An Approximate Method for the Acoustic Attenuating VTI Eikonal Equation

Q. Hao; Tariq Ali Alkhalifah

doi:10.3997/2214-4609.201701257

An Approximate Method for the Acoustic Attenuating VTI Eikonal Equation

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We present an approximate method to solve the acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis (VTI). A perturbation method is used to derive the perturbation formula 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 solution is valid for homogeneous VTI media with moderate anellipticity and strong attenuation and attenuation-anisotropy. The numerical solution is applicable for inhomogeneous attenuating VTI media.

Original language	English (US)
Title of host publication	79th EAGE Conference and Exhibition 2017
Publisher	EAGE Publications
ISBN (Print)	9789462822177
DOIs	https://doi.org/10.3997/2214-4609.201701257
State	Published - May 26 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: Q. Hao thanks rock and seismic (ROSE) project for support.

Access to Document

10.3997/2214-4609.201701257

https://repository.kaust.edu.sa/bitstream/10754/624898/1/We%20B4%2008.pdf

Cite this

@inproceedings{1747b2d172db4512a2d3979281a3716e,

title = "An Approximate Method for the Acoustic Attenuating VTI Eikonal Equation",

abstract = "We present an approximate method to solve the acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis (VTI). A perturbation method is used to derive the perturbation formula 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 solution is valid for homogeneous VTI media with moderate anellipticity and strong attenuation and attenuation-anisotropy. The numerical solution is applicable for inhomogeneous attenuating VTI media.",

author = "Q. Hao and Alkhalifah, {Tariq Ali}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: Q. Hao thanks rock and seismic (ROSE) project for support.",

year = "2017",

month = may,

day = "26",

doi = "10.3997/2214-4609.201701257",

language = "English (US)",

isbn = "9789462822177",

booktitle = "79th EAGE Conference and Exhibition 2017",

publisher = "EAGE Publications",

}

TY - GEN

T1 - An Approximate Method for the Acoustic Attenuating VTI Eikonal Equation

AU - Hao, Q.

AU - Alkhalifah, Tariq Ali

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: Q. Hao thanks rock and seismic (ROSE) project for support.

PY - 2017/5/26

Y1 - 2017/5/26

N2 - We present an approximate method to solve the acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis (VTI). A perturbation method is used to derive the perturbation formula 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 solution is valid for homogeneous VTI media with moderate anellipticity and strong attenuation and attenuation-anisotropy. The numerical solution is applicable for inhomogeneous attenuating VTI media.

AB - We present an approximate method to solve the acoustic eikonal equation for attenuating transversely isotropic media with a vertical symmetry axis (VTI). A perturbation method is used to derive the perturbation formula 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 solution is valid for homogeneous VTI media with moderate anellipticity and strong attenuation and attenuation-anisotropy. The numerical solution is applicable for inhomogeneous attenuating VTI media.

UR - http://hdl.handle.net/10754/624898

UR - http://www.earthdoc.org/publication/publicationdetails/?publication=88973

UR - http://www.scopus.com/inward/record.url?scp=85087228742&partnerID=8YFLogxK

U2 - 10.3997/2214-4609.201701257

DO - 10.3997/2214-4609.201701257

M3 - Conference contribution

SN - 9789462822177

BT - 79th EAGE Conference and Exhibition 2017

PB - EAGE Publications

ER -

An Approximate Method for the Acoustic Attenuating VTI Eikonal Equation

Abstract

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this