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dc.contributor.authorChaumont-Frelet, T.
dc.contributor.authorShahriari, M.
dc.contributor.authorPardo, D. 
dc.date.accessioned2019-04-02T13:12:59Z
dc.date.available2019-04-02T13:12:59Z
dc.date.issued2019-02
dc.identifier.issn1420-0597
dc.identifier.urihttp://hdl.handle.net/20.500.11824/963
dc.description.abstractIn inverse geophysical resistivity problems, it is common to optimize for specific resistivity values and bed boundary positions, as needed, for example, in geosteering applications. When using gradient-based inversion methods such as Gauss-Newton, we need to estimate the derivatives of the recorded measurements with respect to the inversion parameters. In this article, we describe an adjoint-based formulation for computing the derivatives of the electromagnetic fields withrespect to the bed boundary positions. The key idea to obtain this adjoint-based formulation is to separate the tangential and normal components of the field, and treat them differently. We then apply this method to a 1.5D borehole resistivity problem. We illustrate its accuracy and some of its convergence properties via numerical experimentation by comparing the results obtained with our proposed adjoint-based method vs. both the analytical results when available and a finite differences approximation of the derivative.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectresistivity inversionen_US
dc.subjectadjoint stateen_US
dc.subjectelectromagneticen_US
dc.subjectborehole geophysicsen_US
dc.subjectMaxwell's equationsen_US
dc.titleAdjoint-based formulation for computing derivatives with respect to bed boundary positions in resistivity geophysicsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1007/s10596-019-9808-2
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s10596-019-9808-2en_US
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/H2020/777778en_US
dc.relation.projectIDES/1PE/SEV-2017-0718en_US
dc.relation.projectIDES/1PE/MTM2016-76329-Ren_US
dc.relation.projectIDEUS/BERC/BERC.2018-2021en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleComputational Geosciencesen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España