The potential energy of the disturbed sea level is turned into kinetic energy, creating a shallow wave, a tsunami, radiating outwards at a velocity proportional to the square root of the depth of the water, and which is therefore much faster in the deep ocean.
The potential energy of the raised sea above the site is turned into kinetic energy, creating a shallow wave, a tsunami, radiating outwards at great velocity. The speed at which these travel varies with the square root of the water depth and is therefore much faster in the deep ocean.