oh, one other thing that comes up with the discussion of half depth. Half depth is a completely idiotic representation of a theoretically good idea for decompression. They do that because in the US, it is very difficult for us to comprehend the metric system in our head so instead of what is a good idea of "half pressure" they take that to something "easy" and use it as half depth.
300ft is 10ata. Half depth is 150ft or 5.5ata. Half pressure however is 130ft. Much close to what your ascent profile is likely to have for your first stop.
Following half depth, your stops would be 150, 75, 40, 20, 10, surface
Following half pressure, they would be 130, 50, 25 *usually done at 30ft, then 20ft to get on O2*, 12, surface
You can see that with half pressure, which if you think about it makes much more sense than half depth from a physics perspective. You double the bubble size, then let them stabilize, repeat as necessary. Adjust those stops a little bit if you want/need to for the standard deco gases if you want to use them, or adjust your deco gases to accommodate those depths, but no matter how you spin it, half depth stops make absolutely no sense. . .
That's not a correct understanding or fair criticism of the motivation for deep stops in Ratio Deco. Here is the "sense" behind the half-depth min deco one minute stops, and general premise for deep stops in RD as well (and we all are aware the implications of the NEDU DeepStops Study with regards to slow tissue supersaturation from such a profile in technical staged decompression diving -a fair & valid criticism- so let's not rehash that aspect too much here). The basis and rationale seems sensible -explain then why the following is "an idiotic representation of a theoretically good idea for decompression":
From UTD's Student & Diver Procedures Manual v2.0 (abridged):
To understand our [Ratio Deco] Deep Stop strategy, we must understand MAX DECO, and to understand that we start by looking at the dissolved gas theory, or the Buhlmann Model.
The Buhlmann Model is a theoretical dissolved gas model in which you have 16 half-time compartments. From the fastest compartment @five minute half times, to the slowest @240 minute half-times. These compartments load and unload inert gases in an exponential manner, or in a "half-life" theory, meaning that they load or unload 50% in the first of the six time segments. Then 50% of the remaining 50%, so essentially an additional 25% in the next time segment, and then 50% of the remaining 25%, so an additional 12.5%, and so on until the tissues in that particular time compartment reach saturation or desaturation in the 6 half-lives. In the Ratio Deco Strategy, we consider the tissues to be saturated or desaturated when they reach 97%, so we use five half-times instead of six.
The compartments are named after their "half-times", so the fastest compartment is the five-minute compartment, and according to the Buhlmann Model it will take 30 minutes to saturate or desaturate that five minute compartment, 25 minutes according to Ratio Deco implementation of five half times. Then the next fastest compartment is the 10-minute compartment, then the 15-minute compartment, and so on.
So for our purposes of creating the Proper Ascent Profile we need to initially determine our "Deep Stop" protocols. In order to do this we will look at the first five tissue compartments: 5-minute, 10-minute, 15-minute, 20-minute, and 30-minute compartments; these are considered as the fast tissue compartments, the ones we start to unload first. In the deep part of the deco these compartments will be used to determine deep stop depths and time to ensure they are allowed to off-gas properly.
For desaturation we will look at the fastest compartment first, the 5-minute compartment, and then the next fastest compartment and so on. For saturation purposes, we will look at the slowest compartment. The slowest of these fast tissue compartments is the 30-minute compartment, which will take 150 minutes to saturate and desaturate according to our Ratio Deco method. . .
Now these five fast tissue half-time compartments will also have a "Max Stop" depth. This is considered to be the depth at which the compartment will first start to unload or desaturate. In other words, when you are on the bottom, you are saturating the compartments at different rates and they are reaching different levels of saturation. For example, after a 10 minute bottom time, the 5-minute compartment will have gone through two half-lives and will be saturated to 75% of ambient pressure. The 10 minute compartment will have gone through one half-life and therefore it will be at 50% saturation of ambient pressure, and the 15-minute compartment will be less than 50% of ambient pressure.
When you start your ascent, you will not start unloading these compartments immediately, as the ambient pressure will be greater than the dissolved gas pressure in each of the compartments. However, at some point during the ascent the ambient pressure becomes less than the dissolved pressure in a particular compartment, and that compartment starts to unload, or desaturate, or decompress. We call this the "Max Stop" depth of that compartment.
As you continue to ascend, the difference in pressure between the saturated gas in that tissue compartment and the ambient pressure is called the driving gradient. The greater the difference, the greater the gradient, and the more you off-gas.
However, at some point the gradient becomes too great and the inert gas no longer comes out of the tissues as molecules, but it starts to bubble. This point is called the Critical Tension or M-Value in Buhlmann's Model.
The idea of the Buhlmann Model is that you can ascend all the way until you reach the M-Value, so you would ascend past the Max Stop depth, start off-gassing, and continue ascending, driving the gradient steeper, therefore maximizing the off-gas speed until you reached the M-value, and then you would stop, not crossing the M-value depth, and therefore not bubbling. Theoretically this maximizes the difference in pressure between the dissolved gas in the tissue and the ambient pressure, "driving the gradient&" and maximizing the off-gas rate without bubbling.
But now we know this is not the case. Bubbles are formed much earlier in the ascent, and this is a shortcoming of Buhlmann's Model (it penalizes for deep stops for which current dual phase models like VPM and RGBM factor them in to reduce the driving gradient, and prevent bubble nuclei/seed growth). What is important is not to get confused between Max Stop depth and M-Value: Max Stop is when you first start to off-gas, and M-Value is when you first theoretically start to bubble.
So once again, in designing our Proper Ascent Profile for our Ratio Deco ascent profile, let's figure out where we want to make our first stop. We already know that stopping at the M-Value line is not good, as we bubble much sooner than the M-Value line predicts, and therefore those bubbles grow in size and frequency requiring us to stop much longer and shallower; it is much harder to decompress from a bigger and more frequent bubbles than from a smaller and less frequent bubble. This harder decompression is what we colloquially call the "Bend and Treat" method.
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