Magnetic signature measurements are taken at various points corresponding to an original water depth beneath a ship. A computer processor receives and processes (i) this group of measured magnetic signature values and (ii) the designed magnetic signature value the sensing of which actuates the subject magnetic mine, implementing graph display management on a user interface display screen. According to the computer processing, some or all such measured magnetic signature values are extrapolated at different depths each greater than the original depth, thereby yielding several or many groups, each group being of extrapolated magnetic signature values associated with various points corresponding to the same depth, the groups collectively representing a three-dimensional arrangement of extrapolated magnetic signature values associated with various points corresponding to different depths. Each point is characterized as either actuating or non-actuating of the mine, and various perspectives of some or all such characterizations are displayed.