On the elastic wave equation in weakly anisotropic VTI media

dc.creatorBloot, R
dc.creatorSchleicher, J
dc.creatorSantos, LT
dc.date2013
dc.dateMAR
dc.date2014-07-30T17:52:57Z
dc.date2015-11-26T16:45:19Z
dc.date2014-07-30T17:52:57Z
dc.date2015-11-26T16:45:19Z
dc.date.accessioned2018-03-28T23:30:53Z
dc.date.available2018-03-28T23:30:53Z
dc.identifierGeophysical Journal International. Oxford Univ Press, v. 192, n. 3, n. 1144, n. 1155, 2013.
dc.identifier0956-540X
dc.identifierWOS:000315051300022
dc.identifier10.1093/gji/ggs066
dc.identifierhttp://www.repositorio.unicamp.br/jspui/handle/REPOSIP/68653
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/68653
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1274180
dc.descriptionThe knowledge of the wave equation is of fundamental importance for a good and satisfying understanding of the phenomena of wave propagation. However, it is unsatisfactory and inefficient to work with the full anisotropic wave equation in media that exhibit certain symmetries. We derive a specific elastic wave equation for weakly anisotropic VTI media by linearizing the expression of the stiffness tensor in terms of the Thomsen parameters. The resulting wave equation is a system of three coupled differential equations for the three components of the displacement vector. For delta = 0, the third equation becomes an independent equation for the third component of the particle displacement, identical to the isotropic situation, and the first two equations remain coupled. Using zero-order ray theory, we derive the associated eikonal and transport equations for q-P, q-SV and q-SH waves. These are finally reduced to the pseudo-acoustic case where the vertical S-wave velocity is zero. This allows for a better understanding of the pseudo-S-wave artefact in such media.
dc.description192
dc.description3
dc.description1144
dc.description1155
dc.descriptionWave Inversion Technology (WIT) Consortium
dc.languageen
dc.publisherOxford Univ Press
dc.publisherOxford
dc.publisherInglaterra
dc.relationGeophysical Journal International
dc.relationGeophys. J. Int.
dc.rightsaberto
dc.rightshttp://www.oxfordjournals.org/access_purchase/self-archiving_policyb.html
dc.sourceWeb of Science
dc.subjectBody waves
dc.subjectSeismic anisotropy
dc.subjectWave propagation
dc.subjectAcoustic properties
dc.subjectTransversely Isotropic Media
dc.subjectAcoustic Vti
dc.subjectMigration
dc.subjectVelocity
dc.subjectSystems
dc.titleOn the elastic wave equation in weakly anisotropic VTI media
dc.typeArtículos de revistas


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