This paper describes joint effective-medium modeling of elastic and resistivity laboratory data obtained on a set of outcrop carbonate samples from the Apulia Platform in Italy. The challenge is to model both the elastic-wave velocity and resistivity using a single theoretical approach. The candidate models are (a) the differential effectivemedium (DEM) theory and (b) the self-consistent approximation (SC). DEM may accurately describe the elastic properties but fails to describe resistivity, because it explicitly assumes that the pores are inclusions in the mineral matrix and thus lack adequate connectivity. On the other hand, SC treats both the pores and the matrix as inclusions, thus implicitly providing the connectivity needed to match the measured resistivity. At the same time, SC makes it possible to match both the elastic data and the measured resistivity using one set of model parameters.We show that SC, where the rock components are assumed conceptually symmetric, is a robust approach to modeling both velocity and resistivity in our carbonate rock samples, particularly when using needle-like pores, which tend to be stiff but well connected.