Update 1-1-2022: this article is now superseded by "Habitat Atmospheres and Long-Tern Health", posted 1-1-2022.
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This article takes on the best available information
regarding selection of pure oxygen space suit pressure levels, and how they relate to space habitation
atmosphere composition and fire dangers.
The previous related articles posted on this site all share the same
basic methodologies and calculation methods.
The fundamental methodology here is to calculate both
atmospheres and design criteria in terms of the wet in-lung partial pressure of
oxygen, which in turn is what actually
drives the diffusion of oxygen across the lung tissues into the blood.
In the earlier articles,
there were unresolved issues with “pre-breathe” (decompression) criteria,
and with fire danger criteria, that have since been resolved or
sidestepped. This article brings, as a new item, a “leak-down” suit pressure factor, and also brings additional supporting data
for the selected suit pressures, which
are lower than is typical of NASA practice today. Lower pressures make space suits more
comfortable to wear, and easier to
design.
Lists of the previous articles follow. The most recent, superseded by this one are:
“A Better
Version of the MCP Space Suit?” 11-23-2017
“Suits and Atmospheres for Space” 2-15-2016
Those two in turn superseded these earlier articles:
Space Suit
and Habitat Atmospheres” 11-17-2014
“On Orbit
Repair and Assembly Facility” 2-11-2014
“Fundamental Design Criteria for Alternative Space Suit
Approaches” 1-21-2011
The best way to find any of these is to use the date/title
navigation tool at the left. Click on
the desired year, then on the desired
month. If the article is not top of the
list (in view), click on its title.
To view any or all of the figures enlarged, click on any of the figures. You may then scroll through all of them in
enlarged format. Once done, you can return to the article by “X-ing-out”
of the enlarged figures screen.
Another way is to find one,
then click on the “space program” keyword. Then you will see only those articles with
that search keyword, which these all share. An alternative keyword is “space suit”, but I’m not sure that all of them share this
search keyword. The more recent ones
do, for sure.
Wet In-Lung
Oxygenation is Not the Oxygen Content of What You Breathe
Atmospheric pressure is easily determined versus altitude
using published atmosphere tables. It
doesn’t vary much from model to model.
The model used here is the US 1962 Standard Day, which for altitudes up to about 65,000
feet, is identical to the ICAO Standard
Day.
Air composition is fairly standard as follows. It is oxygen,
diluted with mostly nitrogen. The
largest trace ingredient is argon.
Whether given as fractions or percentages, these compositions are usually given in
volume format, which is also molar. True “synthetic air” is the two-gas mix of
oxygen and nitrogen, at the same oxygen
content as real air. Other ratios are
also feasible, for different
purposes. The standard air oxygen
content used for this article is 0.20946 = 20.946% by volume.
Gas Vol %
Oxygen 20.95
Nitrogen 78.09
Argon 0.93
Carbon
dioxide 0.03 (older figure, has since risen to 0.04)
Trace gases 0.018
or less
These figures are for dry air (no humidity). The presence of water vapor displaces dry
air, so that the total of their
pressures adds to the atmospheric pressure.
The water of interest here is that within the lungs, with liquid moisture present at body temperature. If one assumes the vapor is in equilibrium
with the warm liquid, then the vapor
pressure in the lungs is the standard steam table value at body temperature:
Pvap = 47.07 mm Hg = 0.061934
atm
at T = 37.0 C = 98.6 F (human body
temperature)
The oxygen partial pressure in the dry air is the dry air
pressure multiplied by the volume fraction of oxygen. In the atmosphere tables, the pressure ratio to standard sea level
pressure is numerically equal to the altitude pressure in atm. Dry air oxygen partial pressure, atm,
is thus 0.20946 * (P/PSL).
In Figure 1, oxygen
partial pressure in the dry air is plotted versus a wide range of
altitudes. To calculate wet in-lung
oxygen partial pressure, you reduce the
dry air pressure by the water vapor pressure,
then apply the oxygen fraction to that reduced value. Both are plotted in Figure 1. The difference between then becomes
increasingly significant as altitude increases,
because water vapor pressure depends on only body temperature, and is thus an ever-larger portion of the
atmospheric pressure as altitude increases.
There are several notes added to the figure. First is that US Navy pilots are required to
start using supplemental oxygen when they exceed 5000 feet altitude. Second is that USAF pilots, and FAA civilian pilots, must use supplemental oxygen when above
10,000 feet. In the civilian case, this is coupled with a time limit, so that oxygen is not required if above
10,000 feet, until the time is
exceeded. But oxygen is always required
if above 14,000 feet.
Also shown on the figure is the usual airliner cabin
pressure altitude practice, which is
10,000 to about 15,000 feet equivalent.
The 10,000 foot condition is rather close to the elevation of the city
of Leadville, Colorado (USA). The 15,000 foot condition is rather close to
the elevation of the city of Daocheng,
Sichuan (China). La Paz, Bolivia,
is not shown, but has an
elevation in the middle of the cabin pressure altitude range, at 13,323 feet. These are all cities where people live
perfectly normal lives.
Equivalent wet in-lung oxygen partial pressure is also shown
in the figure as the arrows A and B for the effects of a (vented) supplemental
oxygen mask at 40,000 feet, and at 45,000
feet, respectively. These masks seem quite adequate for long
flight times at 40,000 feet, for which
wet in-lung oxygen falls in the cabin pressure altitude range at just about
12,000 foot equivalent. They are
recommended only for short exposures at 45,000 feet, which seems about equivalent to 20,000
feet. Only a few genetically-adapted
herders live and work at this altitude,
in the Andes and the Himalayas.
Thus wet in-lung oxygen partial pressures equivalent to
15,000 feet or lower are quite consistent with standard high-altitude flying
practices.
The calculation for the two supplemental oxygen mask points
was a little different. The calculated
curves and some notes are given in Figure 2.
The big assumption was that 100% dry oxygen was in the mask, at the altitude atmospheric pressure. Offsetting this down by the vapor pressure
gives the wet in-lung oxygen partial pressure,
as given in the figure.
The assumption about 100% oxygen inside the mask is probably
pretty good at the higher altitudes, and
probably not so good at lower altitudes.
The pressure drop from the supply to the mask is high enough to ensure
choked flow somewhere in the equipment,
so that the delivered oxygen massflow is fixed, and thus independent of the delivered density
conditions in the mask.
The delivered density is lower at high altitudes, which for the same massflow is larger volume
flow. If that volume flow is large
enough, it overwhelms the effects of
imperfect sealing of the mask to the face,
and of the diluting effect of the exhaled gases. At those conditions, the mask is filled with very nearly pure
oxygen. This would certainly be the case
at the highest altitudes for which the mask is considered effective. Those would be long exposures at 40,000
feet, and short exposures as high as
45,000 feet. Military flying practice
requires pressure breathing equipment above those altitudes; effectively,
some kind of pressure suit.
It is these wet in-lung oxygen partial pressures from the
supplemental oxygen mask at 40,000 and 45,000 feet that was the objective
here. Those are the points A and B in
Figure 1 above. The possible error at
low altitudes is irrelevant to the discussions here.
Figure 2 – Wet In-Lung Oxygen from a Vented Pure-Oxygen
Mask, as a Function of Altitude
How to Use Altitude
Equivalence for Oxygen Suit Pressure Selection
Figures 3 and 4 show this process for two slightly-different
suit design pressures. You start with an
assumed design altitude in Earthly air (for which you can also figure its dry
oxygen partial pressure if you want, but
we don’t use that in this calculation),
and offset the ambient pressure down by the water vapor pressure, to the wet in-lung dry air partial
pressure. Use the oxygen fraction against
the dry air partial pressure to calculate the wet in-lung oxygen partial pressure. Use this wet in-lung oxygen partial pressure
as the wet in-lung result to be obtained by your suit. Add to it the water vapor pressure, and that is your dry oxygen suit pressure at
design conditions.
Then, ratio-down that
suit pressure by your leak-down margin factor (in this case 1.10) to the min
tolerable dry suit pressure. Offset that
down by the water vapor pressure to obtain the min tolerable wet in-lung oxygen
partial pressure. This needs to fall in
an acceptable range (generally that defined by the wet in-lung oxygen partial
pressure at cabin pressure altitudes, or
10,000-to-15,000 feet equivalent).
Now, divide that min
tolerable wet in-lung partial pressure of oxygen by the volume fraction of
oxygen in dry air, to obtain the wet
in-lung partial pressure of dry air. Add
to that the water vapor pressure to obtain the Earthly dry air pressure at
altitude. Reverse the table lookup to
determine the equivalent altitude for your min tolerable leak-down
condition. If you did this right, it will fall in the 10,000 to 15,000 foot
range of acceptable cabin pressure altitudes.
Figure 3 does this for an 8700 foot equivalent suit design at
0.2004 atm = 2.945 psia that leaks down by factor
1.10 to a 12,000 foot equivalent design at 0.1822 atm = 2.678 psia. Figure 4 does this for a 10,000 foot
equivalent suit design at 0.1930 atm = 2.836 psia that leaks down by 1.10 to an
equivalent 13,300 foot design at 0.1755 atm = 2.579 psia. Both fall within the cabin pressure altitude
range or lower, for acceptable wet
in-lung oxygen partial pressures, considered
adequate for pilots. The 13,300 foot
condition is also equivalent to the major city of La Paz, Bolivia,
to which tourists acclimatize very quickly.
Either design, or an
even-higher pressure design, are all
quite acceptable for life support and fully-functional human cognition in a
space suit. The lower pressures allow
easier suit design, and more comfortable
suits. So, unless there is an overriding need for higher
pressures, these lower pressure designs
are to be preferred.
Figure 4 – Relating Design and Leaked-Down Suit Oxygenation to Equivalent Air at Altitude: 10/13.3 kft
Relating Suit Design
Pressure to Two-Gas Habitat Atmospheres:
Fire Danger and Pre-Breathe Criteria
There are two issues that relate oxygen suit pressure to the
pressure and composition of a two-gas habitat atmosphere. One is the “pre-breathe” factor, the other is the enhanced fire danger posed
by a too-oxygen-enriched atmosphere.
The pre-breathe factor used by NASA was originally developed
for the US Navy, for oxygen-nitrogen
two-gas mixtures. If in the dry habitat
atmosphere the partial pressure of nitrogen is at or below factor 1.20 times
the pure oxygen suit pressure, then no
decompression time is needed breathing pure oxygen to blow off the nitrogen in
the blood. That decompression time is
the “pre-breathe time”.
As an example, for a
two-gas oxygen-nitrogen atmosphere at 1 atm pressure and 20.946% oxygen by
volume (“synthetic air” at 1 atm), the
nitrogen partial pressure is 0.79054 atm.
For a pure oxygen suit at 3.8-4.2 psia,
the dry oxygen partial pressure is 0.2586-.2858 atm. The ratio of nitrogen to suit oxygen pressures
is 3.057-2.766. This range of values far
exceeds the 1.20 criterion, so
significant hours of pre-breathe time are required. This is pretty much current NASA practice at
the ISS (space station).
In the earlier articles,
it was unknown to me whether that factor of 1.2 applied to individual
dilution gas partial pressures, or to
the aggregate sum of their partial pressures.
I still do not know, but I
sidestepped that issue entirely by only considering two-gas mixtures of oxygen
and nitrogen here.
It is also fairly obvious that reducing habitat atmosphere
pressure reduces the dilution gas partial pressure, thus reducing its ratio to suit oxygen
pressure. It is also fairly obvious that
increasing the oxygen fraction of the habitat atmosphere also reduces the
ratio. Thus, reduced habitat atmosphere pressures at
higher-than-Earthly oxygen content seems to be indicated for lowering or
eliminating pre-breathe times.
However, increasing
oxygen content runs afoul of enhanced fire danger. I have read of two ways to judge the fire
danger. One is that the percent (by
volume) oxygen for air pressures near 1 atm should be under 30% at most, and preferably nearer the 20.946% of ordinary
air.
Percent oxygen is independent of total pressure, but partial pressure of oxygen is not. The second way to judge the danger is a limit
on oxygen partial pressure, limited to about
sea level Earth normal.
After thinking about this,
I realized that the enhanced fire danger resulting from the enhanced
oxygen is really faster chemical reaction rates, leading to very much-accelerated phenomena
and enhanced energy release rates. For
an overall empirical model of a fuel-air chemical reaction rate, a second-order two-component one-step Arrhenius
model is often used:
Rate = k
Cf^r Co^(n-r) exp[Ea/RT]
where n ~ 2
and r ~ 1,
with Cf and Co measured as mass/vol
That suggests the real criterion might be the oxygen
concentration Co, expressed in mass per
unit volume units. If this concentration
were no worse than that of Earthly air,
then the fire reaction rates should be unaccelerated relative to those
seen in Earthly air. Both volume
fraction oxygen and atmosphere pressure get into this concentration
calculation.
The volume fractions of the two gases, and their molecular weights, give you the molecular weight of the
synthetic air mix:
MW-O2 *
vol frac O2 + MW-N2 * vol frac N2 = MW-air * 1
The molecular weight ratio and volume fraction of O2 give
you the mass fraction of the air that is oxygen:
(MW-O2
/ MW-air) * vol frac O2 = mass frac O2
Because the pressure ratio to standard pressure P/Pstd is
numerically the pressure in atm, you can
use the habitat pressure expressed this way, and its temperature, to correct standard air density to habitat
atmosphere conditions. The ignores the
difference between the synthetic air and actual air, but that is trivial:
Dens-hab
= density-std * (P/Pstd) * (Tstd/Thab)
Multiplying habitat density by the mass fraction of oxygen
gives you the oxygen concentration:
C-O2 =
dens-hab * mass frac O2 (suggested units
kg/cu.m)
For Earthly air at sea level pressure and standard
temperature, the density is 1.225
kg/cu.m, and the concentration of oxygen
is 0.275 kg/cu.m. If the habitat oxygen
concentration is that value or less, the
fire reaction speeds and energy release rates should be as slow (or slower)
than on Earth.
Now, using exactly
the pre-breathe limit factor of 1.20,
you want your habitat atmosphere to equal the selected value of suit dry
oxygen pressure, and so the habitat
nitrogen pressure is 1.2 times that oxygen pressure. That is the inherently-high oxygen volume
fraction of 1/(1 + 1.2) = 0.4545, but
the atmospheric pressures being considered here are well below sea level.
For a range of suit oxygen pressures from about 0.13 atm up
to about 0.24 atm, habitat pressures
vary strongly, and so does oxygen
concentration. This is shown in Figure
5. The note regarding “synthetic air”
refers to a synthetic Earthly air, at
20.946% oxygen, with the remainder all
nitrogen. The habitat atmospheres considered
here all have more oxygen content and less nitrogen content than a true
synthetic Earthly air.
Referring again to Figure 5,
the derived habitat atmospheres as a function of oxygen suit pressure
reach the Earthly oxygen concentration limit of 0.275 kg/cu.m at a suit
pressure of 0.2165 atm, and a habitat
atmosphere pressure of 0.4663 atm.
That’s your upper limit for fire reaction rates equal to Earthly rates
at sea level. It corresponds to a suit
pressure lower than current practices,
and 45.45% oxygen by volume in the habitat two-gas mix.
Note in Figure 5 that the volume percent-as-fire-criteria is
always violated, while in this pressure
range, the partial-pressure-of-oxygen
criterion is satisfied until you get very close to the concentration criterion
limit. Yet, it is these two items working together that
actually determine the concentration-driven reaction rates in the fire
chemistry. Thus it is oxygen concentration
that is the real fire danger criterion,
and it should not exceed sea level Earthly values, for fires not to exceed familiar Earthly
rates. By this criterion, you may actually have a slightly-higher suit
pressure than by the partial pressure criterion.
But you may not lower it without
triggering pre-breathe time requirements.
Figure 5 – Comparing Fire Danger Criteria from Increased
Oxygen Content
In view of that result,
what you really want to do is identify a minimum suit pressure design
that you want to accommodate, and use it
to set your habitat atmosphere.
That way, for that suit, and for any higher pressure designs, you will not trigger any pre-breathe
time. This is based on the design
pressure, not the factor-1.10
leaked-down pressure. This is shown in
Figure 6 for two candidate designs: the
8.7 kft equivalent “A”, and the 10 kft
equivalent “B”, with the habitat
atmosphere “set” by the lower-pressure 10 kft equivalent design. Both the 1.10 leak-down and 1.20 pre-breathe
factors were applied.
Doing this produced the results tabulated in the
figure: all the pre-breathe factors were
at, or under, 1.20,
all the way up to (and beyond) the “limit” suit design pressure of
0.2165 atm. There is nothing about this
selection which precludes suit pressures as high as current practice!
Note that the factor 1.10 leak-down points are also
shown. Decompression down to them is not
an issue; you will only be recompressing
from them up to habitat pressure.
Figure 6 – Relating Oxygen Suit Pressures to Habitat Synthetic Air Compositions Subject to Fire Safety
Final Results:
These were calculated with a spreadsheet, and are given in Figure 7. The habitat atmosphere data is given in the
upper part, and the data for the A and B
suit designs (design and leaked-down)in the lower part, along with the “limit” suit design (at design
only). Bear in mind that the habitat
atmosphere is a two-gas oxygen-nitrogen mix set at 45.45% volume percent
oxygen, it is fixed. Bear also in mind that still-higher suit
pressures, are also compatible with
this.
Figure 7 gives suit and habitat pressures in a variety of measurement
units for a variety of readers. Note
that the wet-in-lung partial pressure of oxygen in the habitat atmosphere is
identical to that from the min-pressure design suit (the 10 kft B design). This fell within the cabin pressure altitude
range considered adequate for a pilot’s cognition (10,000 feet, actually).
The habitat atmosphere is 0.4242 atm (6.420 psia), and 45.45% oxygen, the rest nitrogen. The lowest compatible (no pre-breathe required)
oxygen suit pressure is 0.1930 atm (2.836 psia), substantially lower than current NASA
practice (3.8-4.2 psia). Lower-pressure
suits might require pre-breathe time,
but no higher-pressure suit would require any.
This lowest compatible-pressure suit (at 146.7 mm Hg) is
also substantially reduced from the 1968-vintage experiments of Dr. Paul Webb
with his mechanical counterpressure (MCP) designs based on stretchable fabrics. His experiments back then used about 170-190
mm Hg as the suit pressure.
Under the conditions proposed here, such MCP designs are far more feasible. And,
conventional full pressure suits are far more comfortable, and easier to design.
Finally, the habitat
atmosphere calculates to have (at 25 C = 77 F) an oxygen concentration of 0.245
kg/cu.m (per Figure 6 above), which is
less that Earthly air at sea level pressure (0.275 kg/c.m). The fire danger in this habitat atmosphere
should be no worse than Earthly sea level air,
and might actually be slightly reduced,
in spite of the high oxygen percentage.
Figure 7 – Results for Recommended Suit Pressures and
Recommended Habitat Synthetic Air
Final Comments
What I propose here is a low-pressure habitat atmosphere
enriched in oxygen content, yet safe
enough in terms of fire danger, while
not requiring any pre-breathe time for pure oxygen space suits of suit pressure
far lower than current practice. Both
the habitat and the min-pressure suit design maintain the wet in-lung oxygen
partial pressure of Earthly air at an elevation of 10,000 feet, considered by most authorities as quite
adequate for pilot-level cognition. There
is no reason that explorer-type astronauts cannot make use of this in vehicles
and space stations located anywhere in the solar system.
Colonist-astronauts are different: there are decades of exposure, not just months or years, and there are the inherent (and so far
unknown) risks of pregnancy and child development. For that situation, I recommend that we “dance with who brung
us”: we evolved in Earthly-air at
elevations from sea level to around 15,000 feet.
We are genetically adapted to that. So use it.
I would recommend real synthetic air (20.946% by volume
oxygen, the rest nitrogen), at an equivalent pressure altitude not to
exceed about 10,000 feet. You will always have pre-breathe time to contend
with, when decompressing down to a
relatively low-pressure oxygen suit.
Recognize that, and just deal
with it.
A suggestion for “dealing with it”:
Those parts of the colony where pregnant women and young
children might be, should have oxygen-nitrogen
at 20.946% oxygen, and no less than the 10.11
psia that is equivalent to 10,000 feet elevation (0.1441 atm partial pressure
of oxygen, 0.5437 atm partial pressure
of nitrogen). That’s 0.1311 atm wet
in-lung partial pressure of oxygen, same as the min-pressure suit design.
Other parts of the colony could use the 45.45% oxygen mix at
6.24 psia (0.1930 atm partial pressure of oxygen, 0.2316 atm partial pressure of nitrogen). People using suits outside could decompress
from the 45%/6.24 psia blend without any pre-breathe time. That’s also 0.1311 atm wet in-lung partial
pressure of oxygen, same as the min-pressure
suit.
Everybody gets the same wet in-lung oxygen partial
pressure, whether in the habitat with
synthetic air at 10.11 psia, the enriched blend at 6.24 psia, or the min-pressure suit design at 2.84 psia. There’s no pre-breathe time for decompressing
to any higher-pressure suit designs,
although there would for yet-lower pressure designs.
Whether any pre-breathe decompression time is needed going
from the higher-pressure portion of the colony to the lower-pressure portion is
something still unknown to me. But the
change is rather modest, so any such decompression
time should also be modest.
If any readers actually know that answer, please weigh in with your comments!
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Update 10-31-2020:
I corrected one spelling error (was "sit" is supposed to be "suit"), and added a sketch (Figure 8) with the salient data on it for habitat and suit recommendations. This includes the recommended higher pressure/lower oxygen concentration for that region of the hab where pregnant women and young children might be located in more Earthlike conditions.
The rest is a lower pressure/higher oxygen region where workers often have to suit up and go outside. The two suit designs shown are compatible with that lower-pressure/higher-oxygen region for not needing any pre-breathe time. If you go lower in suit pressure, you will trigger pre-breathe time. If you go higher in suit pressure, there is little effect other than inconvenience in suit design and discomfort wearing it, as long as you do not increase the hab pressure.
The trip through the airlock from the higher pressure/lower oxygen region to the lower pressure/higher oxygen side is a pressure change of only 4-to-8 psi or so. This equates to a change in skin-diving depth of 8-to-16 feet. It would be highly unlikely that any sort of decompression is needed to go from one region to the other, since exposure time is unlimited, with no decompression, at depths up to 30 feet.
In the event of an emergency evacuation, risking a case of the bends is better than death; so you just go to the EVA airlock and don the suit and go, straight from the higher pressure/lower oxygen region. You can crank the suit pressure up to lessen the severity of the nitrogen pressure to suit pressure ratio.
For example, 79% nitrogen at 10.11 psia is just about 8 psi nitrogen partial pressure. If the suit pressure were cranked up to 6 psi, that's a ratio of only 1.33. You can likely get away with a short exposure like that. It'll be uncomfortable and very restrictive of movement, but it will get you to safety.
The point of the higher pressure/lower oxygen region was to provide long-term (!!!) a more Earthlike environment for pregnant women and developing children. Why fight the biology over providing the conditions in which we evolved? So we really do need to do this. And so we have to address the fact that such conditions are just not compatible with a pure oxygen suit without a pre-breathe time. My solution was two different regions in the hab.
Figure 8 -- Sketch of Final Recommendations