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小波束源有很强的局部性和方向性,它可以很容易的实现局部照明和偏移,除此之外,它的偏移效果也要好于常规的偏移方法。本文介绍了基于框架理论的小波束叠前深度偏移的基本原理。我们解释了基于Gaussian函数的G-D框架。小波束分解提供了局部空间和方向上的信息。我们在小波域中,分别应用矩形窗和Gaussian窗合成了小波束源和小波束记录,并基于傅立叶有限差分算子,对marmousi模型进行了叠前深度偏移试算。通过对单个,以及多个小波束源偏移结果对比分析,验证了Gaussian小波束叠前深度偏移方法的有效性。
Wavelet beam source has a strong local and directional, it can easily achieve local lighting and offset, in addition, its offset effect is better than the conventional offset method. This paper introduces the basic principle of beamlet pre-stack depth migration based on frame theory. We explain the G-D framework based on the Gaussian function. Wavelet beam decomposition provides local space and direction of information. In the wavelet domain, wavelet source and wavelet packet are synthesized by rectangular window and Gaussian window, respectively. Based on the Fourier finite difference operator, the marmousi model is prestack depth migration trial calculation. By comparing and analyzing single and multiple wavelet source offset results, the validity of Gaussian beamlet prestack depth migration method is verified.