surge into (something)
1. Of a liquid or gas, to enter into something or some place in a great gush or burst. Cold air comes surging into the house if you leave the doors open for more than a couple of seconds. Rainwater started surging into the room through a crack in the window.
2. Of people, animals, or things, to enter something or some place in large numbers and all at once. Hundreds of people surged into the store to nab one of their amazing Black Friday deals. A huge colony of bats surged into the sky from the mouth of the cave.