Damage detection in cementitious materials with optimized absolute electrical resistance tomography

Abstract

Electrical resistance tomography (ERT) serves as a non-invasive, non-destructive, non-radioactive imaging technique. It has potential applications in industrial and biological imaging. This paper presents an optimized inverse algorithm, named Newton’s Constrained Reconstruction Method (NCRM), to detect damage in cementitious materials. Several constraints were utilized in the proposed algorithm to optimize initial parameters. The range and spatial distribution of conductivities within the sample were chosen as two main constraints. Two sets of numerical and a set of experimental voltage data were used to reconstruct conductivity distribution images based on this algorithm. To evaluate the quality of reconstructed images, two image quality evaluation indicators, correlation coefficient and position error were used. Results show that the proposed algorithm NCRM has the ability to enhance the reconstructed image quality with fewer artifacts and has better positioning accuracy.

Fast artifact filtering algorithm for electrical resistivity tomography

“…where ρ represents the resistivity of an element, ρ min is the minimum resistance of all elements, ρ max is the maximum resistance of all elements, and V damage is a threshold parameter. According to literature [11], this study used 0.7.…”

“…Newton's one-step error reconstruction (NOSER) algorithm proposed by Cheney only needs to iterate once based on the initially set resistivity distribution to obtain the resistivity distribution results [9]. Compared with other soft imaging algorithms that require multiple iterations [10][11][12], NOSER has great advantages in terms of computing speed and efficiency [13]. Therefore, NOSER is suitable for situations with a large finite element scale.…”