Electric resistivity tomography for geophysical inverse problems

Author

Koh, Chang Seop ; Kim, An-Kyu ; Jung, Hyun-Kyo ; Hahn, Song-Yop ; Suh, Baek-soo

Author_Institution

Sch. of Electr. & Electron. Eng., Chungbuk Nat. Univ., South Korea

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1852

Lastpage

1855

Abstract

A new method for electric resistivity tomography (ERT) is developed for geophysical inverse problems by adapting sensitivity analysis. The outputs of potential electrodes are computed using the two dimensional finite element method in wave number space by Fourier transforming the governing equations. The resistance distribution in the region of interest, which makes the computed potential distribution coincide with the measured potential, is found by minimizing the objective function using an optimization method. In this process sensitivity analysis is introduced in order to compute the derivatives of the objective function. And an adjoint variable method is used to save the computational efforts for the sensitivity coefficients

Keywords

Fourier transforms; electrical conductivity; finite element analysis; geophysical prospecting; inverse problems; minimisation; sensitivity analysis; terrestrial electricity; tomography; Fourier transform; adjoint variable method; electric resistivity tomography; geophysical inverse problems; objective function; optimization method; potential distribution; potential electrodes; resistance distribution; sensitivity analysis; two dimensional finite element method; wave number space; Distributed computing; Electric resistance; Electrical resistance measurement; Electrodes; Equations; Finite element methods; Geophysics computing; Inverse problems; Sensitivity analysis; Tomography;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582643

Filename

582643