DETERMINATION OF THE INTERFACE BETWEEN THE FLUIDS IN A HALL-HEROULT CELL FROM MEASUREMENTS OF ELECTRIC POTENTIALS AND CURRENTS ON THE ELECTRODES

In this paper we apply the method of electrical impedance tomography t o the problem of determining the interface between two fluid layers in a shallow electrolytic cell. We show that any nontrivial set of bound ary currents and corresponding boundary voltages suffices to uniquely identify the interface. We propose a very simple reconstruction method that in an essential way uses the fact that the cell is of very small height. Estimates of the accuracy of this method are also provided. F inally we perform a number of computational experiments to demonstrate the efficiency of the method we propose. For the numerical reconstruc tions we use synthetic data generated from a discretized boundary inte gral formulation of the underlying conductivity problem.