Convection can extract energy at a much higher rate than conduction through the crust.
If you boil a pot of water, you can still comfortably hold the pot's handle if it's long enough, indefinitely. This is heat conduction. On the other hand, if you try drinking from the pot with a straw, you'll find it very painful. This is convection.
The deepest bore of all time was 12 km deep. The crust is between 5 km and 100 km and thinnest under the ocean. The numbers involved here are staggering. One might as well hope to stop the Earth's winds with a windmill.
The earth generates ~50 terawatts of energy through radiation/other processes, while global energy consumption over the last year was 0.003 terawatts. I think we're fine.
Google is showing me other figures like 25,000 terawatt hours of electricity consumption annually.
Given your geothermal power plant operates for 100 years and pulls from say 1w/m2. Then you move to a new location for 100 years, and then come back you’re limited to 1w/m2 + 1w/m2 = 2w/m2. Have not 2 locations but many and eventually you’re fully recharged.
But my guess is that the 1w/m² quoted by GP is no where near the energy we get from the sun. Quick Google says sunlight in the order of 1kw/m² (sure that's dependent on where you are, it sun doesn't shine at night, but we're off by 3 orders of magnitude here).
So probably it'll have no effect on surface temperature.
Besides, the heat is mostly released anyways when driving a steam turbine, and the electricity also becomes heat, in your computer or whatever.
What matters here is the recharge rate, but all power plants have a finite lifespan. You can simply move somewhere else up to the point you run out of untapped geothermal energy across the surface of the earth which is a rather crazy number.
The sorts of drilling talked about for enhanced geothermal are on the scale far far above the needs of a house, IIRC about 5MW per bore hole pair, with many connecting from a single point on the surface. It's also at distances kilometers into the earth.
Pretty much. But the Earth's crust has a lot of thermal mass, so there's enough energy stored there to last for a long while.
It’s useful for HVAC for a home for example, where you aren’t trying to do a conversion to electricity but instead are directly leveraging the consistent temperature to reduce strain on the system.