Abstract
We have recently introduced the split-step Pade migration method based on the formal solution of the one-way wave equation. It can be much more efficient than conventional finitedifference parabolic-equation schemes for a given model, and can produce images of complex structures with fewer numerical artifacts than the latter. To further improve migration accuracy, we develop a split-step Fourier Pade migration method that uses the split-step Fourier scheme followed by a split-step Pade compensation during wavefield depth extrapolation. The method is based on a new approximation to the formal solution of the one-way wave equation, rather than on the approximation to the square-root operator in the one-way wave equation. It has almost the same advantages of Fourier-transform-based migration methods, that is, it is exact in homogeneous regions, and can use a much larger grid spacing than conventional finitedifference parabolic-equation methods to produce high-quality images for large 3-D imaging problems.
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