@boulderjohn
Just checking my math. Will this rule of thumb,
D * 10 + 300
Get two divers back to the surface with one of them OOA? Will it permit a 3min stop at 15 ft? Assume AL80 at 1cf/min SAC for both.
Thanks
I did the algebra/pre-calc. Short answer, given the stated parameters, this formula works down to a depth of approximately 190 feet. Below that, the formula doesn't give you enough reserve. But, if you're going that deep, you don't need me to tell you that. And if you're going that deep on an AL80, you're probably going to die anyway.
Longer answer:
The formula given is linear. The formula for gas required to make an ascent from depth D is exponential. That is because the gas required per minute is a function of depth, and the time to ascend is also a function of depth. You multiply them together and the result is that the total gas required depends on the the square of D (i.e. D^2 is part of the equation).
Assuming the stated parameters of:
2 divers
RMV of 1.0 cu-ft/min for each diver
AL80 (so, 77 cu-ft of air @ 3000psi)
3 min stop at 15 ft (static coefficient of approx 9 cu-ft required)
Solving for the intersection of the two equations results in the deep side being approximately 190 feet. Shallower depths mean the rule of thumb for psi reserve gives you more gas than is required to make the specified ascent.
Note that this does not include a time allowance for "sorting things out" before starting the ascent. It also is a solution for arriving at the surface with 0 psi left in the tank. OTOH, at depths shallower than 190 feet, the formula for the reserve does result in more than 0 psi left when arriving at the surface. The actual amount left varies with the initial depth.
Caveat: This is IF I did all my Post-it Note algebra correctly.
Lastly, it's a handy rule of thumb to use as a starting point for Recreational sport diving. But, I think you should do your own math, for your own parameters and target depth, each time you dive, just to make sure you're not making a mistake, and to keep yourself up to date on being ABLE to calculate your gas management.