dc.contributor.author Brevis I. en_US dc.contributor.author Rodríguez-Rosas A. en_US dc.contributor.author Ortega J. H. en_US dc.contributor.author Pardo D. en_US dc.date.accessioned 2018-12-17T15:35:45Z dc.date.available 2018-12-17T15:35:45Z dc.date.issued 2018 dc.identifier.issn 0898-1221 dc.identifier.uri http://hdl.handle.net/20.500.11824/902 dc.description.abstract We 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 results en_US dc.description.sponsorship This 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.format application/pdf en_US dc.language.iso eng en_US dc.publisher Computers & Mathematics with Applications en_US dc.relation info:eu-repo/grantAgreement/EC/H2020/644202 en_US dc.relation info:eu-repo/grantAgreement/EC/H2020/777778 en_US dc.relation ES/1PE/SEV-2017-0718 en_US dc.relation ES/1PE/MTM2016-76329-R en_US dc.relation ES/1PE/MTM2016-81697-ERC en_US dc.relation EUS/BERC/BERC.2018-2021 en_US dc.rights info:eu-repo/semantics/openAccess en_US dc.rights.uri http://creativecommons.org/licenses/by-nc-sa/3.0/es/ en_US dc.subject Source time reversal en_US dc.subject Time-reversal mirror en_US dc.subject Linear elasticity en_US dc.subject Induced seismicity en_US dc.subject Inverse problems en_US dc.title Source time reversal (STR) method for linear elasticity en_US dc.type info:eu-repo/semantics/article en_US dc.type info:eu-repo/semantics/publishedVersion en_US dc.identifier.doi https://doi.org/10.1016/j.camwa.2018.11.015 dc.relation.publisherversion https://www.sciencedirect.com/science/article/pii/S0898122118306680 en_US
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