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dc.contributor.authorBrevis I.en_US
dc.contributor.authorRodríguez-Rosas A.en_US
dc.contributor.authorOrtega J. H.en_US
dc.contributor.authorPardo D.en_US
dc.date.accessioned2018-12-17T15:35:45Z
dc.date.available2018-12-17T15:35:45Z
dc.date.issued2018
dc.identifier.issn0898-1221
dc.identifier.urihttp://hdl.handle.net/20.500.11824/902
dc.description.abstractWe study the problem of source reconstruction for a linear elasticity problem applied to seismicity induced by mining. We assume the source is written as a variable separable function $\mathbf{f(x)}\>g(t)$ . We first present a simple proof a local decay result for elasticity in the case of homogeneous media. We then extend the source time reversal method, originally developed for acoustic waves, to an elastic system of waves. Additionally, we present a fast reconstruction implementation for large data sets. This is especially useful in the elastic case, in which the numerical cost is higher than in fluid acoustics. We complement this work with several 2D and 3D numerical experiments and an analysis of the resultsen_US
dc.description.sponsorshipThis work was partially supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant No 644602 GEAGAM (Spain) and CONICYT, Chile - PIA/Concurso de Apoyo a Centros Científicos y Tecnológicos de Excelencia con Financiamiento Basal AFB170001. Additionally, the first author was supported by CONICYT Doctoral fellowship number (Chile), Fondecyt11161033 (Chile), ICMP09-015-F (Chile), and EQM140119. Jaime H. Ortega was partially supported by Fondecyt1111012 and 1171854 (Chile). Ángel Rodríguez-Rozas and David Pardo were partially funded by the Projects of the Spanish Ministry of Economy and Competitiveness with reference MTM2016-76329-R (AEI/FEDER, EU) and MTM2016-81697-ERC/AEI, the BCAM “Severo Ochoa” accreditation of excellence SEV-2017-0718, the Basque Government through the BERC 2018-2021 program, the Consolidated Research Group Grant IT649-13 on “Mathematical Modeling, Simulation, and Industrial Applications (M2SI)”. David Pardo has also received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 777778.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.publisherComputers & Mathematics with Applicationsen_US
dc.relationinfo:eu-repo/grantAgreement/EC/H2020/644202en_US
dc.relationinfo:eu-repo/grantAgreement/EC/H2020/777778en_US
dc.relationES/1PE/SEV-2017-0718en_US
dc.relationES/1PE/MTM2016-76329-Ren_US
dc.relationES/1PE/MTM2016-81697-ERCen_US
dc.relationEUS/BERC/BERC.2018-2021en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectSource time reversalen_US
dc.subjectTime-reversal mirroren_US
dc.subjectLinear elasticityen_US
dc.subjectInduced seismicityen_US
dc.subjectInverse problemsen_US
dc.titleSource time reversal (STR) method for linear elasticityen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeinfo:eu-repo/semantics/publishedVersionen_US
dc.identifier.doihttps://doi.org/10.1016/j.camwa.2018.11.015
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0898122118306680en_US


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