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This paper describes a reservoir monitoring interpretation method that combines time-lapse downhole DC electrical measurements and multiphase fluid flow simulation to infer both the electrical (resistivity) and fluid flow (relative permeability) properties of the medium. The two types of earth properties are linked through petrophysical laws. We use a Bayesian inference approach, where the knowledge of the parameters of interest is quantified through probability density functions. The solution is given by the posterior probability density of parameters related to the relative permeability of each fluid phase