Seismic migration consists of retrieving the Earth properties (reflectivity) from surface seismic measurements. The result depends on the background velocity model that controls the wave propagation through the Earth. Starting from a reference migrated section, we show how curvelets can efficiently predict a series of other migrated images for perturbed velocity models. The result is obtained by analyzing the distortion of curvelets through the combined demigration/migration operator associated to two different velocity models.