Systems and Cost Analysis for Nuclear Subterrene Tunneling Machine (1973) [pdf]
osti.gov
osti.gov
It's not clear to me that melting is less energy intensive than digging (and all it's related machinery and material movement).
As an experiment, it would be fun to architect 2 designs. One that has a fancy microwave or thermal rock melting setup, one that has a traditional rock drilling approach, both powered by a nuclear power source. Add up the cost of ownership for both, and I'd bet the mechanical solution comes out on top.
One way to think of this is to just imagine the chemical bonds holding the rock together. Tricone drills and TBMs both just sheer the rock, the latter on a massive scale, which is only has to expend that localized bond energy, whereas melting all of it is massively inefficient even with good heat recovery.
One thing I've wondered is if a focused energy beam could just locally break the bonds in a way that'd produce pieces optimized (size, shape, etc.) for transport back through the tunnel. In this way the minimum of energy needs to be expended by reducing the linear distance of cutting.
However, energy beams still have to heat up the rock a lot to vaporize it, so this would still locally be less efficient than cold sheering that current methods use, so when you think about it, TBMs, etc. are actually doing pretty good.
This is a fancy way of saying that someone dug a tunnel through rock by repeatedly shooting at it with a tank.[0] This was found to be impractical due to the cost of gun powder.
However, a company has proposed a supersonic ramjet accelerator instead of a conventional gun to accomplish this. SCRAM accelerators use a specially shaped projectile that acts as a SCRAM jet when it's inside a tube full of fuel/oxidizer, which may be much cheaper than gun powder.[1] They have started to demonstrate fracturing rock walls with this approach.
An underground rocket is basically a specialized rocket nozzle pointed straight at the ground, the hot fast moving exhaust gases are able to excavate soil and rock. Speed up to 100 m/s through soil and 5 m/s through solid rock have been claimed. Here's a video of a missile being repurposed to do this[1].
I've read, although I forget where, that there were concerns the soviets could use this technique to quickly place a nuclear weapon under west germany as part of a nuclear first strike. I suspect these concerns were quite short lived
[0]https://en.wikipedia.org/wiki/Underground_rocket [1]https://www.youtube.com/watch?v=e7_tRmSIIEo
https://www.caranddriver.com/features/a15138374/stilling-the...
The Wikipedia article says meter/minute where it mentions those numbers, not meter/second.
There are a lot of issues today and coming in the near future, that thinking big and outside the box isn't just useful but potentially even a necessity!
Like a cursed Thomas the tank engine.