Mathematics of Geothermal Energy
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- Geothermal energy harnesses Earth's interior heat from formation and radioactive decay, with temperature increasing with depth (geothermal gradient).
- Prime geothermal sites are high-gradient areas like the Ring of Fire, where tectonic plates separate.
- Mathematical models such as Lagrangian–Eulerian flow, stochastic, geometric, and MODFLOW are used to study fluid movement, reservoir optimization, and deformation of porous rock.
- Geothermal heat pumps transfer heat for building heating and cooling, but large-scale water movement can cause geological issues like subsidence.
- Electricity is generated using steam from geothermal reservoirs to drive turbines; plants can use direct steam or low-boiling-point fluids for lower temperatures.
- Geothermal energy offers low greenhouse gas emissions, consistent baseload power, negligible fuel costs, and no long-term nuclear waste, but high capital costs and limited high-quality sites slow adoption.
- Global geothermal electricity production increased 20% from 2005 to 2010, and the number of countries developing resources rose 52% from 2007 to 2010.