Type
ArticleAuthors
Stovas, A.Alkhalifah, Tariq Ali

KAUST Department
Earth Science and Engineering ProgramEnvironmental Science and Engineering Program
Physical Science and Engineering (PSE) Division
Seismic Wave Analysis Group
Date
2012-05-09Online Publication Date
2012-05-09Print Publication Date
2013-05Permanent link to this record
http://hdl.handle.net/10754/562186
Metadata
Show full item recordAbstract
The relation between vertical and horizontal slownesses, better known as the dispersion relation, for transversely isotropic media with a tilted symmetry axis (TTI) requires solving a quartic polynomial equation, which does not admit a practical explicit solution to be used, for example, in downward continuation. Using a combination of the perturbation theory with respect to the anelliptic parameter and Shanks transform to improve the accuracy of the expansion, we develop an explicit formula for the vertical slowness that is highly accurate for all practical purposes. It also reveals some insights into the anisotropy parameter dependency of the dispersion relation including the low impact that the anelliptic parameter has on the vertical placement of reflectors for a small tilt in the symmetry angle. © 2012 European Association of Geoscientists & Engineers.Citation
Stovas, A., & Alkhalifah, T. (2012). A tilted transversely isotropic slowness surface approximation. Geophysical Prospecting, 61(3), 568–573. doi:10.1111/j.1365-2478.2012.01078.xSponsors
Alexey Stovas would like to acknowledge the ROSE project for financial support. Tariq Alkhalifah would like to thank KAUST for its financial support. We would also like to acknowledge Ivan Psencik and anonymous reviewers for very instructive comments.Publisher
WileyJournal
Geophysical Prospectingae974a485f413a2113503eed53cd6c53
10.1111/j.1365-2478.2012.01078.x