Ok, so a Subterranean Heating Cooling System takes hot moist air from the top of a structure and runs it through the earth below to store heat, reversing the process in order to release the heat. The moisture in the air condenses, that phase change makes for a more efficient transfer of energy than an air to earth heat exchanger would otherwise produce.
Combine this with a rocket stove, with or without a bench, and perhaps the fan and tubes that make up the Subterranean Heating Cooling System will greatly increase the thermal mass available for a relatively small investment.
No problem, good questions. The systems actually are open to the
soil. That way the condensed water can go down into the soil. This along with high air flow, that is many exchanges of air per hour, seems to negate these problems.
I'm only armchairing on this one, I've never built any such device but they do seem relatively straightforward.
Check out this explination:
The addition of the hot air coming off of a rocket stoves barrel could change the equation.
I imagine it would make things dryer, which could have consequences for the cooling function of such a system.