Acoustic eikonal solutions for attenuating VTI media

Qi Hao; Tariq Alkhalifah

doi:10.1190/segam2017-17661832.1

Acoustic eikonal solutions for attenuating VTI media

Qi Hao, Tariq Alkhalifah

Research output: Contribution to conference › Paper › peer-review

5 Scopus citations

Abstract

We present two approximate methods to solve the acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis (VTI). Perturbation theory is utilized to derive the perturbation equations for complex-valued traveltimes. The application of Shanks transform further enhances the accuracy of approximation. We derive both analytical and numerical solutions to the acoustic eikonal equation. The analytic solutions from the two methods are valid for homogeneous VTI media with moderate anellipticity and strong attenuation and attenuation-anisotropy. The numerical solutions are applicable for inhomogeneous attenuating VTI media.

Original language	English (US)
Pages	289-293
Number of pages	5
DOIs	https://doi.org/10.1190/segam2017-17661832.1
State	Published - Aug 17 2017
Event	Society of Exploration Geophysicists International Exposition and 87th Annual Meeting, SEG 2017 - Houston, United States Duration: Sep 24 2017 → Sep 29 2017

Conference

Conference	Society of Exploration Geophysicists International Exposition and 87th Annual Meeting, SEG 2017
Country/Territory	United States
City	Houston
Period	09/24/17 → 09/29/17

Bibliographical note

Publisher Copyright:
© 2017 SEG.

ASJC Scopus subject areas

Geotechnical Engineering and Engineering Geology
Geophysics

Access to Document

10.1190/segam2017-17661832.1

Cite this

@conference{3ae8e6a72b5d40f484febb93a24f80a0,

title = "Acoustic eikonal solutions for attenuating VTI media",

abstract = "We present two approximate methods to solve the acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis (VTI). Perturbation theory is utilized to derive the perturbation equations for complex-valued traveltimes. The application of Shanks transform further enhances the accuracy of approximation. We derive both analytical and numerical solutions to the acoustic eikonal equation. The analytic solutions from the two methods are valid for homogeneous VTI media with moderate anellipticity and strong attenuation and attenuation-anisotropy. The numerical solutions are applicable for inhomogeneous attenuating VTI media.",

author = "Qi Hao and Tariq Alkhalifah",

note = "Publisher Copyright: {\textcopyright} 2017 SEG.; Society of Exploration Geophysicists International Exposition and 87th Annual Meeting, SEG 2017 ; Conference date: 24-09-2017 Through 29-09-2017",

year = "2017",

month = aug,

day = "17",

doi = "10.1190/segam2017-17661832.1",

language = "English (US)",

pages = "289--293",

}

TY - CONF

T1 - Acoustic eikonal solutions for attenuating VTI media

AU - Hao, Qi

AU - Alkhalifah, Tariq

PY - 2017/8/17

Y1 - 2017/8/17

N2 - We present two approximate methods to solve the acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis (VTI). Perturbation theory is utilized to derive the perturbation equations for complex-valued traveltimes. The application of Shanks transform further enhances the accuracy of approximation. We derive both analytical and numerical solutions to the acoustic eikonal equation. The analytic solutions from the two methods are valid for homogeneous VTI media with moderate anellipticity and strong attenuation and attenuation-anisotropy. The numerical solutions are applicable for inhomogeneous attenuating VTI media.

AB - We present two approximate methods to solve the acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis (VTI). Perturbation theory is utilized to derive the perturbation equations for complex-valued traveltimes. The application of Shanks transform further enhances the accuracy of approximation. We derive both analytical and numerical solutions to the acoustic eikonal equation. The analytic solutions from the two methods are valid for homogeneous VTI media with moderate anellipticity and strong attenuation and attenuation-anisotropy. The numerical solutions are applicable for inhomogeneous attenuating VTI media.

UR - http://www.scopus.com/inward/record.url?scp=85059409348&partnerID=8YFLogxK

U2 - 10.1190/segam2017-17661832.1

DO - 10.1190/segam2017-17661832.1

M3 - Paper

AN - SCOPUS:85059409348

SP - 289

EP - 293

T2 - Society of Exploration Geophysicists International Exposition and 87th Annual Meeting, SEG 2017

Y2 - 24 September 2017 through 29 September 2017

ER -

Acoustic eikonal solutions for attenuating VTI media

Abstract

Conference

Bibliographical note

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this