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Article: Inversion of induction tool measurements using the distorted Born iterative method and CG-FFHT
Title | Inversion of induction tool measurements using the distorted Born iterative method and CG-FFHT |
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Authors | |
Issue Date | 1994 |
Citation | Ieee Transactions On Geoscience And Remote Sensing, 1994, v. 32 n. 4, p. 878-884 How to Cite? |
Abstract | The 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 Identifier | http://hdl.handle.net/10722/182546 |
ISSN | 2023 Impact Factor: 7.5 2023 SCImago Journal Rankings: 2.403 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Chew, Weng Cho | en_US |
dc.contributor.author | Liu, QingHuo | en_US |
dc.date.accessioned | 2013-05-02T05:15:49Z | - |
dc.date.available | 2013-05-02T05:15:49Z | - |
dc.date.issued | 1994 | en_US |
dc.identifier.citation | Ieee Transactions On Geoscience And Remote Sensing, 1994, v. 32 n. 4, p. 878-884 | en_US |
dc.identifier.issn | 0196-2892 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/182546 | - |
dc.description.abstract | The 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.language | eng | en_US |
dc.relation.ispartof | IEEE Transactions on Geoscience and Remote Sensing | en_US |
dc.title | Inversion of induction tool measurements using the distorted Born iterative method and CG-FFHT | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chew, Weng Cho: wcchew@hku.hk | en_US |
dc.identifier.authority | Chew, Weng Cho=rp00656 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1109/36.298015 | en_US |
dc.identifier.scopus | eid_2-s2.0-0028465042 | en_US |
dc.identifier.volume | 32 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.spage | 878 | en_US |
dc.identifier.epage | 884 | en_US |
dc.identifier.isi | WOS:A1994PB21900014 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Chew, Weng Cho=36014436300 | en_US |
dc.identifier.scopusauthorid | Liu, QingHuo=26643168800 | en_US |
dc.identifier.issnl | 0196-2892 | - |