Half Life = "M" ?

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When I first started with PADI 20+ years back, we used the Navy Tables that were based on 5, 10, 20, 40, 80 and 120 min half time tissue compartments. They reasoned the worse case scenario is your 120 min compartment will take the longest to off gas; so if you wanted to dive again, you better check the 120 min compartment. As such the old Navy Tables had much longer surface intervals.

But recreational folk do not dive like the ¡§Navy¡¨, and there suppose to be no decompression dives, and most dives were under 60 min. So from there, some guy proposed to use the 60 min compartment to control off gassing. As such we now have much shorter surface intervals. Human subjects were also used to confirm these new tables with the Doppler machine.
 
Dear Readers:

Half Times

These are exactly the same concept that you have probably encountered before with radioisotopes and their decay. The loss of molecules, from 100%, is 50% [1 half time], 25% [2 half times], 12.5% [3 half times] and so forth. Addition of dissolved nitrogen from a compartment is the same. After six halftimes, the process is generally considered more or less complete.

In his initial studies of gas uptake, John Scott Haldane considered that a person would be saturated after about 30 minutes if blood flow was equal to all portions of the body. He knew, however, that blood flow was not everywhere equal. Thus, he proposed different tissue compartments, each having its own blood flow, and all being governed by this half time concept.

To explain the longest halftimes, Haldane postulated that nitrogen was being added to tissues containing considerable amounts of lipid (=fat). The longest “tissues” could therefore never become appreciably shorter than their initial value, no matter what the blood flow. (This does not appear to always be true.)

Supersaturation

Haldane knew that divers could surface from depths of 33 feet directly to the surface without decompression. Clearly, he thought, the nitrogen was being held in solution. That is, it was supersaturated - - and apparently, that supersaturation was stable. Bubbles would not form.

The other possibility was that only a very few gas bubbles were forming, and that these were essentially harmless if few in number. Haldane had no way of knowing that the second possibility was closer to the truth, since Doppler bubble detectors were three-quarters of a century into the future.

The permitted supersaturation was initially thought by Haldane to be almost 2:1 - - the supersaturation from 33 fsw [2 atm] to the surface [1 atm]. Haldane believed the “allowed supersaturation” was the same for all halftime “tissues.” As tables were extended to deeper depths and longer times, this was modified to allow bigger supersaturations for small halftime comportments (“fast tissues”), and less supersaturation for “slow tissues.”

M Values

To allow the calculation of decompression tables, Dr Robert Workman (US Navy) developed a table of “allowed supersaturations” for each different halftime “compartment“ and for each different depth of the decompression stops. These were the maximum pressures tolerated, and they were termed M values.

Almost all algorithms (= calculation methods) will employ M values as a concept somewhere. This concept implies that no bubbles are formed if the “allowable supersaturations” are never exceeded. This concept is not correct as demonstrated by Doppler bubble detect about thirty years ago. Bubbles indeed do form even in the absence of decompression sickness. These are the “silent bubbles” often referred to in the diving literature. “Two phase” decompression systems do not use the M value idea.

Halftimes and Repetitive Diving

The No-Decompression Limits are determined experimentally for each halftime. For recreational diving, they determine the maximum “allowed” no decompression times for each depth. The surface intervals and length of repetitive dives are governed by the gas washout halftime. There are different methods for determining the maximum dive time after a given surface interval. The method chosen by the US Navy is the Repetitive Dive Table with its letter groupings using the length of the surface interval. For maximum efficiency, it is necessary to determine what “compartment” is nearest to its maximum and use that halftime to determine the limit of the succeeding dive. In practice, it is too complicated and would need dive tables printed for each “compartment.” The US Navy simply chose to use the 120 minute “tissue” for off gassing since this would assure that all “compartments” that were shorter would be sufficiently desaturated. This would always work for all cases of decompression diving.

Recreational Repetitive Diving

In the case of recreational diving, decompression diving is not performed and the 120-minute “compartment” is too long. Ray Rogers thus noted that recreational divers would be better served by repetitive tables based on a 60-minute off gassing compartment. The PADI system was calculated on such a system, and the tests were performed to validate this concept.

Dive computers can calculate theoretical gas loads in all compartments and bypass the need for “Repetitive Dive Tables.” The calculation system (half times and maximum allowable pressures) is, however, the same. These calculation systems function only to track the gas loads and serve as a “map” for the partial pressures in your body. Tables do not ALLOW you to perform dives. They simply track and catalog the dissolved nitrogen. Only God and Mother Nature allow you to perform the dives. This is governed by the laws of physics.

Dr Deco :doctor:
 
Hello all ,
I must first admit that I am not familiar with the Padi tables .Are you allowed a maximum of three dives in a 24 hour period ?
If so if you where to exceed this and used the tables on a fourth dive would the tables not be accounting for the additional N2 retained in the slower compartments ( 7 - 14 ) which could possibly build up over multiple dives ?

The tables I have are Buhlmann's they state after 8 hours no more residual nitrogen , would this give a controlling compartment of 80 min ? There is compartment 8 with 77 min which would give 7.70 hours is this rounded up for convenience ?

Thanks Alban
 
Dear Alban:

PADI Tables

The PADI tables allow for more than three dives a day. Depending on how long and deep, you could make more than this. There are repetitive letter groups and these are based on the 60-minute halftime for nitrogen washout. If you perform more than some designated number of dives and that puts you in a category (I believe that it is X, Y or Z in the PADI scheme), then you need to revert to special ad hoc rules. These are added since the washout is log only in accordance with the 60-minute compartment, but, of course, all compartments are loading.

Buhlmann Tables

If these tables state that the diver is again in the ”base” state, then for this to occur in eight hours, the eighty-minute compartment would be the controlling one.

Limits

Do remember that the tables are designed such that the DCS rate of incidence is very low. It is a popular myth that tables is designed to be on the “edge” of “DCS/No DCS.” In reality, the probability and severity of DCS increases in a steady fashion as the “dose” of nitrogen is increased. There is not sharp cutoff. For this reason, all tables and meters operate well in the safe zone. It is for this reason that many different decompression schemes will be on the market. In practice, there is probably little difference between them. They all serve as “ROAD MAPS” to tell you where you are with respect to dissolved gas partial pressure in your body.

More likely than not, DCS is the result of something not considered in the tables. This might be vigorous, excessive activity at depth that loads the tissue compartments in ways not considered by the algorithm. Also, vigorous activity will generate tissue micronuclei that will radically change the off gassing and possibilities for DCS.

Dr Deco :doctor:
 
Thanks once again Doc , I will pick up some Padi tables to compare .

Yours Alban
 

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