The problem with calculations, as you are aware, is that people make significant mistakes.
Paradoxically, the benefit of calculations is that people can also see their mistakes ie. assumptions about gas consumption.
The more complicated the calculation the more chance of a mistake. It is relatively easy for a diver to build up empirical knowledge of the ascent pressure required from varying depths to surface with 50 b. I'd say for many recreational OW/AOW divers that is a big plus for the 'surface with 50 b' approach.
Rock bottom is not complicated and one doesn't have to remake the calculations every dive. For straight forward dives I get the "return to the surface with 500psi/50b" concept. What I never got, and was never taught, was how to plan an AOW dive so I could accomplish that intelligently.
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Let's look at a very simple AOW shore dive:
60' for 50 minutes on air. Swim down, swim around, swim up - no overheads, no need to return to a specific exit.
A group is planning this dive and invites a newer AOW diver to join. With a sac of .75 he wants to rent a tank and wonders if an Al 80 is enough or should he go for a HP 100 for such a dive.. HP 130?
He also wonders if he should take that course and use EAN to extend the dive. So many questions...
He asks the shop employee who has a sac of .50 and they say a 100 is fine. They do that same dive and always surface with at least 800psi. They also say Nitrox is the safer way to dive and sign him up for Basic EAN and pre-sell him tank wraps and an analyzer.
He goes on the dive but finds he either has to run low on air to stay with the group or call the dive early. Why is he such a terrible diver. Why does he still run into trouble???
The shop suggests he take a PPB course or consider "turning pro".
But then he meets Fred, who introduces him to rock bottom calculations.
First, Fred notes the air tables state that 50min at 60' requires a mandatory SS so with that he sits the newer diver down with a calculator...
Reserve Volume (base on 1cuft/min):
20cuft (rounded)
Ascent volume + SS volume (5+6) = 11 X 2 (air sharing)
Bottom Volume (based on .75sac):
112cuft
atm's X sac X time (3X.75X50)
BV+RV =
132cuft. That's why the 100cuft tank wasn't big enough for the newer diver.
But that shop employee has a sac of .50 so...
RV = 20cuft.
BV = (3X.5X50) 75cuft.
RV+BV =
95cuft. That's why the 100cuft worked for them.
But, the diver asks, If I was using EAN would I need less gas? Would this change the calculation?
Sort of, says Fred, who is happy he is now thinking; it potentially eliminates 12cuft from the reserve (if his buddy is also on 32%) because a SS is now not mandatory and it somewhat reduces the risk of DCS if bolting. But why use EAN to extend a dive when you are limited by available volume? EAN would be nominally safer but the main issue is running out of air. Get the volume right and you will not need to bolt. Don't put the cart before the horse.
Oh... say's the new fellow, I'm not a putz after all. I just had no clue how to figure out what I needed to do the dive. I'm going to practice these calculations and make a preset chart for different depths and tank sizes.
Bingo!
Usually, without a Fred, this diver calls the dives early and feels embarrassed about being such an airhog and wonders if he is cut out for advanced diving after all. All it does is make him feel inadequate. If it persists he either buys a big tank and lugs it around on all his dives or sells his gear on craigsl_st.
Very occasionally he and his buddy are at the end of the dive, about to ascend, when one of them goes OOA. The other doesn't have enough reserve volume and they have a close call. They don't talk about that because it's embarrassing or it scares them and they quit diving altogether.
Very very occasionally they both drown at depth or embolize/suffer DCS when bolting to the surface.
Every diver should run into a Fred, whether he is a professional or not. That's one thing this board is good at. Just in this one thread a novice diver could talk to instructors, authors and experienced laymen/women who could explain exactly how to do rock bottom calculations, while having an ongoing peer review process to ensure accuracy of information. For free!