@adaptable Abe,
I'm not sure I understand your question. Submarines have compressed air banks that they use for emergencies. Buoyancy is maintained by pumping water into and out of the ballast tanks. They move water fore and aft to trim the boat and pump water in and out to maintain neutral buoyancy. In an emergency, they will open the "emergency blow" valves directing compressed air into the ballast tanks. This pushes out the water, reducing the overall weight and the submarine pops up to the surface. This is not normally done since this is an uncontrolled surface and there is a risk of the submarine hitting something.
Depth does affect the effectiveness of the emergency blow since it is harder to push out the water in the ballast tanks, but the air pressure is sufficient to handle that down to test depth.