Two-Dimensional Simulation of Electrostatic Field for Electrical Resistance Tomography

K L Ostrowski and R A Williams

Particle and Colloid Engineering Group, Camborne School of Mines, University of Exeter Redruth, Cornwall TR15 3SE UK

Tel:(+44)01209 714866, Fax: (+44) 01209 716977, E-mail: williams@csm.ex.ac.uk

Abstract - The two-dimensional analysis of the electrostatic field inside an electrical resistance tomography sensor is presented. The theoretical model is based on application of the logarithmic potential to the surface of each electrode transformed by conformal mapping from sensor circumference to a straight line. This approach automatically returns singularities at the edge points of each electrode. Examples of voltage and current function distribution are given for different electrode angles and different positions of the source and sink electrodes.

Keywords : electrical tomography, field simulation, analytical functions, logarithmic potential