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dc.contributor.authorHuang, Xingguo
dc.contributor.authorSun, Hui
dc.contributor.authorSun, Zhangqing
dc.contributor.authorda Silva, Nuno
dc.date.accessioned2020-04-14T11:16:41Z
dc.date.available2020-04-14T11:16:41Z
dc.date.issued2020-03-11
dc.identifier.citationHuang X, Sun H, Sun Z, da Silva. A complex point-source solution of the acoustic eikonal equation for Gaussian beams in transversely isotropic media. Geophysics. 2020:1-65.eng
dc.identifier.urihttp://hdl.handle.net/1956/21849
dc.description.abstractThe complex traveltime solutions of the complex eikonal equation are the basis of inhomogeneous plane-wave seismic imaging methods, such as Gaussian beam migration and tomography. We present the analytic approximations for complex traveltime in transversely isotropic media with a titled symmetry axis (TTI), which is defined by a Taylor series expansion over the anisotropy parameters. The formulation for complex traveltime is developed using perturbation theory and the complex point source method. The real part of the complex traveltime describes the wavefront and the imaginary part of the complex traveltime describes the decay of amplitude of waves away from the central ray. We derive the linearized ordinary differential equations for the coefficients of the Taylor-series expansion 2 using perturbation theory. The analytical solutions for the complex traveltimes are determined by applying the complex point source method to the background traveltime formula and subsequently obtaining the coefficients from the linearized ordinary differential equations. We investigate the influence of the anisotropy parameters and of the initial width of the ray tube on the accuracy of the computed traveltimes. The analytical formulas, as outlined, are efficient methods for the computation of complex traveltimes from the complex eikonal equation. In addition, those formulas are also effective methods for benchmarking approximated solutions.eng
dc.language.isoengeng
dc.publisherSociety of Exploration Geophysicistseng
dc.titleA complex point-source solution of the acoustic eikonal equation for Gaussian beams in transversely isotropic mediaeng
dc.typeJournal articleeng
dc.date.updated2020-02-12T08:42:37Z
dc.rights.holderCopyright 2020 SEGeng
dc.type.versionacceptedVersioneng
bora.peerreviewedPeer reviewedeng
dc.type.documentJournal article
dc.identifier.cristinID1735286
dc.identifier.doi10.1190/geo2019-0264.1eng
dc.source.issn0016-8033eng
dc.source.issn1942-2156eng
dc.relation.journalGeophysics


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