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Joint analysis of seismic and electromagnetic data is difficult because the data sets lack a common physical parameter, and rock physics is usually applied to link the two methods via porosity. However, rock physics parameters are not well known in near field exploration, and estimates are likely to have large errors associated with them. In this work, we use a set of rock physics relations to link velocity to resistivity. Which relation is used is a function of depth and lithology, or seismic velocity, and the relations itself are a function of depth. We then estimate the uncertainty of our model. We apply our methodology to seismic velocities from the North Sea, were we show that the background resistivities of a field can be modelled by (1) calibrating rock physics models for different lithologies on a well log from an adjacent field (including their depth-trends), and (2) calculating the corresponding uncertainty. This method is a useful tool for generating a more realistic resistivity background model for electromagnetic inversions, where resistivities are given as probability density functions.