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dc.contributor.authorXu, Shibo
dc.contributor.authorStovas, Alexey
dc.contributor.authorAlkhalifah, Tariq Ali
dc.contributor.authorMikada, Hitoshi
dc.date.accessioned2021-02-16T13:17:45Z
dc.date.available2021-02-16T13:17:45Z
dc.date.issued2019-11-22
dc.date.submitted2019-02-14
dc.identifier.citationXu, S., Stovas, A., Alkhalifah, T., & Mikada, H. (2019). New acoustic approximation for transversely isotropic media with a vertical symmetry axis. GEOPHYSICS, 85(1), C1–C12. doi:10.1190/geo2019-0100.1
dc.identifier.issn0016-8033
dc.identifier.issn1942-2156
dc.identifier.doi10.1190/geo2019-0100.1
dc.identifier.urihttp://hdl.handle.net/10754/667463
dc.description.abstractSeismic data processing in the elastic anisotropic model is complicated due to multiparameter dependency. Approximations to the P-wave kinematics are necessary for practical purposes. The acoustic approximation for P-waves in a transversely isotropic medium with a vertical symmetry axis (VTI) simplifies the description of wave propagation in elastic media, and as a result, it is widely adopted in seismic data processing and analysis. However, finite-difference implementations of that approximation are plagued with S-wave artifacts. Specifically, the resulting wavefield also includes artificial diamond-shaped S-waves resulting in a redundant signal for many applications that require pure P-wave data. To derive a totally S-wave-free acoustic approximation, we have developed a new acoustic approximation for pure P-waves that is totally free of S-wave artifacts in the homogeneous VTI model. To keep the S-wave velocity equal to zero, we formulate the vertical S-wave velocity to be a function of the model parameters, rather than setting it to zero. Then, the corresponding P-wave phase and group velocities for the new acoustic approximation are derived. For this new acoustic approximation, the kinematics is described by a new eikonal equation for pure P-wave propagation, which defines the new vertical slowness for the P-waves. The corresponding perturbation-based approximation for our new eikonal equation is used to compare the new equation with the original acoustic eikonal. The accuracy of our new P-wave acoustic approximation is tested on numerical examples for homogeneous and multilayered VTI models. We find that the accuracy of our new acoustic approximation is as good as the original one for the phase velocity, group velocity, and the kinematic parameters such as vertical slowness, traveltime, and relative geometric spreading. Therefore, the S-wave-free acoustic approximation could be further applied in seismic processing that requires pure P-wave data.
dc.description.sponsorshipWe would like to thank editor J. Shragge, associate editor S. Hestholm; reviewers I. Ravve, P. Golikov, U. Waheed; and three anonymous reviewers for their comments and helpful suggestions.
dc.publisherSociety of Exploration Geophysicists
dc.relation.urlhttp://mr.crossref.org/iPage?doi=10.1190%2Fgeo2019-0100.1
dc.rightsArchived with thanks to GEOPHYSICS
dc.titleNew acoustic approximation for transversely isotropic media with a vertical symmetry axis
dc.typeArticle
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.contributor.departmentSeismic Wave Analysis Group
dc.identifier.journalGEOPHYSICS
dc.eprint.versionPost-print
dc.contributor.institutionKyoto University, Department of Civil and Earth Resources Engineering, C1-1-111 Kyotodaigaku-Katsura, Nishikyo-ku, Kyoto, Japan.(corresponding author); .
dc.contributor.institutionNorwegian University of Science and Technology, Department of Geoscience and Petroleum, S.P. Andersens veg 15a, NO-7491 Trondheim, Norway..
dc.identifier.volume85
dc.identifier.issue1
dc.identifier.pagesC1-C12
kaust.personAlkhalifah, Tariq Ali
dc.date.accepted2019-09-07
dc.identifier.eid2-s2.0-85085960622
refterms.dateFOA2021-02-17T13:27:26Z


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