We propose a 3-D common azimuth anisotropic depth migration method based on the Fourier finite-difference (FFD) solution of the DSR wave equation in vertically transversely isotropic (VTI) media. The common azimuth assumption of the input seismic data reduces the 3-D depth imaging problem to a 4-D from a 5-D computation. The FFD solution of the one-way wave equation makes it suitable for strong lateral velocity variations as well as a wide range of laterally-variable anisotropy rather than constant or weak anisotropy in the migration. Both synthetic and field data tests show that the proposed 3-D prestack anisotropic migration algorithm works well and is feasible for 3-D applications in practice.

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