How far underground, assuming we're talking about a secret underground "living area", could be hospitable for human life assuming you don't want to hit the mantle? Would there be a pressure difference, and if so, what equipment would be required at such a level? Would it be too hot or too cold down there?
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3$\begingroup$ AFAIK, deep coal mines are hot enough (e.g. > 40°C) to be not really "livable" areas $\endgroup$– Basile StarynkevitchFeb 6, 2016 at 21:49
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1$\begingroup$ Food and breathable air would be major limitations. $\endgroup$– k-lFeb 6, 2016 at 21:59
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1$\begingroup$ This pretty much covers it. what-if.xkcd.com/135 $\endgroup$– JamesFeb 6, 2016 at 22:13
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$\begingroup$ Also. Welcome to the site. $\endgroup$– JamesFeb 6, 2016 at 22:14
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$\begingroup$ Thanks for your answers guys! Pretty much what I needed. Thanks. $\endgroup$– VertexFeb 6, 2016 at 22:44
2 Answers
Heat based limit
The TauTona Mine is the deepest mine on the Earth. It is a gold mine.
Tip of the TauTona mine iceberg:
Characteristics
- Depth - 2.4 miles
- Ambient Air Temperature - 55C (131 F)
- Rock Face Temperature - 60C (140 F)
If the air conditioning stops working, the ambient air temperature can kill the miners. On average 5 miners die every year in this mine.
I assume that without active cooling, this is below the lowest inhabitable depth.
Less than 2 miles of depth
Oxygen/Carbon Dioxide Based Limit
Underground there's very limited life able to convert our wastes ($CO_2$, urine, & feces) back into forms that we can use. Although we have many mines located a mile or more below ground, all of these require air exchange to keep humans alive.
Active
Very deep & active mines require the use of active system to exchange air with the surface (e.g. fans & blowers) to keep the miners from suffocating. If your blowers stopped working for more than an hour or so, expect your population to begin suffocating.
If you assume an active air handling system that never suffers failures, then keeping the air fresh is:
Not a limiting factor
Passive
It should be possible to create a passive air exchange system using the dynamic pressure of wind passing over special chimneys and other techniques to exchange air with the surface, this probably limits the depth of the mine too.
Without actually modeling such a system, I don't really know what the limit would be. One unfortunate fact is that $CO_2$ gas is heavier than $O_2$, so it will tend to settle to the bottom of your hole.
If you assume a passive air handling system, then you're limited by the volume and forces such passive system can generate. The exact answer will depend strongly upon the details of the configuration so I can't give you an exact answer.
Unknown, but I would guess less than 1 mile
Closed Loop Life Support
If you built your secret place more like a permanent space colony which only needed the input of energy to keep it going, then this wouldn't be an issue. However, it does point back to the first part of the answer in which you still need to find a heat sink to keep the place livable.
Getting energy isn't a problem, however, dumping your waste heat will become a problem at depth. My guess is the limits of your ability to dump waste heat will require you to limit your maximum depth even more than the open-loop environmental systems would.
A closed-loop life support system would ensure that you would not need to place your secret hidey hole near the surface to maintain a supply of fresh air.
My guess is 1 mile < your maximum depth < 2 miles
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$\begingroup$ Hot iceberg? Strange thing to call it. It's not 10% above ground either. So what's the reference? $\endgroup$– JDługoszMar 2, 2016 at 16:07
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$\begingroup$ "Hot iceberg" isn't in my answer. Was this a comment for another question/answer? $\endgroup$– Jim2BMar 2, 2016 at 16:14
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$\begingroup$ Ah, I used the term "iceberg" as in "10% is visible while 90% is hidden". Although with this mine that's a significant understatement. Very little of the mine is visible from the surface - but even that little bit is damned impressive. $\endgroup$– Jim2BMar 2, 2016 at 16:15
At least 11km
The main problem is going to be heat. Why not then use the largest naturally occurring source for cooling, the ocean?
The Mariana Trench is almost 11 kilometres deep, making the surrounding rock stay cool, so if you burrow your base only a little further down than that, the temperature is not going to be a problem.
A pressure-resistant habitat can survive the pressure, as proven by the descent into the trench by Jacques Piccard in 1960, or more recently by James Cameron in Deapsee Challenger in 2012.