Analysis of the stability and dispersion for a Riemannian acoustic wave equation

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dc.citation.journalTitleAPPLIED MATHEMATICS AND COMPUTATION
dc.contributor.authorQuiceno, H. R.
dc.contributor.authorArias, C.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupMatemáticas y Aplicacionesspa
dc.creatorQuiceno, H. R.
dc.creatorArias, C.
dc.date.accessioned2021-04-12T14:04:23Z
dc.date.available2021-04-12T14:04:23Z
dc.date.issued2019-01-15
dc.description.abstractThe construction of images of the Earth's interior using methods as reverse time migration (RTM) or full wave inversion (FWI) strongly depends on the numerical solution of the wave equation. A mathematical expression of the numerical stability and dispersion for a particular wave equation used must be known in order to avoid unbounded numbers of amplitudes. In case of the acoustic wave equation, the Courant–Friedrich–Lewy (CFL) condition is a necessary but is not a sufficient condition for convergence. Thus, we need to search other types of expression for stability condition. In seismic wave problems, the generalized Riemannian wave equation is used to model their propagation in domains with curved meshes which is suitable for zones with rugged topography. However, only a heuristic version of stability condition was reported in the literature for this equation. We derived an expression for stability condition and numerical dispersion analysis for the Riemannian acoustic wave equation in a two-dimensional medium and analyzed its implications in terms of computational cost. © 2018 Elsevier Inc.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=8333
dc.identifier.doi10.1016/j.amc.2018.08.047
dc.identifier.issn00963003
dc.identifier.issn18735649
dc.identifier.otherWOS;000446451300019
dc.identifier.otherSCOPUS;2-s2.0-85053778195
dc.identifier.urihttp://hdl.handle.net/10784/27718
dc.language.isoengeng
dc.publisherELSEVIER SCIENCE INC
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85053778195&doi=10.1016%2fj.amc.2018.08.047&partnerID=40&md5=83d6d6bdaebc815eb80d450c001b4e65
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0096-3003
dc.sourceAPPLIED MATHEMATICS AND COMPUTATION
dc.subjectAcoustic wave propagationeng
dc.subjectAcoustic waveseng
dc.subjectAcousticseng
dc.subjectDispersion (waves)eng
dc.subjectFinite difference methodeng
dc.subjectNumerical methodseng
dc.subjectSeismic prospectingeng
dc.subjectWave equationseng
dc.subjectComputational costseng
dc.subjectFinite difference schemeeng
dc.subjectMathematical expressionseng
dc.subjectNeumanneng
dc.subjectNumerical dispersionseng
dc.subjectNumerical solutioneng
dc.subjectReverse time migrationseng
dc.subjectStability conditioneng
dc.subjectStability criteriaeng
dc.titleAnalysis of the stability and dispersion for a Riemannian acoustic wave equationeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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