Yeah thats exactly the issue I ran into. I started googling stable soil temp to confirm what I thought, and rapidly ran into a lack of answers lol. Any data I could find for free on websites didn’t seem to go very deep.
In terms of depth of the Qanats, yeah I was wondering the same. Without any modern tools I’m not sure how deep they would be willing to dig out (although I bet it’s easy digging in Iran, likely sand/dry dirt vs. clay and sopping wet boggy soil).
I am at work but I’ll see if I can dredge up info on Qanat depth