spring forth
1. Literally, or a liquid, to gush out of some point or place. Oil sprang forth from the spot where my pickaxe had struck the earth. Water will spring forth if you turn this knob counterclockwise.
2. By extension, to come into existence from some point of origin, especially quickly, suddenly, or voluminously, like water from a spring. I had no idea what I was going to say during my speech, but the words just seemed to spring forth. All sorts of interesting and exciting ideas sprang forth during our developers' conference. Once the investment funds began springing forth, we knew that our business had a chance at success.