A tilted transversely isotropic slowness surface approximation

Handle URI:
http://hdl.handle.net/10754/562186
Title:
A tilted transversely isotropic slowness surface approximation
Authors:
Stovas, A.; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
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.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program; Environmental Science and Engineering Program
Publisher:
Wiley-Blackwell
Journal:
Geophysical Prospecting
Issue Date:
9-May-2012
DOI:
10.1111/j.1365-2478.2012.01078.x
Type:
Article
ISSN:
00168025
Sponsors:
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.
Appears in Collections:
Articles; Environmental Science and Engineering Program; Physical Sciences and Engineering (PSE) Division; Earth Science and Engineering Program

Full metadata record

DC FieldValue Language
dc.contributor.authorStovas, A.en
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2015-08-03T09:46:47Zen
dc.date.available2015-08-03T09:46:47Zen
dc.date.issued2012-05-09en
dc.identifier.issn00168025en
dc.identifier.doi10.1111/j.1365-2478.2012.01078.xen
dc.identifier.urihttp://hdl.handle.net/10754/562186en
dc.description.abstractThe 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.en
dc.description.sponsorshipAlexey 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.en
dc.publisherWiley-Blackwellen
dc.subjectAnellipticalen
dc.subjectAnisotropyen
dc.subjectMediaen
dc.titleA tilted transversely isotropic slowness surface approximationen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEarth Science and Engineering Programen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.identifier.journalGeophysical Prospectingen
dc.contributor.institutionNorwegian University of Science and Technology (NTNU), Department of Petroleum Engineering and Applied Geophysics, S.P.Andersensvei 15A, 7491 Trondheim, Norwayen
kaust.authorAlkhalifah, Tariq Alien
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