基于地震逆时偏移的线性化逆散射
Linearized inverse scattering based on seismic Reverse Time Migration
摘要：
本文研究了与反射地震资料成像有关的线性化反问题。介绍了一种由逆时偏移（RTM）导出的逆散射变换。在此过程中，避免了对所谓的正规算子的显式求值，而引入了其他微分和伪微分算子因子。我们证明，在一定的条件下，变换产生的部分逆，并支持这与数值模拟。此外，我们解释了最近讨论的“低频文物”在RTM，这是自然删除的新方法。
英文摘要：
In this paper we study the linearized inverse problem associated with imaging of reflection seismic data. We introduce an inverse scattering transform derived from reverse-time migration (RTM). In the process, the explicit evaluation of the so-called normal operator is avoided, while other differential and pseudodifferential operator factors are introduced. We prove that, under certain conditions, the transform yields a partial inverse, and support this with numerical simulations. In addition, we explain the recently discussed 'low-frequency artifacts' in RTM, which are naturally removed by the new method.
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