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International Journal of Geophysics
Volume 2011, Article ID 484653, 8 pages
Research Article

Azimuthally Anisotropic 3D Velocity Continuation

The University of Texas at Austin, TX 78712, Austin, USA

Received 28 October 2010; Accepted 5 March 2011

Academic Editor: Yu Zhang

Copyright © 2011 William Burnett and Sergey Fomel. 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.


We extend time-domain velocity continuation to the zero-offset 3D azimuthally anisotropic case. Velocity continuation describes how a seismic image changes given a change in migration velocity. This description turns out to be of a wave propagation process, in which images change along a velocity axis. In the anisotropic case, the velocity model is multiparameter. Therefore, anisotropic image propagation is multidimensional. We use a three-parameter slowness model, which is related to azimuthal variations in velocity, as well as their principal directions. This information is useful for fracture and reservoir characterization from seismic data. We provide synthetic diffraction imaging examples to illustrate the concept and potential applications of azimuthal velocity continuation and to analyze the impulse response of the 3D velocity continuation operator.