3D Marchenko应用程序：实施和示例
3D Marchenko applications: implementation and examples
摘要：
我们实现了三维Marchenko方程检索响应地下虚拟源内。为此，我们需要在地球表面的反射数据，不包含自由表面多次波，并在空间中密集采样。所需的3D反射数据量非常大，并且求解Marchenko方程需要大量的计算成本。为了限制成本，我们对反射数据应用浮点压缩，以减少它们的体积和从磁盘加载的时间。我们将Marchenko实现应用于数值反射数据，以检索介质内的准确格林函数，并使用这些反射数据来应用成像。这需要模拟许多虚拟源点，我们通过使用虚拟平面波源而不是虚拟点源来规避。通过这种方法，我们检索的角度依赖的响应源从一个深度水平，而不是一个点。我们使用这些响应来获得地下的角度相关的结构图像，不受错误成像的内部多次波的污染。这些图像具有比使用虚拟点源获得的图像更小的横向分辨率，但是更有效地检索。
英文摘要：
We implement the 3D Marchenko equations to retrieve responses to virtual sources inside the subsurface. For this, we require reflection data at the surface of the Earth that contain no free-surface multiples and are densely sampled in space. The required 3D reflection data volume is very large and solving the Marchenko equations requires a significant amount of computational cost. To limit the cost, we apply floating point compression to the reflection data to reduce their volume and the loading time from disk. We apply the Marchenko implementation to numerical reflection data to retrieve accurate Green's functions inside the medium and use these reflection data to apply imaging. This requires the simulation of many virtual source points, which we circumvent by using virtual plane-wave sources instead of virtual point sources. Through this method, we retrieve the angle-dependent response of a source from a depth level rather than of a point. We use these responses to obtain angle-dependent structural images of the subsurface, free of contamination from wrongly imaged internal multiples. These images have less lateral resolution than those obtained using virtual point sources, but are more efficiently retrieved.
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