NDLI: Application of the Variable Projection Scheme for Calibration in Electromagnetic Data Inversion

Content Provider	IEEE Xplore Digital Library
Author	Maokun Li Abubakar, A. Fuqiang Gao Habashy, T.M.
Copyright Year	1963
Abstract	In this communication, we apply the variable projection method to calibrate measured data for electromagnetic (EM) data inversion. In the calibration process, we need to determine the amplitude and phase of the sources so that the simulated data can match the measured data. These data are difficult to measure due to the casing effect from metallic well pipes. Previous work usually defines the source amplitude and phase as unknowns. They are either computed before or inverted simultaneously during the inversion process. Using the variable projection method, we transform these unknowns into a least-square representation of measured and simulate data. This way we avoid these unknowns in the inversion process. Therefore, this method shows a better computational efficiency. Moreover, it improves the robustness of the inversion especially for gradient methods such as the nonlinear conjugate gradient method. We have incorporated this scheme into the two-and-half-dimensional EM data inversion algorithm and it works effectively in reconstructing the conductivity distribution.
Sponsorship	IEEE Antennas and Propagation Society
Starting Page	332
Ending Page	335
Page Count	4
File Size	3965533
File Format	PDF
ISSN	0018926X
Volume Number	64
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2016-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Conductivity Calibration Electromagnetics Jacobian matrices Robustness Gradient methods Mathematical model variable projection method inverse problems nonlinear inversion data calibration Data calibration
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics Electrical and Electronic Engineering

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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