Conclusion

I presented a P-wave depth migration for transversely anisotropic media based on an extended split-step operator. This TI migration operator resulted to be kinematically accurate on the synthetic model with constant $\eta=\delta$. I presented a generalization of the extended split-step migration in VTI media that handle lateral variations of the parameter ${\eta}$ by defining different reference ${\eta}$'s in a similar way reference velocities are defined. This approach allowed the anisotropic migration image steep events in the Marmousi model. In the same way that the accuracy of the isotropic split-step operator depends on the number of reference velocities used, the anisotropic depth migration depends on the number of reference velocities and ${\eta}$'s. The resulting migrated images with the Marmousi data set show that migrating with different reference ${\eta}$ is a good approach to handle lateral variation of this parameter.