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Article: Inversion of induction tool measurements using the distorted Born iterative method and CG-FFHT

TitleInversion of induction tool measurements using the distorted Born iterative method and CG-FFHT
Authors
Issue Date1994
Citation
Ieee Transactions On Geoscience And Remote Sensing, 1994, v. 32 n. 4, p. 878-884 How to Cite?
AbstractThe inversion of induction tool measurements using the distorted Born iterative method (DBIM) and the conjugate gradient-fast Fourier-Hankel transform (CG-FFHT) is described. The inverse problem is formulated in terms of an integral equation of scattering where the unknown to be sought is the conductivity in the rock formation, when the measurements along a borehole axis are performed. The nonlinear problem is linearized at each stage using the distorted Born approximation. The inhomogeneous medium Green's function in the distorted Born approximation is found by solving a volume integral equation using the CG-FFHT method, which allows a rapid solution to a large problem with reduced computational complexity and memory requirement. In this manner, the inverse problem is solved with a computational complexity proportional to Ntl N log N where Ntl is the number of transmitter locations used in the data collection and N is the total number of pixels used to model the unknown formation. The memory requirement is of order NNtl.
Persistent Identifierhttp://hdl.handle.net/10722/182546
ISSN
2015 Impact Factor: 3.36
2015 SCImago Journal Rankings: 1.975
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChew, Weng Choen_US
dc.contributor.authorLiu, QingHuoen_US
dc.date.accessioned2013-05-02T05:15:49Z-
dc.date.available2013-05-02T05:15:49Z-
dc.date.issued1994en_US
dc.identifier.citationIeee Transactions On Geoscience And Remote Sensing, 1994, v. 32 n. 4, p. 878-884en_US
dc.identifier.issn0196-2892en_US
dc.identifier.urihttp://hdl.handle.net/10722/182546-
dc.description.abstractThe inversion of induction tool measurements using the distorted Born iterative method (DBIM) and the conjugate gradient-fast Fourier-Hankel transform (CG-FFHT) is described. The inverse problem is formulated in terms of an integral equation of scattering where the unknown to be sought is the conductivity in the rock formation, when the measurements along a borehole axis are performed. The nonlinear problem is linearized at each stage using the distorted Born approximation. The inhomogeneous medium Green's function in the distorted Born approximation is found by solving a volume integral equation using the CG-FFHT method, which allows a rapid solution to a large problem with reduced computational complexity and memory requirement. In this manner, the inverse problem is solved with a computational complexity proportional to Ntl N log N where Ntl is the number of transmitter locations used in the data collection and N is the total number of pixels used to model the unknown formation. The memory requirement is of order NNtl.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Geoscience and Remote Sensingen_US
dc.titleInversion of induction tool measurements using the distorted Born iterative method and CG-FFHTen_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.doi10.1109/36.298015en_US
dc.identifier.scopuseid_2-s2.0-0028465042en_US
dc.identifier.volume32en_US
dc.identifier.issue4en_US
dc.identifier.spage878en_US
dc.identifier.epage884en_US
dc.identifier.isiWOS:A1994PB21900014-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChew, Weng Cho=36014436300en_US
dc.identifier.scopusauthoridLiu, QingHuo=26643168800en_US

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