Solución analítica del problema directo de la tomografía de capacitancia eléctrica para un fluido bifásico con una inclusión circular

abstract.in this article is disclosed a mathematical model to the problem of electrical capacitance tomography (ect), for the case of a dielectric biphasic fluid with a circular inclusion. we solve the direct problem, which consists in obtaining an analytic expression for the mutual capacitances. the solution of the direct problem will serve to validate any method of inverse problem solution, to calibrate the existing measurement equipment and also to build an adaptive discretization method to solve the inverse problem of the ect.