The inverse problem solution for infinite regions using the impedence tomography technique

Author

Sikora, Ryszard ; Kaminska, Anna ; Sikora, Jan

Author_Institution

Theor. Electrotech. & Comput. Sci., Tech. Univ. Szczecin, Poland

Volume

32

Issue

3

fYear

1996

fDate

5/1/1996 12:00:00 AM

Firstpage

1294

Lastpage

1297

Abstract

A new method of solving inverse problems for infinite regions is presented. The impedance tomography technique is used in order to find the solution-the conductivity distribution inside the region under consideration. The inverse problem solution is usually time consuming. Significant reduction of calculation time was achieved in this paper due to: (1) the hybrid finite element method (infinite elements significantly reduce the number of state equations), (2) symbolic calculation of matrices for finite and infinite elements, and (3) the adjoint variable method of sensitivity analysis. Using computer simulation the new method presented was tested. The method proved to be an efficient noninvasive technique for condition monitoring of a copper mine gallery

Keywords

electric impedance; electric impedance imaging; electrical conductivity; finite element analysis; inverse problems; mining; monitoring; nondestructive testing; safety; sensitivity analysis; calculation time reduction; computer simulation; condition monitoring; conductivity distribution; copper mine gallery; hybrid finite element method; impedence tomography; infinite elements; infinite regions; inverse problem solution; matrices; noninvasive technique; sensitivity analysis; state equations reduction; symbolic calculation; Computer simulation; Conductivity; Equations; Finite element methods; Impedance; Inverse problems; Noninvasive treatment; Sensitivity analysis; Testing; Tomography;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.497482

Filename

497482