Migrating around on hyperbolas and parabolas

The term "migration" in seismic reflection imaging is traditionally used to describe a strategy by which one can transfer primary time-domain reflections (e.g., as observed in a common-shot or common-offset section) into their correct spatial positions on the searched-for subsurface reflector. It is also employed to describe a strategy to transfer primary reflections into their time-migrated positions directly in the time domain. More recently, the term migration has also been used to describe the process by which primary reflections, as observed in a common-offset (CO) section, are transferred to the positions where they would be observed in the zero-offset (ZO) section. The latter procedure is referred to as migration-to-zero offset (MZO). It is the subject to which we want to contribute.