Abstract
Three-dimensional wave-equation migration techniques are quite expensive because of the huge matrices that need to be inverted. Many techniques have been proposed to reduce this cost by splitting the 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, i.e., splitting into the coordinate directions at one depth and the diagonal directions at the next level. From numerical examples in homogeneous and inhomogeneous media, we conclude that alternate four-way splitting yields results of the same quality as full four-way splitting at the cost of two-way splitting.
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