Seismic time migration is a method to remove distortions in seismic recordings and move events to their spatially correct locations while collapsing diffraction energy back into the scatter points. Reservoir geophysical utilizes a curved-ray Kirchhoff time migration, which produces a superior result of imaging steep dips than standard straight-ray imaging. Staight-ray migration introduces errors in lateral positioning of dipping seismic events, as well as having incorrect move-out for far-offset seismic data. Reservoir Geophysical's curved-ray time migration algorithm accounts for both of these issues while preserving relative amplitude and frequency response to provide the best available seismic imaging in the time domain.