An acoustic eikonal equation for attenuating orthorhombic media

Handle URI:
http://hdl.handle.net/10754/623258
Title:
An acoustic eikonal equation for attenuating orthorhombic media
Authors:
Hao, Qi; Alkhalifah, Tariq Ali ( 0000-0002-9363-9799 )
Abstract:
Attenuating orthorhombic models are often used to describe the azimuthal variation of the seismic wave velocity and amplitude in finely layered hydrocarbon reservoirs with vertical fractures. In addition to the P-wave related medium parameters, shear wave parameters are also present in the complex eikonal equation needed to describe the P-wave complex-valued traveltime in an attenuating orthorhombic medium, which increases the complexity of using the P-wave traveltime to invert for the medium parameters in practice. Here, we use the acoustic assumption to derive an acoustic eikonal equation that approximately governs the complex-valued traveltime of P-waves in an attenuating orthorhombic medium. For a homogeneous attenuating orthorhombic media, we solve the eikonal equation using a combination of the perturbation method and Shanks transform. For a horizontal attenuating orthorhombic layer, both the real and imaginary part of the complex-valued reflection traveltime have nonhyperbolic behaviors in terms of the source-receiver offset. Similar to the roles of normal moveout (NMO) velocity and anellipticity, the attenuation NMO velocity and the attenuation anellipticity characterize the variation of the imaginary part of the complex-valued reflection traveltime around zero source-receiver offset.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Hao Q, Alkhalifah T (2017) An acoustic eikonal equation for attenuating orthorhombic media. GEOPHYSICS: 1–96. Available: http://dx.doi.org/10.1190/geo2016-0632.1.
Publisher:
Society of Exploration Geophysicists
Journal:
GEOPHYSICS
Issue Date:
6-Apr-2017
DOI:
10.1190/geo2016-0632.1
Type:
Article
ISSN:
0016-8033; 1942-2156
Sponsors:
Q. Hao thanks the rock and seismic (ROSE) project for its support, and I. Pšenčík for valuable communication on seismic wave attenuation after the 17th International Workshop on Seismic Anisotropy held in Austin. T. Alkhalifah thanks KAUST for its support. We thank the associate editor Igor Ravve, Yanadet Sripanich and two anonymous reviewers for their critical reviews of the manuscript.
Additional Links:
http://library.seg.org/doi/10.1190/geo2016-0632.1
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorHao, Qien
dc.contributor.authorAlkhalifah, Tariq Alien
dc.date.accessioned2017-04-20T08:08:15Z-
dc.date.available2017-04-20T08:08:15Z-
dc.date.issued2017-04-06en
dc.identifier.citationHao Q, Alkhalifah T (2017) An acoustic eikonal equation for attenuating orthorhombic media. GEOPHYSICS: 1–96. Available: http://dx.doi.org/10.1190/geo2016-0632.1.en
dc.identifier.issn0016-8033en
dc.identifier.issn1942-2156en
dc.identifier.doi10.1190/geo2016-0632.1en
dc.identifier.urihttp://hdl.handle.net/10754/623258-
dc.description.abstractAttenuating orthorhombic models are often used to describe the azimuthal variation of the seismic wave velocity and amplitude in finely layered hydrocarbon reservoirs with vertical fractures. In addition to the P-wave related medium parameters, shear wave parameters are also present in the complex eikonal equation needed to describe the P-wave complex-valued traveltime in an attenuating orthorhombic medium, which increases the complexity of using the P-wave traveltime to invert for the medium parameters in practice. Here, we use the acoustic assumption to derive an acoustic eikonal equation that approximately governs the complex-valued traveltime of P-waves in an attenuating orthorhombic medium. For a homogeneous attenuating orthorhombic media, we solve the eikonal equation using a combination of the perturbation method and Shanks transform. For a horizontal attenuating orthorhombic layer, both the real and imaginary part of the complex-valued reflection traveltime have nonhyperbolic behaviors in terms of the source-receiver offset. Similar to the roles of normal moveout (NMO) velocity and anellipticity, the attenuation NMO velocity and the attenuation anellipticity characterize the variation of the imaginary part of the complex-valued reflection traveltime around zero source-receiver offset.en
dc.description.sponsorshipQ. Hao thanks the rock and seismic (ROSE) project for its support, and I. Pšenčík for valuable communication on seismic wave attenuation after the 17th International Workshop on Seismic Anisotropy held in Austin. T. Alkhalifah thanks KAUST for its support. We thank the associate editor Igor Ravve, Yanadet Sripanich and two anonymous reviewers for their critical reviews of the manuscript.en
dc.publisherSociety of Exploration Geophysicistsen
dc.relation.urlhttp://library.seg.org/doi/10.1190/geo2016-0632.1en
dc.rightsArchived with thanks to GEOPHYSICSen
dc.titleAn acoustic eikonal equation for attenuating orthorhombic mediaen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalGEOPHYSICSen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionNorwegian University of Science and Technology (NTNU), Department of Petroleum Engineering and Applied Geophysics, S.P. Andersensvei 15A, 7491 Trondheim, Norway..en
kaust.authorAlkhalifah, Tariq Alien
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