are of the wave field at the surface. Then, we obtain a relation between the autocorrelation function of the measurements and the trace of the scattered field generated by an impulsive source localized just below the surface. From this relation it is, for example, clear that the eigenfrequencies can be recovered from the autocorrelation. Moreover, the complete scattering operator can be extracted under the additional assumption that the annulus is close to the surface and has a thickness smaller than the typical wavelength.
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