Mathematics of Geothermal Energy

The general shape of geothermal, where you're up here where it's cool, and you push a fluid down there where it's hot, and you bring the heat back up here to do work... Would a good enough insulator make it thermodynamically feasible to do it from an airship in the Venusian atmosphere?

Like, clearly Earth's crust supports temperature gradients which are steep enough to make the juice worth the squeeze. Presumably you're not going to find gradients so steep in the case of a runaway greenhouse effect, but whatever gradients you do find, are there fundamental limits preventing them from being steep enough?

Disclaimer: I work in this field.

This is a very brief, high-level overview. It weirdly dives deep into some less-relevant topics and glosses over a LOT of things.

It is not irrelevant, but not terribly reliable either. The "Mathematics" in the title is self-evidently clickbait.

YMMV.

Wish geothermal energy was being discussed more for a power source for data centers.

Iceland has unlimited geothermal energy and a cold climate. Seems a lot easier than going to space for solar energy

I think i just saw Fervo delivered their 100MW facility a day ahead of schedule in 23 months.