Please use this identifier to cite or link to this item:
http://hdl.handle.net/2122/968
Authors: | Deidda, G. P.* Bonomi, E.* Manzi, C.* |
Title: | Inversion of electrical conductivity data with Tikhonov regularization approach: some considerations | Issue Date: | 2003 | Series/Report no.: | 3/46 (2003) | URI: | http://hdl.handle.net/2122/968 | Keywords: | inverse problems Tikhonov regularization projected conjugate gradient high-frequency electromagnetics |
Subject Classification: | 05. General::05.04. Instrumentation and techniques of general interest::05.04.99. General or miscellaneous | Abstract: | Electromagnetic induction measurements, which are generally used to determine lateral variations of apparent electrical conductivity, can provide quantitative estimates of the subsurface conductivity at different depths. Quantitative inference about the Earth's interior from experimental data is, however, an ill-posed problem. Using the generalised McNeill's theory for the EM38 ground conductivity meter, we generated synthetic apparent conductivity curves (input data vector) simulating measurements at different heights above the soil surface. The electrical conductivity profile (the Earth model) was then estimated solving a least squares problem with Tikhonov regularization optimised with a projected conjugate gradient algorithm. Although the Tikhonov approach improves the conditioning of the resulting linear system, profile reconstruction can be surprisingly far from the desired true one. On the contrary, the projected conjugate gradient provided the best solution without any explicit regularization ( a= 0) of the objective function of the least squares problem. Also, if the initial guess belongs to the image of the system matrix, Im(A), we found that it provides a unique solution in the same subspace Im(A). |
Appears in Collections: | Annals of Geophysics |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
549_558Deidda.pdf | 455.62 kB | Adobe PDF | View/Open |
Page view(s) 50
153
checked on Apr 17, 2024
Download(s) 10
649
checked on Apr 17, 2024