In seismic imaging the aim is to obtain an image of the subsurface using reflection data. The reflection data are generated using sound waves and the sources and receivers are placed at the surface. The target zone, for example an oil or gas reservoir, lies relatively deep in the subsurface below several layers. The area above the target zone is called the overburden. This overburden will have an imprint on the image. Wavefield redatuming is an approach that removes the imprint of the overburden on the image by creating so-called virtual sources and receivers above the target zone. The virtual sources are obtained by determining the impulse response, or Green’s function, in the subsurface. The impulse response is obtained by deconvolving all up- and downgoing wavefields at the desired location. In this paper, we pose this deconvolution problem as a constrained least-squares problem. We describe the constraints that are involved in the deconvolution and show that they are associa...

中文翻译：

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正则化多维反褶积的地震波场重估

在地震成像中，目标是使用反射数据获得地下图像。使用声波生成反射数据，并将源和接收器放置在表面上。目标区域，例如石油或天然气储层，在地下几层以下相对较深。目标区域上方的区域称为覆盖层。此覆盖层将在图像上留下印记。波场重绘是一种通过在目标区域上方创建所谓的虚拟源和接收器来消除覆盖层在图像上的烙印的方法。通过确定地下的脉冲响应或格林函数获得虚拟源。脉冲响应是通过对所需位置的所有上行和下行波场进行解卷积而获得的。在本文中，我们将此反卷积问题视为约束最小二乘问题。我们描述了反卷积中涉及的约束，并表明它们是关联的。