NDLI: Fast calculation of the sensitivity matrix for responses to the Earth’s conductivity: General strategy and examples

Please wait, while we are loading the content...

Inversion of relative changes in the magnetotelluric apparent resistivity into the relative changes in the resistivity of the elements of a geoelectric structure

Fast calculation of the sensitivity matrix for responses to the Earth’s conductivity: General strategy and examples

Izvestiya, Physics of the Solid Earth : Volume 46, Issue 8, August 2010

Izvestiya, Physics of the Solid Earth : Volume 46, Issue 7, July 2010

Izvestiya, Physics of the Solid Earth : Volume 46, Issue 6, June 2010

Izvestiya, Physics of the Solid Earth : Volume 46, Issue 5, May 2010

Izvestiya, Physics of the Solid Earth : Volume 46, Issue 4, April 2010

Izvestiya, Physics of the Solid Earth : Volume 46, Issue 3, March 2010

Izvestiya, Physics of the Solid Earth : Volume 46, Issue 2, February 2010

Izvestiya, Physics of the Solid Earth : Volume 46, Issue 1, January 2010

Izvestiya, Physics of the Solid Earth : Volume 45

Izvestiya, Physics of the Solid Earth : Volume 44

Izvestiya, Physics of the Solid Earth : Volume 43

Izvestiya, Physics of the Solid Earth : Volume 42

Fast calculation of the sensitivity matrix for responses to the Earth’s conductivity: General strategy and examples

Content Provider	Springer Nature Link
Author	Pankratov, O. V. Kuvshiv, A. V.
Copyright Year	2010
Abstract	Modern electromagnetic studies of the Earth deal with three-dimensional data sets and their inversion in the class of three-dimensional models. Due to the large scale of the 3D inverse problem, it is usually solved using gradient-type iteration techniques. These techniques require repeated calculations of the gradient of the penalty function (i.e., the sum of the misfit and the regularization term) with respect to the model parameters that describe the spatial distribution of conductivity. Since there are generally no analytical tools for calculating the misfit gradient, its computation requires the application of some numerical techniques. Unfortunately, it is impossible to perform mass calculations of the misfit gradient even using modern computing if one applies conventional numerical differentiation. In reality, in this case the number of calls of the forward problem is proportional to the number of the sought parameters, which is very large in case of a 3D inversion. However, there is a much more efficient method for calculation of the misfit gradient, namely, the adjoint-field technique. At present, this technique is widely used in the numerical schemes of the 3D inversion of electromagnetic and other data. With this technique we can calculate the misfit gradient with the same computational burden as that required for the solution of a single additional forward problem. Although this technique is widely used, we failed to find any comprehensive description of this technique in the literature that would allow one to apply this approach for any particular scheme of sounding, profiling, or transillumination as easily as a general formula is applied for a given case. In the present paper, we obtain general formulas for the quick calculation of the derivatives of the frequency-domain responses and the derivatives of the misfit function with respect to the variations in conductivity. We also show how the derived general formulas are transformed into particular expressions when we consider the response functions of the conventional and generalized magnetotelluric methods. In addition, we demonstrate how to apply our general methodology to the inversion of magnetovariational induction vectors (tippers), the phase tensor, and multipoint transfer functions, namely, the horizontal magnetic and telluric tensors.
Starting Page	788
Ending Page	804
Page Count	17
File Format	PDF
ISSN	10693513
Journal	Izvestiya, Physics of the Solid Earth
Volume Number	46
Issue Number	9
e-ISSN	15556506
Language	English
Publisher	SP MAIK Nauka/Interperiodica
Publisher Date	2010-09-03
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Geophysics/Geodesy
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Environmental Science

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

Erratum to: ”Fast Calculation of the Sensitivity Matrix for Responses to the Earth’s Conductivity: General Strategy and Examples”

Erratum to: ”Fast Calculation of the Sensitivity Matrix for Responses to the Earth’s Conductivity: General Strategy and Examples”

Seismic response to electromagnetic sounding of the Earth’s lithosphere

S-approximation of the Earth’s surface topography

Inertial effects in the Earth’s crust and magnetosphere

F-approximation of the Earth’s surface topography

Deformation processes in the lithosphere related to the nonuniformity of the Earth’s rotation

Cyclic variations in the Earth’s flattening and questions of seismotectonics

Use of the Earth’s gravitational model in marine gravity measurements

Fast calculation of the sensitivity matrix for responses to the Earth’s conductivity: General strategy and examples

Similar Documents

Erratum to: ”Fast Calculation of the Sensitivity Matrix for Responses to the Earth’s Conductivity: General Strategy and Examples”

Erratum to: ”Fast Calculation of the Sensitivity Matrix for Responses to the Earth’s Conductivity: General Strategy and Examples”

Seismic response to electromagnetic sounding of the Earth’s lithosphere

S-approximation of the Earth’s surface topography

Inertial effects in the Earth’s crust and magnetosphere

F-approximation of the Earth’s surface topography

Deformation processes in the lithosphere related to the nonuniformity of the Earth’s rotation

Cyclic variations in the Earth’s flattening and questions of seismotectonics

Use of the Earth’s gravitational model in marine gravity measurements

Fast calculation of the sensitivity matrix for responses to the Earth’s conductivity: General strategy and examples