A Secondary Field Based hp-Finite Element Method for the Simulation of Magnetotelluric Measurements

In some geophysical problems, it is sometimes possible to divide the subsurface resistivity distribution as a one dimensional (1D) contribution plus some two dimensional (2D) inhomogeneities. Assuming this scenario, we split the electromagnetic fields into their primary and secondary components, the...

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Autores: Alvarez Aramberri, Julen, Pardo Zubiaur, David, Barucq, Helene
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:dnet:addi________::de590722468d421d1984a58be8eabeb6
Acceso en línea:http://hdl.handle.net/10810/78845
Access Level:acceso abierto
Palabra clave:quantities of interest
finite element method
secondary field formulation
magnetotelluric problem
marine CSEM
goal-oriented adaptivity
inverse problems
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spelling A Secondary Field Based hp-Finite Element Method for the Simulation of Magnetotelluric MeasurementsAlvarez Aramberri, JulenPardo Zubiaur, DavidBarucq, Helenequantities of interestfinite element methodsecondary field formulationmagnetotelluric problemmarine CSEMgoal-oriented adaptivityinverse problemsIn some geophysical problems, it is sometimes possible to divide the subsurface resistivity distribution as a one dimensional (1D) contribution plus some two dimensional (2D) inhomogeneities. Assuming this scenario, we split the electromagnetic fields into their primary and secondary components, the former corresponding to the 1D contribution, and the latter to the 2D inhomogeneities. While the primary field is solved via an analytical solution, for the secondary field we employ a multi-goal oriented self-adaptive hp-Finite Element Method (FEM). To truncate the computational domain, we design a Perfectly Matched Layer (PML) that automatically adapts to high-contrast materials that appear in the subsurface and in the air–ground interface. Numerical results illustrate the robustness of the proposed PML and the gains of the secondary field approach, where we obtain results with comparable accuracy than with a full field based formulation but with a much lower computational cost.Julen Alvarez-Aramberri and David Pardo were partially funded by the Project of the Spanish Ministry of Economy and Competitiveness with reference MTM2013-40824-P, the BCAM “Severo Ochoa” accreditation of excellence SEV-2013-0323, the CYTED 2011 project 712RT0449, and the Basque Government through the BERC 2014-2017 program and the Consolidated Research Group Grant IT649-13 on “Mathematical Modeling, Simulation, and Industrial Applications (M2SI)”. David Pardo has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 644602, by the RISE Horizon 2020 European Project GEAGAM (644602). Julen Alvarez-Aramberri was also partially funded by the University of the Basque Country UPV/EHU under the grant PIFG05/2011.ElsevierEuropean Commission202620262015info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/78845reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoInglésinfo:eu-repo/grantAgreement/EC/H2020/644602https://doi.org/10.1016/j.jocs.2015.02.005info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/© 2015 Elsevier under CC BY-NC-ND licenseoai:dnet:addi________::de590722468d421d1984a58be8eabeb62026-06-18T09:23:17Z
dc.title.none.fl_str_mv A Secondary Field Based hp-Finite Element Method for the Simulation of Magnetotelluric Measurements
title A Secondary Field Based hp-Finite Element Method for the Simulation of Magnetotelluric Measurements
spellingShingle A Secondary Field Based hp-Finite Element Method for the Simulation of Magnetotelluric Measurements
Alvarez Aramberri, Julen
quantities of interest
finite element method
secondary field formulation
magnetotelluric problem
marine CSEM
goal-oriented adaptivity
inverse problems
title_short A Secondary Field Based hp-Finite Element Method for the Simulation of Magnetotelluric Measurements
title_full A Secondary Field Based hp-Finite Element Method for the Simulation of Magnetotelluric Measurements
title_fullStr A Secondary Field Based hp-Finite Element Method for the Simulation of Magnetotelluric Measurements
title_full_unstemmed A Secondary Field Based hp-Finite Element Method for the Simulation of Magnetotelluric Measurements
title_sort A Secondary Field Based hp-Finite Element Method for the Simulation of Magnetotelluric Measurements
dc.creator.none.fl_str_mv Alvarez Aramberri, Julen
Pardo Zubiaur, David
Barucq, Helene
author Alvarez Aramberri, Julen
author_facet Alvarez Aramberri, Julen
Pardo Zubiaur, David
Barucq, Helene
author_role author
author2 Pardo Zubiaur, David
Barucq, Helene
author2_role author
author
dc.contributor.none.fl_str_mv European Commission
dc.subject.none.fl_str_mv quantities of interest
finite element method
secondary field formulation
magnetotelluric problem
marine CSEM
goal-oriented adaptivity
inverse problems
topic quantities of interest
finite element method
secondary field formulation
magnetotelluric problem
marine CSEM
goal-oriented adaptivity
inverse problems
description In some geophysical problems, it is sometimes possible to divide the subsurface resistivity distribution as a one dimensional (1D) contribution plus some two dimensional (2D) inhomogeneities. Assuming this scenario, we split the electromagnetic fields into their primary and secondary components, the former corresponding to the 1D contribution, and the latter to the 2D inhomogeneities. While the primary field is solved via an analytical solution, for the secondary field we employ a multi-goal oriented self-adaptive hp-Finite Element Method (FEM). To truncate the computational domain, we design a Perfectly Matched Layer (PML) that automatically adapts to high-contrast materials that appear in the subsurface and in the air–ground interface. Numerical results illustrate the robustness of the proposed PML and the gains of the secondary field approach, where we obtain results with comparable accuracy than with a full field based formulation but with a much lower computational cost.
publishDate 2015
dc.date.none.fl_str_mv 2015
2026
2026
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/78845
url http://hdl.handle.net/10810/78845
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/EC/H2020/644602
https://doi.org/10.1016/j.jocs.2015.02.005
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/4.0/
© 2015 Elsevier under CC BY-NC-ND license
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
© 2015 Elsevier under CC BY-NC-ND license
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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