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Article: New correction to the Born approximation

TitleNew correction to the Born approximation
Authors
Issue Date1990
Citation
Ieee Transactions On Geoscience And Remote Sensing, 1990, v. 28 n. 3, p. 394-399 How to Cite?
AbstractA correction to the Born approximation for the apparent conductivity (induced voltage) in a layered medium is derived. Unlike previous corrections which rely primarily on adjusting the background conductivity artificially to fit the data, the correction in this case comes naturally out of the physics and theory of the problem. The correction involves a single constant a and is nonlinear in conductivity. An algorithm for choosing a for induction logging applications is derived. The correction is shown to be significantly more accurate than the uncorrected Born approximation at high conductivity contrasts between adjacent beds. The correction does not significantly increase the computation time or complexity of the Born approximation. Thus, it has application to the related inverse problem where the speed of computation of the forward problem is important. In typical cases studied, the correction is shown to reduce the root mean square (RMS) error of the Born approximation to no more than 5% in regions where the Born approximation without correction has a RMS error of up to 30%.
Persistent Identifierhttp://hdl.handle.net/10722/182502
ISSN
2015 Impact Factor: 3.36
2015 SCImago Journal Rankings: 1.975
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorHoward Jr, Allen Qen_US
dc.contributor.authorChew, Weng Choen_US
dc.contributor.authorMoldoveanu, Michael Cen_US
dc.date.accessioned2013-05-02T05:15:37Z-
dc.date.available2013-05-02T05:15:37Z-
dc.date.issued1990en_US
dc.identifier.citationIeee Transactions On Geoscience And Remote Sensing, 1990, v. 28 n. 3, p. 394-399en_US
dc.identifier.issn0196-2892en_US
dc.identifier.urihttp://hdl.handle.net/10722/182502-
dc.description.abstractA correction to the Born approximation for the apparent conductivity (induced voltage) in a layered medium is derived. Unlike previous corrections which rely primarily on adjusting the background conductivity artificially to fit the data, the correction in this case comes naturally out of the physics and theory of the problem. The correction involves a single constant a and is nonlinear in conductivity. An algorithm for choosing a for induction logging applications is derived. The correction is shown to be significantly more accurate than the uncorrected Born approximation at high conductivity contrasts between adjacent beds. The correction does not significantly increase the computation time or complexity of the Born approximation. Thus, it has application to the related inverse problem where the speed of computation of the forward problem is important. In typical cases studied, the correction is shown to reduce the root mean square (RMS) error of the Born approximation to no more than 5% in regions where the Born approximation without correction has a RMS error of up to 30%.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Geoscience and Remote Sensingen_US
dc.titleNew correction to the Born approximationen_US
dc.typeArticleen_US
dc.identifier.emailChew, Weng Cho: wcchew@hku.hken_US
dc.identifier.authorityChew, Weng Cho=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/36.54365en_US
dc.identifier.scopuseid_2-s2.0-0025430469en_US
dc.identifier.volume28en_US
dc.identifier.issue3en_US
dc.identifier.spage394en_US
dc.identifier.epage399en_US
dc.identifier.isiWOS:A1990DA78800012-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridHoward Jr, Allen Q=7402702579en_US
dc.identifier.scopusauthoridChew, Weng Cho=36014436300en_US
dc.identifier.scopusauthoridMoldoveanu, Michael C=55407221200en_US

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