Traveltime approximations for inhomogeneous transversely isotropic media with a horizontal symmetry axis

Handle URI:
http://hdl.handle.net/10754/575559
Title:
Traveltime approximations for inhomogeneous transversely isotropic media with a horizontal symmetry axis
Authors:
Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
Traveltime information is crucial for parameter estimation, especially if the medium is described by a set of anisotropy parameters. We can efficiently estimate these parameters if we are able to relate them analytically to traveltimes, which is generally hard to do in inhomogeneous media. I develop traveltime approximations for transversely isotropic media with a horizontal symmetry axis (HTI) as simplified and even linear functions of the anisotropy parameters. This is accomplished by perturbing the solution of the HTI eikonal equation with respect to the anellipticity parameter, η and the azimuth of the symmetry axis (typically associated with the fracture direction) from a generally inhomogeneous, elliptically anisotropic background medium. Such a perturbation is convenient since the elliptically anisotropic information might be obtained from well velocities in HTI media. Thus, we scan for only η and the symmetry-axis azimuth. The resulting approximations can provide a reasonably accurate analytical description of the traveltime in a homogenous background compared to other published moveout equations. They also help extend the inhomogenous background isotropic or elliptically anisotropic models to an HTI one with a smoothly variable η and symmetry-axis azimuth. © 2012 European Association of Geoscientists & Engineers.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Environmental Science and Engineering Program; Earth Science and Engineering Program
Publisher:
Wiley-Blackwell
Journal:
Geophysical Prospecting
Issue Date:
30-Apr-2012
DOI:
10.1111/j.1365-2478.2012.01067.x
Type:
Article
ISSN:
00168025
Sponsors:
I am grateful to KAUST for its financial support. I thank Ilya Tsvankin and Alexey Stovas for their critical review of the paper and helpful suggestions.
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.authorAlkhalifah, Tariq Alien
dc.date.accessioned2015-08-24T08:32:51Zen
dc.date.available2015-08-24T08:32:51Zen
dc.date.issued2012-04-30en
dc.identifier.issn00168025en
dc.identifier.doi10.1111/j.1365-2478.2012.01067.xen
dc.identifier.urihttp://hdl.handle.net/10754/575559en
dc.description.abstractTraveltime information is crucial for parameter estimation, especially if the medium is described by a set of anisotropy parameters. We can efficiently estimate these parameters if we are able to relate them analytically to traveltimes, which is generally hard to do in inhomogeneous media. I develop traveltime approximations for transversely isotropic media with a horizontal symmetry axis (HTI) as simplified and even linear functions of the anisotropy parameters. This is accomplished by perturbing the solution of the HTI eikonal equation with respect to the anellipticity parameter, η and the azimuth of the symmetry axis (typically associated with the fracture direction) from a generally inhomogeneous, elliptically anisotropic background medium. Such a perturbation is convenient since the elliptically anisotropic information might be obtained from well velocities in HTI media. Thus, we scan for only η and the symmetry-axis azimuth. The resulting approximations can provide a reasonably accurate analytical description of the traveltime in a homogenous background compared to other published moveout equations. They also help extend the inhomogenous background isotropic or elliptically anisotropic models to an HTI one with a smoothly variable η and symmetry-axis azimuth. © 2012 European Association of Geoscientists & Engineers.en
dc.description.sponsorshipI am grateful to KAUST for its financial support. I thank Ilya Tsvankin and Alexey Stovas for their critical review of the paper and helpful suggestions.en
dc.publisherWiley-Blackwellen
dc.subjectAzimuthen
dc.subjectHTI mediaen
dc.subjectIsotropicen
dc.titleTraveltime approximations for inhomogeneous transversely isotropic media with a horizontal symmetry axisen
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.journalGeophysical Prospectingen
kaust.authorAlkhalifah, Tariq Alien
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