A method is described for processing residual moveout in seismic image data gathers representing critical reflections. The method includes receiving seismic image data arranged as a function of an angle or offset parameter including a high-velocity-contrast event with post-critical. The method also includes applying a wavelet de-stretch filter to the seismic data to correct wavelet stretching. The method also includes applying a fan-filter to remove coherent noise in the one or more post-critical traces; picking residual moveout of the high-velocity-contrast event; adjacent-trace differencing to detect the impact of phase change at critical reflections in residual moveouts, and applying a median-filter to the residual moveout to reduce the impact of phase change of the high-velocity-contrast event in the one or more post-critical traces. The median-filtered and reconstructed residual moveout is used for improving a velocity model used for generating the seismic image gathers.