We present a 3D Fourier finite-difference depth migration (FFD) method for waves in transversely isotropic media with a vertical axis of symmetry (VTI).The method can accommodate a wide range of anisotropy rather than weak anisotropy. The downward-continuation operator is split into three downward-continuation operators. This method can handle the strong lateral velocity variation. A complex treatment of the propagation operator is applied to mitigate inaccuracies and instabilities due to evanescent waves. Tests show that the method improves the image quality.

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