[The following is an excerpt from a letter to Allen Meece.]
[Updated 6 September 2002]
At less than full volume, the lift force of the VBP platform
is directly proportional to the number of moles of lift gas in the lift
cells. For a sealed zero pressure balloon in thermal equilibrium,
lifting some weight W will always require n.w. moles of lift gas. The number of moles trapped
is independent of cell pressure, volume or temperature, and the amount of
air displaced ultimately varies only with temperature. A balloon can
get by with less than n.w moles of lift gas only if it can
heat its lift gas above the temperature of the surrounding air. If the
lift cells trap less than n.w moles, a platform in
thermal equilibrium will fall.
Changing a lift cell requires deflating it. If the lift
gas inside is vented to the atmosphere and not replaced, the platform has less
than n.w moles and drops. The
lift gas remaining in the other cells won't stop this drop
down until the temperature starts to rise again below the thermocline, at
which point it is well into the layer of high force winds. Thus, the lift
gas must be replaced before the thermocline.
As the platform descends, the other lift cells will be
compressed. However, this won't accelerate the platform's fall because
their individual lift force will not decrease with compression. As long as
the pressure differential is zero and the balloon is roughly in thermal
equilibrium, the lift force exerted by a compressed lift cell remains the
same. This isn't enough to keep the platform at altitude, of course, but
because the volume of gas in them is reduced, there is extra room in the lift
cells for more gas. A partially compressed lift cell can be reinflated to
full volume at a lower altitude, adding extra moles of lift gas to the
configuration.
If it still retains both its integrity and concentration of
lift gas, gas from the cell to be deflated can be slowly pumped
into another cell. In this way, the total number of moles in the
platform's array won't change, and it will not lose significant bouyancy.
The free space under the shroud at full inflation is just large enough to
raise a nearly empty new lift cell (carrying just enough gas to raise itself and
little else) between the old ones, then pump out the old one into the new
one. Doing this without raising a new cell to hold the gas will require
compressing the gas in other cells beyond the zero-pressure state, which will
cause the platform to drop for a time. However, eventually the cells will
be compressed back into a zero pressure state at a lower altitude, at which
point the balloon will stabilize again. This can be done slowly enough
that the pressure differential never grows too high for the balloons to handle,
and the gas can be vented back into the new cell. A slow, controlled
descent over short distances can be done in this fashion.
Compressing a whole lift cell worth of gas is a job of work at
just 50mb. Fortunately, the pressure inside a cell need only be raised a
tiny amount to cause a change in altitude. Less than a millibar will
serve. This can be controlled rapidly with a relatively small compressed
air bladder, or accomplished over days using a small compressor.
A regular replacement schedule will help assure that the cells
do not wear our before being replaced. We'll have to work one out.
Trouble comes with poisoned and ruptured lift cells,
ones whose gas can't simply be shifted about but must be completely
replaced. Lift cells are so huge compared to their typical leaks and
losses that replacing them is almost wholly different from simply maintaining
their mixture day to day. Poisoned or dilluted lift gas would be the
problem encountered most often. If an intact lift cell receives a
regular trickle of new lift gas while used gas is slowly vented from
the bottom, then dillution should only be a problem if there is a hole in
the lift cell fabric for air to diffuse in. If its low enough to the keel,
we could even consider patching the rent fabric. A cell with a hole in it
needn't deflate unless there is a path for the lift gas to rise up through the
hole, but if that happens the cell will eventually deflate and must be
considered ruptured. Loss of lift through poisoning of the lift gas is a
slow process that may happen over days or weeks, but a ruptured lift cell may
lose lift catastrophically. A poisoned cell will usually be able to wait
for a crew to go out and replace it. A ruptured cell may require rapid
action that must be taken from inside the hab because there simply isn't time to
send a repair crew out before the platform falls from the sky.
Either case requires a source of replacement gas. For a
poisoned cell, the replacement gas is put into other cells or a new cell as the
poisoned one is slowly deflated. For a ruptured cell, the only place to
put the replacement gas may be the other cells.
Because of the timescale required for replacing the gas from a
ruptured cell, a rapid and ready flow of hydrogen is necessary. It must be
simple enough that it could be begun by remote control.
The tankage required to inflate an entire lift cell from
compressed gas cylinders is prohibitive. The VBP couldn't lift the tanks
required.
For the kind of emergency replacement we'd need upon
completely losing a lift cell, there are two options: a regular schedule of
complete replacement of a liquid hydrogen supply, ultimately carrying
up as much liquid hydrogen as any other supplies; or the
inclusion of sufficient ionic hydrides and water for emergency inflation.
Both have their problems.
Liquid hydrogen stores well if it can form a slush with
methane or some other gas. The large amount required for a cell
(>100kg) should retain its chill well over time. However,
there will still be significant losses over the course of a few months.
While a few dewars full of liquid hydrogen may be just the ticket for a planned
replacement of a lift cell and even for making up lost gas on short
notice, a single load can't stay in storage for months just in case we
have an emergency.
Solid ionic hydrides, particularly calcium hydride
(CaH2) and magnesium hydride (MgH2), are typically used to provide hydrogen sources for weather
balloons and other uses at remote locations. Upon adding water, they form
a hydroxide and release hydrogen gas & water vapor. The total
amount of hydride and water required is several tons for a single cell, with the
magnesium hydride being lighter by half but still at least 1.5 tons. Their
weight is discouraging, but we would end up lifting more liquid hydrogen than
hydride over time. The primary advantage of a
store of ionic hydride is that it would stay stored for years and all
that we would have to do is punch a button to use it. The primary
disadvantage is that the weight wouldn't end when we used it. Both
hydrides leave behind useless byproducts that weigh almost as much as they
do.
The primary advantage of liquid hydrogen is that our entire
replacement store can be carried up on the elevator, and we'll never have to
carry any down. The primary disadvantage is that we would have to carry up
our entire replacement store so often because there's never any to carry
down.
All in all, I believe we should choose the lesser of two evils
and go with replacing lift cell gas from a reserve of liquid hydrogen.
It's normal evaporative losses can be tapped for hydrogen replacement to
the cells, so we can at least get some use from the vast amounts we'd
otherwise vent. Keeping a large stash of it in preparation for
emergency replacements could thus reduce or eliminate the need for deriving
hydrogen from life support processes to maintain the gas mixture in the
cells.