A physical attribute migration method for a medium is disclosed. The method comprises forming at least one collection of seismic traces associated with an area of the medium and classified according to a predetermined criterion, and a stack section is produced on the basis of said seismic trace collection using a stacking speed field related to said area. According to the method, (a) the product of a term related to the trace amplitude and a term related to the stacking speeds is determined; (b) the amplitude data and the product are migrated at an initial migration speed to give a migrated amplitude image and a migrated product image, respectively; (c) a ratio is established between the migrated product image data and the migrated amplitude image data to give a migrated position speed; and (d) steps (b) and (c) are iterated in such a way that the migration speed of each iteration is the same as the migrated position speed from the preceding iteration, until the deviation between the migrated position speed of the final iteration (n) and that of the penultimate iteration (n-1) is below a predetermined threshold.