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Date: Tue, 20 Apr 1999 01:18:43 +0200
From: Frank Riffel <frank.riffel@en*.co*>
To: Stuart Morrison <divebimbo@li*.fr*.co*.uk*>
CC: techdiver@aquanaut.com
Subject: Re: Closed-Circuit Rebreathers
Stuart Morrison wrote:

> I'm developing some software for use with closed-circuit rebreathers and I
> was hoping someone out there could double check my mathematics.
>
> The problem is:
>
> CCR's use a constant partial pressure. With a nitrox or heliox rebreather
> it is fairly easy to work out what gas a diver will actually be breathing.
> But if a diver is using trimix as a diluent gas, what is the actual gas mix
> he/she is breathing at a given depth.

For my understandign the key point is that the He/N2 ratio of the
diluent is constant all the time.

> For example, a diver plans a 90m (295ft) dive using a diluent gas of TX
> 13/45 and constant ppO2 of 1.3bar.

P=10bar ambient pressure
ppO2 = fO2*P = 1.3bar
ppN2 = fN2*P = 4.2bar
ppHe = fHe*P = 4.5bar

> Now if this diver ascends to 70m (230ft)
> the rebreather will add oxygen to the diluent in the loop to give a ppO2 of
> 1.3bar. Obviously, the actual gas mix being breathed has (approximately)
> 16% oxygen in it. But what is the new helium content?

In 70m we have an ambient pressure of 8 bar
ppO2 = 1.3bar as this is kept constant

P = ppO2 + ppN2 + ppHe => ppHe + ppN2 = P - ppO2 = Pinert
Pinert = 8 bar - 1.3bar = 6.7bar
ppN2 = fN2/(fN2+fHe)* Pinert = 42/(42+45)*6.7bar = 3.2bar
ppHe = fHe/(fN2+fHe) * Pinert = 45/(42+45)*6.7bar = 3.5bar

> What I really need to know is the actual formula; my software uses one
> method, but being a poor OC diver, I don't have a great deal of experience
> in CC equipment, so I'm not sure if it is correct. I'd appreciate any
> answers.

The formulas presented above are only right for the case that the He/N2 ratio
is the that of the diluent. This asumption may be wrong because the breathing
loop contained a diluent with another He/N2 ratio (ie. was not flushed).

Attention: The CO2 content (as well as the water vapor pressure) of the
breathing loop have an  influence on the inspirated intert gases, too!

Greetings,

Frank

P.S. I do not have any reabreather experiance but math and decompression
models are not new to me.



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