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Seismic reflector imaging using internal multiples with Marchenko-type equations

机译:使用带有Marchenko型方程的内部倍数的地震反射镜成像

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摘要

We present an imaging method that creates a map of reflection coefficients in correct one-way time with no contamination from internal multiples using purely a filtering approach. The filter is computed from the measured reflection response and does not require a background model. We demonstrate that the filter is a focusing wavefield that focuses inside a layered medium and removes all internal multiples between the surface and the focus depth. The reflection response and the focusing wavefield can then be used for retrieving virtual vertical seismic profile data, thereby redatuming the source to the focus depth. Deconvolving the upgoing by the downgoing vertical seismic profile data redatums the receiver to the focus depth and gives the desired image. We then show that, for oblique angles of incidence in horizontally layered media, the image of the same quality as for 1D waves can be constructed. This step can be followed by a linear operation to determine velocity and density as a function of depth. Numerical simulations show the method can handle finite frequency bandwidth data and the effect of tunneling through thin layers.
机译:我们提出了一种成像方法,该方法可在正确的单向时间内创建反射系数图,并且使用纯滤波方法不会受到内部倍数的污染。滤光器是根据测得的反射响应计算得出的,不需要背景模型。我们证明了滤波器是聚焦波场,它聚焦在分层介质内部,并消除了表面和聚焦深度之间的所有内部倍数。然后可以将反射响应和聚焦波场用于检索虚拟垂直地震剖面数据,从而将震源重新基准化为聚焦深度。通过向下的垂直地震剖面数据对上行进行反卷积,可以将接收器重新基准化为聚焦深度,并提供所需的图像。然后,我们表明,对于水平分层介质中的倾斜入射角,可以构造与一维波相同质量的图像。在此步骤之后可以进行线性运算,以确定速度和密度与深度的函数关系。数值模拟表明,该方法可以处理有限的频率带宽数据,并能通过薄层隧穿。

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