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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.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.urihttps://hdl.handle.net/10784/27718
dc.language.isoeng
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.subject.keywordAcoustic wave propagationeng
dc.subject.keywordAcoustic waveseng
dc.subject.keywordAcousticseng
dc.subject.keywordDispersion (waves)eng
dc.subject.keywordFinite difference methodeng
dc.subject.keywordNumerical methodseng
dc.subject.keywordSeismic prospectingeng
dc.subject.keywordWave equationseng
dc.subject.keywordComputational costseng
dc.subject.keywordFinite difference schemeeng
dc.subject.keywordMathematical expressionseng
dc.subject.keywordNeumanneng
dc.subject.keywordNumerical dispersionseng
dc.subject.keywordNumerical solutioneng
dc.subject.keywordReverse time migrationseng
dc.subject.keywordStability conditioneng
dc.subject.keywordStability criteriaeng
dc.titleAnalysis of the stability and dispersion for a Riemannian acoustic wave equation
dc.typeinfo:eu-repo/semantics/article
dc.type.coarversionhttp://purl.org/coar/resource_type/c_6501
dc.type.localArtículospa
dc.type.redcolhttp://purl.org/redcol/resource_type/ARTREF
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication

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