It depends on how clever your players are, in the case of self compels. Ive played it so a scene could hand out 2 or 3 compels to the two players I was GMing for, and they spent them rather quickly. Within the next scene.
Ive also had it so one player gained 5 compels in a single scene (but I was throwing them at him to beef him up for a strong solo encounter).
The player was a white court vampire who was basically locked in a room with two lusty hussies. They were throwing +6 (Fantastic) + Roll Rapports at him, and invoking aspects and using maneuvers to try to get him to sex them up. The hammer over his head, of course, was his accidentally killing them and becoming a white court vampire. He barely survived, it was a pretty dramatic scene for him, and it was fun to run.
Thats probably going to be a rare case though. At most you'll probably see players wringing one or two fate points from each scene.