The section about Gas Matching in the PADI Tec Deep training states one should use the larger gas volume to control the reserve amount. (In the text they also assume the diver with higher SAC rate uses the larger tank, a point I'll return to at the end.) Specifically, it states:
Take the volume of the larger gas supply and divide by three. This is the amount that must be reserved by the diver with the smaller supply.
Other agencies (e.g., NSS-CDS, based on various other posts, including this one from @Capt Jim Wyatt ) hold that one should use the smaller gas volume to control penetration (and indirectly the reserve).
Consider two divers with equal SAC rates of 1.0 cuft/min and volumes of V1=198 cuft and V2=99 cuft for simplicity.
Under PADI:
Reserve = max(V1, V2) / 3 = 198/3 = 66 cuft
Available Penetration Vol = Non Reserve Gas / 2 = (Vi - Reserve) / 2 = [(198-66)/2 (99-66)/2] = [66 16] cuft for [Diver1 and Diver2]
Unsurprisingly, Diver 2 reaches turn pressure first after 16 minutes, both turn around, and then Murphy strikes at the worst time and Diver 1 loses their gas. (Diver 2 losing their gas isn't very interesting since the larger tank is working.) On that return, they each consume 16 cuft off Diver 2's tank.
They end the dive with 99-16-16-16 = 51 cuft in the working tank.
(Same answer for a better SAC rate, BTW.)
So a worst-case out of air share returns with more than half the initial volume of gas. Doesn't that seem... excessive? Yes, I know consumption will likely change on the exit, no dilly-dallying, probably exiting with flow, etc., but ignore all that and compare apples to apples with what seems to be the more widely used approach.
Under NSS-CDS:
Penetration Vol = min(V1, V2) / 3 = 33 cuft
Both divers hit turn pressure after 33 minutes when disaster strikes. They each consume 33 cuft during the exit
They end with 99-33-33-33 = 0 cuft.
(Thus the oft-cited rational for Thirds being an extremely aggressive penetration strategy.)
What about when SAC isn't equal? Consider when Diver 1 has 0.5 cuft/min SAC, and Diver 2 remains at 1.0 cuft/min and still hits turn pressure first (smaller tank/higher SAC).
On the surface, PADI's "larger volume dictates reserve" (implying a smaller penetration volume) and NSS-CDS's "smaller volume dictates penetration" might seem like equivalent means to the same end. Clearly, the ends are not the same except for very specific cases.
So which approach do you use? Or perhaps something different than these two?
What agency taught it to you?
Do you even worry about Gas Matching?
Do you think PADI overdoes the conservatism? Please, I don't wish to get into PADI bashing in general -- focus on the Gas Matching topic.
Any PADI folks have any insight into why they chose that approach?
I trained with PADI but will be switching to what seems to be the standard -- and easier -- method for these computations. If I want more conservatism, especially when buddy's SAC is comparable to mine, I'll arrange to return with current/flow or only penetrate to 4ths (or less).
Take the volume of the larger gas supply and divide by three. This is the amount that must be reserved by the diver with the smaller supply.
Other agencies (e.g., NSS-CDS, based on various other posts, including this one from @Capt Jim Wyatt ) hold that one should use the smaller gas volume to control penetration (and indirectly the reserve).
Consider two divers with equal SAC rates of 1.0 cuft/min and volumes of V1=198 cuft and V2=99 cuft for simplicity.
Under PADI:
Reserve = max(V1, V2) / 3 = 198/3 = 66 cuft
Available Penetration Vol = Non Reserve Gas / 2 = (Vi - Reserve) / 2 = [(198-66)/2 (99-66)/2] = [66 16] cuft for [Diver1 and Diver2]
Unsurprisingly, Diver 2 reaches turn pressure first after 16 minutes, both turn around, and then Murphy strikes at the worst time and Diver 1 loses their gas. (Diver 2 losing their gas isn't very interesting since the larger tank is working.) On that return, they each consume 16 cuft off Diver 2's tank.
They end the dive with 99-16-16-16 = 51 cuft in the working tank.
(Same answer for a better SAC rate, BTW.)
So a worst-case out of air share returns with more than half the initial volume of gas. Doesn't that seem... excessive? Yes, I know consumption will likely change on the exit, no dilly-dallying, probably exiting with flow, etc., but ignore all that and compare apples to apples with what seems to be the more widely used approach.
Under NSS-CDS:
Penetration Vol = min(V1, V2) / 3 = 33 cuft
Both divers hit turn pressure after 33 minutes when disaster strikes. They each consume 33 cuft during the exit
They end with 99-33-33-33 = 0 cuft.
(Thus the oft-cited rational for Thirds being an extremely aggressive penetration strategy.)
What about when SAC isn't equal? Consider when Diver 1 has 0.5 cuft/min SAC, and Diver 2 remains at 1.0 cuft/min and still hits turn pressure first (smaller tank/higher SAC).
- Under PADI, they exit with 99-16-16-8.5 = 59 cuft.
- Under NSS-CDS, they exit with 99-33-33-16.5 = 16 cuft. (Yes, it pays to dive with calmer buddies... if you can talk them into shorter bottom times!)
- Under PADI, Diver 1 hits turn pressure first after (99-66)/2/0.5 = 33 minutes and consuming 16.5 cuft. When the larger tank then dies, they end with 99-16.5-16.5-33 = 33 cuft.
- Under NSS-CDS, Diver 2 hits turn pressure first after 33 minutes and Diver 1 has consumed 16.5 cuft. When the larger tank then dies, they end with 99-16.5-16.5-33 = 33 cuft.
On the surface, PADI's "larger volume dictates reserve" (implying a smaller penetration volume) and NSS-CDS's "smaller volume dictates penetration" might seem like equivalent means to the same end. Clearly, the ends are not the same except for very specific cases.
So which approach do you use? Or perhaps something different than these two?
What agency taught it to you?
Do you even worry about Gas Matching?
Do you think PADI overdoes the conservatism? Please, I don't wish to get into PADI bashing in general -- focus on the Gas Matching topic.
Any PADI folks have any insight into why they chose that approach?
I trained with PADI but will be switching to what seems to be the standard -- and easier -- method for these computations. If I want more conservatism, especially when buddy's SAC is comparable to mine, I'll arrange to return with current/flow or only penetrate to 4ths (or less).