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International Journal of Geophysics
Volume 2011 (2011), Article ID 530106, 5 pages
Research Article

Migration Using a Transversely Isotropic Medium with Symmetry Normal to the Reflector Dip

1King Abdullah University of Science and Technology, Thuwal, Saudi Arabia
2Center for Wave Phenomena, Colorado School of Mines, Golden, CO 80401, USA

Received 14 December 2010; Accepted 10 March 2011

Academic Editor: Martin Tygel

Copyright © 2011 Tariq Alkhalifah and Paul Sava. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A transversely isotropic (TI) model in which the tilt is constrained to be normal to the dip (DTI model) allows for simplifications in the imaging and velocity model building efforts as compared to a general TI (TTI) model. Although this model cannot be represented physically in all situations, for example, in the case of conflicting dips, it handles arbitrary reflector orientations under the assumption of symmetry axis normal to the dip. Using this assumption, we obtain efficient downward continuation algorithms compared to the general TTI ones, by utilizing the reflection features of such a model. Phase-shift migration can be easily extended to approximately handle lateral inhomogeneity using, for example, the split-step approach. This is possible because, unlike the general TTI case, the DTI model reduces to VTI for zero dip. These features enable a process in which we can extract velocity information by including tools that expose inaccuracies in the velocity model in the downward continuation process. We test this model on synthetic data corresponding to a general TTI medium and show its resilience.