There is a relatively simple way of looking at the subject Bob.
Look at the volume displacement of the hull, from the bow back to the maximum displacement and the rate at which it is increased from zero to its maximum, Once you have that then you look at the many various ways at which you can “release” that energy cleanly. Looking at it in this way should guide you to the required calculations in their simplest form.
Remember that the displacement energy is "placed" into the water in a global fashion, it cannot be looked at accurately in a two dimensional calculation