Hi Sunspace,
Just came across this thread while trawling for more info on man-made underground spaces.
I’m a geologist, and am studying soil and rock mechanics at the moment, so I thought I could add something to the existing replies.
The truth is that the answer to the question is that good old disappointment: “it depends”. I don’t know the absolute upper limit of an underground space that could be man-made in virgin rock, but it would depend on a lot of variables:
- the kind of rock that you’re excavating;
- the depth of the excavation below the surface;
- the major and minor principle regional stresses;
- the geometry of your excavation;
- how long you want the excavation to last;
- most importantly though, the frequency, orientation and geometry of the existing defects within the rock.
In hard rock, defects (like joints, faults, fractures, bedding planes etc) control the effective strength of the rock. You might have the strongest granite as your host rock, but if it’s fractured all over the place in random directions, then blocks of rock are going to fall out of the roof and the walls and make things much more difficult.
Thinking of trying to create a massive open chamber a la the Mines of Moria, it would be quite difficult to achieve. The regional stress fields that I mentioned come into play - there is a major principle stress direction, and a minor one. And they’re not simply a major vertical stress - as you might expect due to the weight of the overlying rock - with a minor horizontal stress. The major principle stress direction can often be closer to the horizontal plane than the vertical, but can be diagonal or anything in between. This is because of the tectonic forces pushing and pulling on the crust of the earth. So, when you open a hole inside a rock that is under imbalanced stresses, those stresses need to flow around this new excavation (they can’t be transmitted through air), and they end up concentrating around the edges of the excavation, which causes rock to burst out of the walls and roofs, and causes floors to heave upwards. The phenomena experienced all depends on the strength of the host rock to resist the concentrated stresses, the magnitude of those stresses in the first place, the shape of the excavation (circular is more stable than square/rectangular), and the use of reinforcing supports.
The cool thing about natural caves/chambers is that they’ve been created fluidly by erosion interacting with the regional stresses, so that the shape we see today is that which is dictated by the excavation moving towards equilibrium between those two forces.
And, then there’s the durability of the excavation - mines and the like might plan for quite a short life-span and cut things really close to the limit, so that they can extract the most material possible. An underground space for a nuclear reactor would be a completely different prospect, and might involve a lot of rock stabilisation techniques which - generally - will cover over the natural surface of the rock so that it looks like a uniform concrete surface (which, in my view, would detract a lot from the feeling of being underground, because it would look more like a bunker).
So, it’s not easy to answer your question definitively, except to say that it’s entirely dependent on the underground space that you want to build, and where you want to build it. While some natural spaces are huge, they’re not usually of the sort of geometry that humans would think of as useful, whereas if you excavate from scratch a nice regular underground rectangle for whatever purpose, be ready to fight the stresses and rockfall hazards, groundwater influx etc. Possibly the best middle ground - if your design allows for it - is to modify an existing cavern and adapt your design to it. It’s already undergone a lot of de-stressing, and might require relatively little reinforcement and support.
Sorry it’s vague, but I hope it’s helped give an appreciation for the sorts of problems controlling the issue.
Baz
P.S. I have a little idea stuck in my head that I’d like to try and create a rock mechanics model for something along the lines of the Great Hall in the Mines of Moria - see just how unrealistic (or otherwise) it might be. IF I ever do get around to it, I’ll post an update on here 