When I was working for the FD, we were taught the theoretical max lift was 30 feet. That's from the top of the water surface to the pump. Drilling/chain sawing a hole in the ice helps a lot, but you still can't overcome the 30 foot limit. Obviously the practical is much less, depending on pump conditions and how well the seal is on the hoses/hydrant, etc.
This is on draft, drop a submersible in and the rules change. Relay pumping is to overcome the friction loss of the hose, terrain height differences, etc, etc, etc.
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