I'd clean out the busted section to get down to clay with an excavator. The years you are talking about put a lot of sediment over the opening. Leaving it could give you a weak "layer" separating the original core trench clay from your "repair"clay.
I'd also notch into both sides of the opening to give it a tongue and groove shape. Kinda like a splice overlap when looking down at the dam.
Pack it down as Eddie mentioned above. I know, as I have had the same pond fill before the dam was finished and then again during remodeling. Eddie's method for packing is what I used. So far the dam is holding unfinished, with a foot of water going over the spillway and four spots over the dam, last Saturday!
Get a Honda water pump to keep the water down. I bought a Honda 2 inch pump in 2012 (when I built the pond) and now have over 225 hours on it with no problems. Be sure the pump and engine both are made by Honda.
hugs, Brandi