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
2012-05-25Online Publication Date
2012-05-25Print Publication Date
2011-01Permanent link to this record
http://hdl.handle.net/10754/575676
Metadata
Show full item recordAbstract
The relation between the vertical and horizontal slownesses, better known as the dispersion relation, for a transversely isotropic media with titled symmetry axis {left parenthesis, less than bracket}TTI{right parenthesis, greater than bracket} requires solving a quartic polynomial, which does not admit a practical explicit solution to be used, for example, in downward continuation. Using a combination of 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 dispersion relation 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 small tilt in the symmetry angle. © 2011 Society of Exploration Geophysicists.Publisher
Society of Exploration Geophysicistsae974a485f413a2113503eed53cd6c53
10.1190/1.3627651