Reversed time migration in spatial frequency domain
Reversed time migration in spatial frequency domain
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DOI：
10.1190/1.1441493
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发表时间：
1983-05
期刊：
影响因子：
3.3
通讯作者：
D. Loewenthal;I. Mufti
中科院分区：
文献类型：
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作者：
D. Loewenthal;I. Mufti
在过去的十年中，有限差分方法已经成为直接模拟地震数据以及某些解释过程的重要工具。这些方法在地震学中最早的应用之一是Alterman的开创性贡献，他在一系列论文(Alterman和Karal，1968；Alterman和Aboudi，1968；Alterman和Rotenberg，1969；Alterman和Loewenthal，1972)中证明了这种数值计算在弹性介质中传播地震波的有效性。在Alterman和Karal(1968)中，可以找到对这些技术的明确阐述，以及从它们获得的结果与相应的解析解的比较。Boore(1970)、Ottaviani(1971)和Kelly等人(1976)进一步发展并扩展到更复杂的模型。Claerbout引入了一种稍微不同的有限差分方法(Claerbout，1970；Claerbout and Johnson，1971)来模拟通常在反射地震记录中占主导地位的声波。在他的方法中，对控制声波传播的原始波动方程进行了修改，以允许只传播即将到来的波或只传播下行波。通过将坐标系与下行波一起移动，Claerbout证明可以大大减少计算时间。使用相同的概念，他展示了(Claerbout和Doherty，1972)如何使用类似的方案，通过向下延续即将到来的波来偏移地震剖面。这种迁移方法是Hagehoorn(1954)思想的有趣扩展，并被发现在实际数据中非常有用(Larner和Hatton，1976；Loewenthal等人，1976)。
During the past decade, finite-difference methods have become important tools for direct modeling of seismic data as well as for certain interpretation processes. One of the earliest applications of these methods to seismics is the pioneering contribution of Alterman who, in a series of papers (Alterman and Karal, 1968; Alterman and Aboudi, 1968; Alterman and Rotenberg, 1969; Alterman and Loewenthal, 1972) demonstrated the usefulness of such numerical computations for the propagation of seismic waves in elastic media. A clear exposition of these techniques, as well as a comparison of results obtained from them with the corresponding analytical solutions, can be found in Alterman and Karal (1968). This subject was further developed and extended to more complicated models by Boore (1970), Ottaviani (1971), and Kelly et al (1976). Claerbout introduced a somewhat different finite-difference approach (Claerbout, 1970; Claerbout and Johnson, 1971) for modeling the acoustic waves which often dominate the reflection seismogram. In his approach, the original wave equation, which governs the propagation of the acoustic waves, is modified in such a way so as to allow the propagation of either only upcoming or only downgoing waves. By moving the coordinate frame with the downgoing waves, Claerbout showed that one could greatly reduce computation time. Using the same concepts, he showed (Claerbout and Doherty, 1972) how to use a similar scheme for migrating a seismic section by downward continuation of the upcoming waves. This migration method is an interesting extension of the ideas of Hagedoorn (1954) and was found to be extremely useful with real data (Larner and Hatton, 1976; Loewenthal et al, 1976).