I don’t know, but given that ground-source heat pumps are one of the most efficient ways to heat a building, and this suggestion is just exactly that in reverse (pumping the heat into the ground instead of out of it), I’d imagine that it will not just “reach its heat capacity”. The heat would flow away just as it flows to a heat pump. If the entire earth reaches its heat capacity I think we’d have problems.
I don’t know, but given that ground-source heat pumps are one of the most efficient ways to heat a building, and this suggestion is just exactly that in reverse (pumping the heat into the ground instead of out of it), I’d imagine that it will not just “reach its heat capacity”. The heat would flow away just as it flows to a heat pump. If the entire earth reaches its heat capacity I think we’d have problems.