At least some of the example embodiments are methods including: performing Normal MoveOut (NMO) correction on a first Common Depth Point (CDP) gather, the NMO correction based on a reference velocity of sound in water, the NMO correction creates first NMO data with a plurality of traces; selecting a first estimated velocity that makes travel time represented in the traces substantially the same; calculating a zero-offset time shift that represents a difference in travel time as between the reference velocity and the first estimated velocity at a zero-offset trace; performing NMO correction on the first CDP gather based on a final estimated velocity to create second NMO data; adding the zero-offset time shift to each trace of the second NMO data; and then performing reverse NMO correction on the second NMO data to create corrected data.