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It is generally agreed that countries have sovereignty over their airspace but not over whatever part of outer space is above their territory. There are also international agreements about the range within which countries have sovereignty over territorial waters. How about underground? Is there any legal limit as to how far underground sovereignty lasts?

We can only drill to relatively shallow depths so it may not be much of a practical issue, but practical issues did not stop a bunch of non-spacefaring nations to sign the Moon treaty.

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  • Good question! No legal standards whatsoever based on preliminary surface googling. However, original legal theory was "everything below the earth and above the heavens" until advent of aviation; so it wouldn't surprise me that it extends all the way to the core, in a conus. – user4012 Oct 24 '17 at 19:27
  • @user4012 It would be interesting to find some sort of international treaty that covered this question, but I doubt it exists. I know that neighboring countries drilling sideways into their oil reserves has been a point of argument in the past (Kuwait, Iraq if memory serves, and in that case it was war that decided the dispute, probably due to a lack of international agreement regarding it). – Jack Of All Trades 234 Oct 24 '17 at 19:47
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    @user4012 Hmm... that would mean all countries of the world border each other! :-) – gerrit Oct 24 '17 at 19:58
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    The only situation I know of where it was a point of conflict is the slant-drilling accusation on the Iraq/Kuwait border. nytimes.com/1990/09/03/world/… Even without slant drilling it's not hard to see that an oil field might be tapped in one country and drain a reserve from a neighbor. Also called directional drilling. en.wikipedia.org/wiki/Directional_drilling – userLTK Oct 24 '17 at 20:38
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    Well, the Germans and the Dutch had a bit of a scuffle over the gas field underneath the Ems river, which crosses their border (and that was already disputed for a few centuries before the gas was discovered!) – MSalters Oct 24 '17 at 20:58
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Generally speaking, if you own the land (on a national level), you own everything underneath it. I can't find any precedent where that is untrue. For instance, Chile and Argentina have a treaty allowing mining operations to straddle their border in the Andes

In 1997, the presidents of Chile and Argentina signed the Mining Integration Treaty allowing mining development along the mountain range between the two countries, and made the Pascua Lama project possible.

The crust of the Earth is between 5km and 70km thick, and everything beneath that is unreachable/uninhabitable/unusable (i.e. it's near molten rock at least 500°C or more). Just like the Moon, there's no way to exploit something that far down (or that hot). Since it's already presumed that countries already own what is beneath them, it stands to reason that this would effectively stop at the mantle. Some data to consider along those lines

  • Most hydraulic fracturing drilling (fracking) happens around 2-3km
  • The US has drilled almost 10km down (exploratory oil well)
  • The Soviets drilled just over 12km, which is the deepest drilling ever undertaken (was thwarted by heat and then de-funded)

Since none of these are controversial politically, it's reasonable to assume that there are no practical limits on the depth of sovereignty, since nobody can reach the mantle with present technology

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    The Earth's mantle is hot, over 500*C as you say, but not molten. The mantle is pretty much solid except where magma is forming. Much deeper, the outer core is liquid, with a viscosity similar to water. – James K Oct 24 '17 at 20:59
  • @JamesK clarified – Machavity Oct 25 '17 at 13:40
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Machavity's answer is right to the point, the rights how the territority under the ground is national law and different for countries. The international border extends into the depth of the ground and needless to say, any attempt to cross the border is considered an aggressive act.

Some examples for the better understanding, starting with my own.
While I live in Hamburg, my native region is the Ruhr region in Germany which is severely undertunneled by former coal mining activity. German mining law is quite unique because ownership of land and mining right is separated. Any natural resources like oil, gas, metals, salt, even geothermal activity etc. (with the exception of sand, gravel, clay) do not belong the owner, but are considered ownerless until mined which needs a separate admission from the government (Some specific natural resources can even be only mined by the goverment which conveniently can transfer the rights). The owner cannot prevent mining under his ground, but has the right for compensation, especially if the mining activity cause damage.

enter image description here Image by Ziko C, 2008-05-23, CC BY-SA 3.0

You see those cracks right in the front? These are caused when the mine shafts are collapsing and cause a depression on the surface.

The owner could also get mining rights, but the good old German bureaucracy makes this a real pleasure (This was irony). What is now interesting that once the right of mining is acquired, the right goes to the ewige Teufe in German mining language, right down to the Earth core. So the depth you are exploiting is only limited by technical limitations.

Much more owner-friendly is the law in the Anglosphere, Commonwealth nations only reserve the rights for gold and silver, but give mining rights for a limited time. The US laws mostly acknowledge that the owner owns what is on his land, but reserve some exploitation rights for specific natural resources. Also all rights here are unlimited in depth.

French rights from the Code Napoleon/Code civil are a middle thing which shortened gives the owner all rights for surface resources, mining deeper resources must have the permission of the government.

One interesting situation concerning sovereignty:

CERN:
The very large particle acclerators and most of the structures are built underground and are crossing borders between Switzerland and France. The legal position is quite unique: The foundation members gave CERN as scientific organisation acess as UN observer status and the area is considered extraterritorial area.

Violations of soveignty also regularly occur because underground structures are much harder to detect. The political situation of the Iron Curtain showed many situations where tunneling was used to cross borders without consent.

The former GDR/FRG situation was a hotbed for such situations. Apart from the Cold war conflict between secret services by building tunnels into enemy territorities, most tunnels were attempted escape tunnels from the GDR into the FRG in Berlin. The most notable one was Tunnel 57, a secret tunnel in 12 m depth which allowed 57 persons to escape.

The GDR in return also had secretly build some tunnels under the border to easily smuggle material and agents over the border.

Image by Global Fish, 2012-04-28,CC BY-SA 3.0

The situation is still a current one between North and South Korea because North Korea build several well-hidden big attack tunnels in comparatively extreme depth (down to 140 m) penetrating South Korean territority. It is not known how many more are existing, but the existing ones show an impressive level of sophistication.

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