This is just an overview. And it is also perhaps part of the reason
scientists dont seem interested in researching the pump.
The physics is incredibly complicated!
Just the act of forming a bubble as the water goes down the tube!
Big bubbles might require less energy to form than little ones? But
little bubbles do not float upwards at the same rate, do they?
So maybe it is better to break up the bubbles more. And what happens
if 2 bubbles meet in the downpipe? Do they merge? do they break up
more in the turbelence between them? (And this matters because you
can send lots of air down to 7 feet deep or less air down to 10 feet
from the same head. (I have found 10 ft deep better).
Then there is the airlift section. You can use big pipes, you can use
little pipes (Within a certain range) and the airlift process will
carry on regardless. BUT it will not have the same efficiency.
And it might be that to pump to different heights, you might need
different size pipes for optimum results to those different heights.
What i am trying to say is that the physics is too complicated and
that experimental results trump theory is such instances.
The way to build a better pulser pump starts with building a pulser
pump.