surge in(to something)
to burst or gush into something or some place. The water surged into the valley after the dam broke. The doors opened and the people surged in.
surge out (of something)
to burst forth or gush out of something or some place. The water surged out of the huge crack in the dam. We saw the crack where the water surged out.
surge up
to rush or gush upwards. A spring of fresh water surged up under the stone and flowed out on the ground. The oil surged up and blew out into the open air in a tall black column.