Abstract

Tomography determines the distribution of materials by the use of sensors that captures information on the materials in regions of interests such as cross-section of pipelines or process vessels. In this paper, system equation for the 4 and 16 sensor systems is derived based on the Cartesian coordinate system, the elements’ technique of the finite-element method, Gauss’s and Coulomb’s theories. The derived equation relates the electric charge distribution in a pipeline cross-section and the installed sensors at the periphery of the pipeline. From the developed system equation, sensitivity matrices for the two systems resulting from the assumed spatial electric-charge distribution on the pipeline cross-section were made. The developed sensitivity matrices of the two systems were in turn used for the reconstruction of the tomography images or concentration profiles of the moving particles across the pipeline cross-section. This research is carried out in order to explore the possibilities of reducing the 8 to 32 electrodynamic sensor systems that are normally used in electric charge tomography systems. A comparison between the reconstructed images of the 4 and 16 sensor systems was made, and the results show that the 16 sensor system produced more accurate images than the 4 sensor system. Nevertheless, the 4 sensors’ system could be used in quantitative applications.

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