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http://dx.doi.org/10.7734/COSEIK.2019.32.4.249

Electrical Impedance Tomography for Material Profile Reconstruction of Concrete Structures  

Jung, Bong-Gu (Department of Civil Engineering, Hongik University)
Kim, Boyoung (Department of Civil Engineering, Hongik University)
Kang, Jun Won (Department of Civil Engineering, Hongik University)
Hwang, Jin-Ha (Department of Materials Science and Engineering, Hongik University)
Publication Information
Journal of the Computational Structural Engineering Institute of Korea / v.32, no.4, 2019 , pp. 249-256 More about this Journal
Abstract
This paper presents an optimization framework of electrical impedance tomography for characterizing electrical conductivity profiles of concrete structures in two dimensions. The framework utilizes a partial-differential-equation(PDE)-constrained optimization approach that can obtain the spatial distribution of electrical conductivity using measured electrical potentials from several electrodes located on the boundary of the concrete domain. The forward problem is formulated based on a complete electrode model(CEM) for the electrical potential of a medium due to current input. The CEM consists of a Laplace equation for electrical potential and boundary conditions to represent the current inputs to the electrodes on the surface. To validate the forward solution, electrical potential calculated by the finite element method is compared with that obtained using TCAD software. The PDE-constrained optimization approach seeks the optimal values of electrical conductivity on the domain of investigation while minimizing the Lagrangian function. The Lagrangian consists of least-squares objective functional and regularization terms augmented by the weak imposition of the governing equation and boundary conditions via Lagrange multipliers. Enforcing the stationarity of the Lagrangian leads to the Karush-Kuhn-Tucker condition to obtain an optimal solution for electrical conductivity within the target medium. Numerical inversion results are reported showing the reconstruction of the electrical conductivity profile of a concrete specimen in two dimensions.
Keywords
electrical impedance tomography(EIT); complete electrode model(CEM); finite element method; electrical conductivity; inversion;
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Times Cited By KSCI : 1  (Citation Analysis)
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