Pre-stack depth migration (PSDM), while costly, is a powerful tool for imaging and velocity analysis. Seismic velocity anisotropy is now thought to be widespread in sedimentary rocks, particularly shales. We have written a 2D pre-stack depth migration code for use in transversely isotropic media with a Vertical symmetry axis (TIV). We use it to investigate the effects of anisotropy on isotropic pre-stack migration by means of a simple synthetic example. Results suggest that it is difficult to find plausible isotropic models which give good images of reflectors at all dips. We further apply our PSDM code to a 2D line of real data from offshore West Africa, where there is a thick shale sequence, using isotropic and anisotropic velocity models. A dipping fault plane is imaged more clearly with the anisotropic model, but some of the near horizontal reflectors are less well imaged suggesting that this model could be improved and confirming the sensitivity of pre-stack depth migration to all aspects of the velocity model.