Recent advances in seismic acquisition and processing allowed enhancing significantly the imaging resolution, mainly by broadening the signal bandwidth towards the lower frequencies. So far, however, frequencies lower than a few Hz cannot be obtained by standard surveys, and this gap is normally filled by estimating those components using velocity analysis. In this paper we propose a similar approach for imaging the anelastic absorption, i.e., by merging a low-frequency component given by reflection tomography with the high-frequency component derived from the instantaneous frequency. First, a macro-model in depth is built by traveltime and Q-factor tomography; then, this model is combined with the high-frequency component obtained from the depth migrated instantaneous frequency. We get so a broadband Earth model for the Q factor, using a consistent velocity field provided by the traveltime inversion of direct and reflected arrivals. This new hybrid method is applied to a 2D synthetic example.