The TTI slowness surface approximation

Handle URI:
http://hdl.handle.net/10754/575676
Title:
The TTI slowness surface approximation
Authors:
Stovas, A.; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
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.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Earth Science and Engineering Program
Publisher:
Society of Exploration Geophysicists
Journal:
SEG Technical Program Expanded Abstracts 2011
Issue Date:
Jan-2011
DOI:
10.1190/1.3627651
Type:
Article
ISSN:
10523812
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.accessioned2015-08-24T08:35:39Zen
dc.date.available2015-08-24T08:35:39Zen
dc.date.issued2011-01en
dc.identifier.issn10523812en
dc.identifier.doi10.1190/1.3627651en
dc.identifier.urihttp://hdl.handle.net/10754/575676en
dc.description.abstractThe 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.en
dc.publisherSociety of Exploration Geophysicistsen
dc.subjectAnisotropyen
dc.subjectMigrationen
dc.subjectTTIen
dc.subjectWave equationen
dc.titleThe TTI slowness surface approximationen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentEnvironmental Science and Engineering Programen
dc.contributor.departmentEarth Science and Engineering Programen
dc.identifier.journalSEG Technical Program Expanded Abstracts 2011en
dc.contributor.institutionNTNU, Norwayen
kaust.authorAlkhalifah, Tariq Alien
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