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GAIA Host Collective
In full operation inside the reactor the maximum surface temperature is about 600 deg F or a bit more than the boiling point of water at 2200 psia (lower for BWRs).
There is no practical theoritical limit on nuclear spent rod temperature but spent fuel assembly loses heat emissions exponentially.
In practice, high purity water is required to prevent corrosion and/or scaling and subsequent failure of the cladding.
Real-world spent fuel pools need external cooling for a few months after fresh spent fuel is added but soon reach an approximate equilibrium with their evironment. Water continues to be circulated but more to maintain purity and clarity than for heat removal.
Using spent nuclear fuel to extract kerogen is not feasible.
But you knew that.....
The vision if fuel rods plugged in the rock riminded me of the natural fission reactors that existed back in the time when U-235 was more abundant. I wonder if something similar could be feasible for oil shale, with kerogen acting as a moderator and a coolant, but this sounds too much a pie in the sky to contemplate with.
A safer bet would be a dedicated reactor producing steam or molten metal for the heaters.
Probably electrical heaters would be the method of choice but I'm sure both methods would need detailed engineering studies for the particular site before a clear decision would be made.
As to embedment of spent nuclear fuels in rock, Yucca Mountain spaced the assemblies to keep rock temps below 300 deg C (if memory serves) but it took decades to reach that temp. The key is that rock in mass is a poor conductor of heat.
Spent fuel assemblies give off heat of maybe 1 kW-thermal after a year or so. I suspect it would liquefy the kerogen but it would take decades and that would make it non-commercial. Plus you would be expected to retrieve the assemblies and move to someplace permanent.
Better to reprocess the spent fuel and return the unreacted uranium and plutonium to the power reactor fuel cycle.