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Separation of Blended Seismic Data Using the Synchrosqueezed Curvelet Transform

机译:使用SynchroSqueezed Curvelet变换分离混合的地震数据

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摘要

Time-frequency (TF) analysis algorithms are widely used to process seismic data. Unfortunately, most TF analysis algorithms cannot process 2-D seismic data, which contain more information than 1-D data. In fact, 2-D $x$ - $t$ domain seismic data should be analyzed in the multi-dimensional phase space (MDPS). In this letter, we develop and explain an MDPS analysis method for 2-D seismic data. In order to map the 2-D seismic data into MDPS, the synchrosqueezed curvelet transform (SSCT) is extended from the $x$ - $y$ domain to the $x$ - $t$ domain. By comparing the 2-D synchrosqueezing transform (SST) with the 1-D SST, we explain how the 2-D SST makes the connection between the 4-D curvelet domain and the 4-D space-time-wavenumber-frequency domain (xt-kf domain). This new analytical method can help us to obtain the angle, scale, frequency, and wavenumber information, which are useful to separate the overlapped seismic data. The numerical example and real data example illustrate the effectiveness of this method.
机译:时频(TF)分析算法广泛用于处理地震数据。不幸的是,大多数TF分析算法不能处理包含更多信息的2-D地震数据,而不是1-D数据。实际上,2-D $ x $ - $ t $域地震数据应在多维相空间(MDPS)中分析。在这封信中,我们开发并解释了2-D地震数据的MDP分析方法。为了将2-D地震数据映射到MDPS中,SynchroSqueezed Curvelet变换(SSCT)从$ x $ - $ y $域扩展到$ x $ - $ t $域。通过将2-D同步调节变换(SST)与1-D SST进行比较,我们解释了2-D SST如何使4-D Curvelet结构域和4-D时空波数 - 频域之间的连接( XT-KF域)。这种新的分析方法可以帮助我们获得角度,刻度,频率和波数信息,这对于分离重叠的地震数据是有用的。数值示例和实际数据示例说明了该方法的有效性。

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