In this paper, we investigate the inverse problem for the electric field so-called copper mine problem. In general, this task assumes detection of all air gaps. Gaps are localised above ceiling in a copper mine. Such task can be considered as application of the electrical impedance tomography. In order to solve forward problem there was used the boundary element method or the finite element method. The inverse problem is based on the level set method. There was considered extension of boundary element method (BEM). For simplicity zero order approximation has been chosen. The BEM has been connected with the infinite boundary elements. Hence, open domain problems with infinite boundary curves can be analysed. For such domain, we have solved the Dirichlet problem for two-dimensional Laplace’s equation. The proposed numerical model has been verified.


inverse problem; boundary element method; electrical impedance tomography

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Published : 2017-03-03

Rymarczyk, T., Tchórzewski, P., & Sikora, J. (2017). DETECTION OF AIR GAPS IN COPPER-MINE CEILING BY ELECTRICAL IMPEDANCE TOMOGRAPHY. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 7(1), 84-87.

Tomasz Rymarczyk
Netrix S.A., Research and Development Center  Poland
Paweł Tchórzewski 
Netrix S.A., Research and Development Center  Poland
Jan Sikora 
Lublin University of Technology, Institute of Electronics and Information Technology; Electrotechnical Institute  Poland