Saturday, April 20, 2013

Lance's Nitrox Notes


Lance’s Nitrox Notes

Some readers have asked for my Nitrox notes. So here they are:

What is Nitrox and how is it different from air?
Air: 21% O2 79%N. Therefore air is Nitrox (NO2). But for our purposes diving Nitrox has between 22% and 40% O2.
O2 is actively metabolized by the body while N is inert and always being absorbed by the tissues of the body (blood is a tissue). More N gets absorbed during diving and this is directly related to the risk of DCS and is a critical factor in determine dive depths and times.
Advantages of Nitrox
Due to the depleted N:
·         Nitrox may allow for extended bottoms times compared to air at the same depth
·         Nitrox may provide decreased surface interval times allowing for more dives to be completed in the same time period compared to air.
·         Nitrox may decrease the risk of DCS due to the decrease N in the breathing gas.
·         Nitrox may decrease the no fly time incurred by diving air.
Other Names
·         NO2
·         EAN 32 or EAN 36 (The two most commonly used blends.)
·         NOAA I and NOAA II
·         De-Nitogenated  Air
·         Safe Air
·         Oxygen Enriched Air or Enriched Air
(Experiments with Nitrox started in the 1800s but it was NOAA and the US Navy which made is a useful dive tool. It was not until 1995 that is Nitrox was widely accepted by recreational training organizations.)
Principals of Pressure
1.      Ambient Pressure is the force pressing on an object, diver or gas. At the surface of the ocean we have the weight of the atmosphere pressing downward on us. It is measured in the metric system as 1 bar equivalent to 1 Kilogram per sq cm. The Imperial System abbreviates it as 1 atm equivalent to 14.7 psi. For practical purposes these are considered equal.
While at depth the diver must take into account both the weight of the atmosphere and the water. Because water is much denser than air even very minor adjustments in depth will make significant changes in pressure. The total weight of the atmosphere and water are known as absolute pressure or ambient pressure.



Rather than thinking in depth it is advantageous to think in pressure. (All depths represent depth in seawater.)

Depth-Pressure Relationship
(Increments based on Pressure)
Depth
Pressure
Metric
Imperial
bar/atm
0 m
O ft
1/1
10 m
33 ft
2/2
20 m
66 ft
3/3
30 m
99 ft
4/4
40 m
132 ft
5/5

The above table is useful for increments equal to one atm. But we do not dive at these preset depths.
Depth to Pressure Calculations

As we are used to Imperial Calculations I will present in that format.

Remember 33 feet of sea water = to 1 atm PLUS the atmosphere itself. So simply divide the depth by 33 and add one for the atmosphere.

P = (D/33) + 1
P = (99/33) +1 = 4 atm

Pressure to Depth Calculations
Pressure to Depth Calculations are just a straight forward; just take a way 1 from your pressure and multiply by 33 to find your depth.

D = (P-1) x 33
D = (4-1) x 33 = 99 feet

Boyle’s Law

This is the first law that a Nitrox diver should understand. Boyle’s Law describes the affect of ambient pressure on a diver’s breathing gas. Simply stated; the volume of a gas in a flexible container is inversely proportional to the pressure being exerted on the container. It is important to note here the amount of gas molecules remains constant in the container.
A simple example of Boyle’s Law may be demonstrated like this: If the pressure on a flexible container is doubled the volume will be halved. Conversely, if the pressure is halved, the volume will double. Divers usually think of this in terms of over expansion injuries. Nitrox divers need to think about Boyle’s Law in terms of on and off gassing (which is pressure dependent).
Boyle’s Law can be mathematically expressed as:

P1V1=P2V2
Where the subscript is used to designate the beginning and ending values of Pressure and Volume.


Pressure-Volume-Density Relationship
Depth
Pressure
Volume
Density
Metric
 Imperial
Bar/atm


0 m
0 ft
1/1
1
x1
10 m
33 ft
2/2
1/2
x2
20 m
66 ft
3/3
1/3
x3
30 m
99 ft
4/4
1/4
x4
40 m
132 ft
5/5
1/5
x5


An important fact that is being demonstrated is; in a gas filled flexible container, the pressure of the gas inside the container is equal to the ambient pressure outside the container. It is this homeostatic nature that allows gas to expand and contract. And of course, Bole’s Law has no effect in a ridged container, such as a SCUBA cylinder.
The tissues of the body are largely a non-compressible liquid, and are not directly impacted by Boyle’s Law. The lungs and connected spaces are a flexible container. The instant the gas leaves the regulator it becomes subject to Boyle’s Law. For Nitrox divers, the most important issue is the gas inside the diver’s lung will be equal to the ambient pressure surrounding the diver.

Dalton’s Law

For the Nitrox diver, Dalton’s law tells us each individual gas in a mixture has its own specific pressure. This is called the Partial Pressure and for oxygen is abbreviated PO2 and for nitrogen PN2.  Pressure is expressed in terms of atmospheric pressure as bar or atm.

Dalton demonstrated the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures exerted by the sum of the total gases in the mixture. And each component gas accounts for its fraction of the total pressure, in direct proportion to the fraction of that gas present in the total mixture.  In other words; in a Nitrox mixture of 32% oxygen and 68% nitrogen the oxygen exerts 32% of the pressure and nitrogen exerts 68%of the pressure. In a SCUBA cylinder of EAN 32 at 3,000 psi oxygen exerts 320 psi and nitrogen 680 psi. This is expressed as FO2 and PN2.
The other important part of Dalton’s Law for divers is; gases will move to an even pressure throughout a space. That is they move from an area of higher partial pressure to equalize with an area of lower partial pressure until the gases are equally co-mingled.
Understanding these two aspects is important for the discussion on Henry’s Law and membrane pressure gradients.




Partial Pressures of EAN 32
Depth
Pressure
PO2
PN2
Metric
Imperial
Bar/atm
Bar/atm
Far/atm
0 m
0 ft
1
.32
.68
10 m
33 ft
2
.64
1.36
20 m
66 ft
3
.96
2.04
30 m
99 ft
4
1.28
2.72
40 m
132 ft
5
1.60
3.40


While the fraction of a gas in a mixture remains constant in a mixture, its partial pressure varies dramatically.
·         As you can see in the table above partial pressure of oxygen, in a flexible container, at 3 atm is roughly equivalent to breathing 100%oxygen at the surface when using EAN 32.
·         Breathing EAN 32 at 3 atm is approximately doubling the amount of nitrogen compared to the surface.
If we were to look at air on the same table we would see that the oxygen exposure reaches an approximate equivalent of 100% at approximately 5 atm. Nitrogen exposure from air at 3 atm is roughly equivalent to the nitrogen exposure of EAN 32 at 4 atm.
This is the key to the advantages of using Nitrox. There is simply less nitrogen exposure at depth with Nitrox than with air. Therefore the physiological effect of nitrogen at depth is diminished.
Determining the Partial Pressure of a Gas


Simply multiply the total partial by the fraction of the gas. (G represents the gas e.g. oxygen or nitrogen.)

PO2 = P x FO2 ~or~ PN2 = P x PN2

Henry’s Law

Henry’s Law illustrates the mechanisms by which gas moves in and out of tissues of a diver’s body. Henry discovered the specific quantity of gas that will dissolves into a liquid is dependent on two factors:
1.      The partial Pressure of the gas
2.      The coefficient of that gas in a particular liquid (This coefficient is a mathematical variable that demonstrates different liquids absorb the same gas, into solution at different rates and in different quantities.)
According to Henry’s Law, when a partial pressure of a gas is increased, additional gas will be dissolved into the liquid. This happens where the gas comes into contact with the liquid, normally with the surface of the liquid or through a membrane such as an alveolar wall. This takes time. Where there is a chemical interaction the time can be significantly shorter. The actual rate will vary depending on the pressure gradient. (This is the difference in partial pressure in the gaseous gas and the dissolved gas.)
As long as the total partial pressure remains constant, any sudden change in the partial pressure of an individual gas will merely accelerate the on-gassing or off-gassing. However, if there is a sudden decrease in the total pressure exerted upon a liquid, it may cause some of the dissolved inert gas to come out of solution while still within the liquid and from bubbles.
The solubility of any gas in liquid is directly proportional to the pressure exerted on it. When the pressure is doubled, the amount of gas that can be dissolved is also doubled.
Gas Solubility in a Liquid
Partial Pressure of Gas
Maximum Quantity of Gas
bar/atm
In solution
1
x1
2
x2
3
x3
4
x4
5
x5

Gas Dynamics

Gases continually travel between our lungs and tissues, transported by the blood, moving from areas of higher partial pressure to lower partial pressure. They are effectually following the laws of physics seeking to equalize their own partial pressure.
The gases enter the blood stream via the lung’s alveoli, and are transported to tissues where the lower partial pressure of the gas “draws” the newly arriving gas in. When the partial pressure of the gas in the blood is less than that of the tissues the gas is drawn into the blood and exits the body via the same alveolar pathway. This off gassing will begin to occur at some point during the diver’s accent to the surface and will continue until there is no longer a pressure gradient between the diver’s tissues and the ambient partial pressure of the gas.

Nitrogen Dynamics

Nitrogen is not used by the body in any fashion. It is merely absorbed by tissues according to the laws of physics. When a diver spends sufficient time at sea level (1atm) the partial pressure of nitrogen in the his tissues will equalize to 1 atm. This is referred to as “saturated”. That is, the tissues have absorbed all the nitrogen possible under these circumstances.
When the diver descends, the partial pressure of nitrogen will increase with depth. It will be greater in the lung space than the blood creating a pressure gradient. Now the “on gassing” process will begin. The amount of on gassing will depend on the depth and time of the dive. If the diver was to stay a given depth sufficiently long, the partial pressure of nitrogen in his tissues will equalize with the ambient partial pressure of nitrogen, and again, he will be “saturated”. In the case of tissue saturation, off gassing will immediately begin when the ambient partial pressure of nitrogen is less than the partial pressure in the diver’s tissues. This is why there is a “no fly time” after diving.  Most aircraft are pressurized to equal an 8,000 foot elevation. That is approximately equal to ¼ atm or 8.25 feet of sea water. (It is a difficult to be exact because 3/4of the earth’s atmospheric mass is within 36,000 feet while the upper boundaries of the atmosphere are approximately 400 miles with no definite boundary with space!)
Decompression Sickness

At the end of every dive the diver is “super-saturated”. That is, he is carrying more nitrogen in his tissues than the ambient partial pressure. … He is not done off gassing. There is a limit to the body’s ability to carry this excess nitrogen in tissues. This is where the dive tables and computers come in. Generally, staying within these parameters will prevent DCS.
DCS occurs when the partial pressure of nitrogen absorbed nitrogen is suddenly greater than the ambient partial pressure of nitrogen. The time for nitrogen to cross membranes and exit the body is insufficient for the partial pressures to equalize. Now the laws of physics cause the nitrogen to come out of solution into its gaseous state. At first, the smallest amounts of gaseous nitrogen begin to form micronuclei. As the micronuclei bump into each other they eventually form bubbles. These bubbles cannot escape the tissues and become lodge therein. These bubbles may interfere with bodily functions causing symptoms.  This is Decompression Sickness.
There are predisposing factors to DCS which make predicting it very difficult. They include: body fat (not just obesity), dehydration (your body needs fluids to carry the gases), elevated Carbon dioxide levels (from working hard on a dive or poor lung function from smoking or other lung disease), old age and diminished fitness.
Oxygen Dynamics
The movement of oxygen from your lungs to your tissues is completely dependent on pressure gradients created by partial pressures. Oxygen is readily metabolized by your body and is completely vital. It is accordingly very difficult to saturate your tissues with oxygen. Because the byproducts of these metabolic process are CO2 and H2O,  pressure gradient for oxygen is towards the tissues. Due to the lack of CO2 in our breathing gas, its pressure gradient carries it out of the body.

Haldane’s Theory
The British scientist was approached by the Royal Navy to come up with depth and time limits for the Royal “Hard Hat” divers. Haldane theorized nitrogen loading by creating multiple “compartments” that load and unload (on gas and off gas) in half times. A half time here is the time, in minuets, it takes for a compartment to go for the starting saturation half way to a new saturation based on the new depth. This is an exponential progressing. Haldane used algorithms mimic the tissues absorption. As it turns out he was pretty darn accurate. His work is the bases today for all decompression theory, dive tables and computers. I have included the tables showing his original half life theory.



60 Minuet Compartment
On Gassing
Elapsed Time
On Gassing Completed
Start
0%
1 Hr
50%
2 Hrs
75%
3 Hrs
87.5%
4 Hrs
93.8%
5Hrs
96.9%
6 Hrs
98.5%

5 Minuet Compartment On Gassing
Elapsed Time
On Gassing Completed
Start
0%
5 Minuets
50%
15 Minuets
75%
20 Minuets
87.5%
25 Minuets
93.8%
30 Minuets
96.9%
35 Minuets
98.5%

Maximum Operating Depth: MOD
(Calculation for MOD)
For CNS exposure of 1.5 max on EAN 32
Oxygen Partial Pressure ÷ FO2 =
Pressure in ATA (Bar)
1.5 ÷ 0.32 = 4.6875 ata (bar)
(Pressure in ATA - 1) × 33ft = MOD in feet
(4.6875 - 1) × 33 = 122 fsw
(Pressure in Bar - 1) × 10m = MOD in meters
(4.6875 - 1) × 10 = 37 msw