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首页> 外文期刊>International Journal of Geophysics >A Comparison of Splitting Techniques for 3D Complex Padé Fourier Finite Difference Migration
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A Comparison of Splitting Techniques for 3D Complex Padé Fourier Finite Difference Migration

机译：3D复杂PadéFourier有限差分迁移的分割技术比较

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摘要

Three-dimensional wave-equation migration techniques are still quite expensive because of the huge matrices that need to be inverted. Several techniques have been proposed to reduce this cost by splitting the full 3D problem into a sequence of 2D problems. We compare the performance of splitting techniques for stable 3D Fourier finite-difference (FFD) migration techniques in terms of image quality and computational cost. The FFD methods are complex Padé FFD and FFD plus interpolation, and the compared splitting techniques are two-and four-way splitting as well as alternating four-way splitting, that is, splitting into the coordinate directions at one depth and the diagonal directions at the next depth level. From numerical examples in homogeneous and inhomogeneous media, we conclude that, though theoretically less accurate, alternate four-way splitting yields results of comparable quality as full four-way splitting at the cost of two-way splitting.
机译：由于需要逆转庞大的矩阵，因此三维波方程偏移技术仍然非常昂贵。已经提出了几种技术来通过将整个3D问题分解为2D问题序列来降低成本。我们在图像质量和计算成本方面比较了稳定3D傅立叶有限差分（FFD）迁移技术的拆分技术的性能。 FFD方法是复杂的PadéFFD和FFD加内插法，比较的拆分技术是两向和四向拆分以及交替的四向拆分，即在一个深度处拆分为坐标方向，在深度处拆分为对角线方向。下一个深度级别。从均质和非均质介质中的数值示例中，我们得出的结论是，尽管理论上精度较低，但交替四路拆分产生的结果与以双向拆分为代价的完全四路拆分具有可比的质量。

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