The flow rate and pipe size are dependant on the head pressure. It also is dependant on if it is in laminar or turbulent flow conditions. In your case I would guess that it going through a limestone formation and it not being uniform in nature you are in turbulent flow conditions. I would calculate it to be somewhere between a 5 to 6 inch pipe loss that you are experiencing to get 400 gal/min.

That being said it most likely is a series of cracks and fissures that total up to an equivalent of a 5 to 6 inch pipe.
To give perspective to all:
450 gal/min reduces a pond by 1 acre inch/hour
Don't you just hate it when an engineer gets involved.

It comes out all numbers and no fun !!!
