Same thing Walter did, just a little different way to explain it.
Lets say you want to compute your surface air consumption (SAC) for swimming. SAC is expressed in cubic feet per minute, which frees you from making any cylinder volume assumptions.
Get to a certain depth, note your pressure and swim at that depth for a number of minutes. Again note your pressure.
Let me pause here, this is probably best done by example, so lets say you dove a standard AL80 and at 66' you swam for 10 minutes and ended up going from 3000 psi to 2400 psi, so you used:
3000 2400 = 600 psi.
The number of cubic feet you used would be psi used / working pressure psi * cylinder volume at working pressure or: 600 / 3000 * 80 = 16cf over 10 minutes.
Divide by 10 minutes and you have how many cubic feet of gas per minute you use at that depth. So that's 16 / 10 = 1.6 cf/min at 66 feet.
Now you have to figure out your rate at the surface. At 66 feet you're under 66 feet / 33 feet per atmosphere = 2 atmospheres + 1 atmosphere for the air on top of the water = 3 atmospheres absolute (ATA).
So the final calculation is 1.6 cf/min at depth / 3 ATA = call it 0.54 cf/min at the surface, which is your SAC.
Once more without all the verbiage:
1) (Psi used / working pressure of cylinder) * cubic feet of cylinder = cubic feet used at depth.
2) Cubic feet used at depth / minutes of test = cubic feet per minute at depth.
3) (depth / 33) + 1 = ATA at depth
4 )Cubic feet per minute at depth / ATA at depth = SAC or consumption in cubic feet per minute at the surface.
Basically four simple steps.
So how do you use this? Armed with the knowledge that your SAC is .54 cf/min, how long can you dive on a wreck at 99 feet before you start your ascent with 1000 psi left in your AL80 cylinder?
How many cf of gas do you have to use? Well youre planning on using 2000 psi for the dive, so thats 2000/3000*80 = 53 cf of gas to use for the dive before you turn.
At 99 feet, youre exposed to (99 / 33) + 1 (for the atmosphere) = 4 ATA, so your .54 cf per min consumption rate quadruples to .54 * 4 = call it 2.2cf/min.
How long will that 53 cf last at a consumption rate of 2.2 cf/min?
53 cf / 2.2 cf per min = 24 minutes.
So all conditions being perfect, you can dive that 99-foot wreck for 24 minutes before you turn, and you should have 1000 psi in your cylinder when you do.
This is by no means a substitute for an SPG
Roak