Geothermal Reservoir Simulator: Temperature, Heat Flow & Extraction

simulator intermediate ~10 min
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T = 105°C — suitable for binary-cycle power generation

At 3 km depth with a 30°C/km gradient, the reservoir reaches 105°C — suitable for binary-cycle organic Rankine cycle power generation, with an extractable thermal power of approximately 5 MW at 20 L/s flow rate.

Formula

T_reservoir = T_surface + G × D
q = k × (dT/dz) = k × G (heat flux, mW/m²)
P_thermal = Q × ρ_water × c_p × (T_res - T_reinject)

Heat Beneath Our Feet

The Earth's interior is an immense thermal engine, driven by radioactive decay and primordial heat from planetary formation. At the surface, temperatures are mild — but descend just a few kilometers and rock temperatures reach hundreds of degrees Celsius. Geothermal reservoir modeling predicts these subsurface temperatures to identify locations where heat can be economically extracted. This simulator lets you explore how depth, geothermal gradient, and rock properties determine reservoir thermal state.

The Geothermal Gradient

Temperature increases with depth at the geothermal gradient — typically 25-30°C per kilometer in continental crust, but reaching 80°C/km or more near active volcanic centers. The gradient is governed by the balance between heat flux from below (mantle convection and crustal radioactivity) and thermal conductivity of the overlying rock. Low conductivity sedimentary basins can act as insulating blankets, elevating temperatures at moderate depth.

Heat Extraction and Flow

Converting subsurface heat to useful energy requires circulating fluid through the reservoir. The thermal power extracted depends on flow rate, fluid heat capacity, and the temperature difference between production and reinjection. Higher flow rates extract more power but cool the reservoir faster, creating a tradeoff between short-term output and long-term sustainability that reservoir engineers must carefully optimize.

Reservoir Longevity

Sustainable geothermal operation requires that heat extraction not outpace natural thermal recharge. Reservoir depletion models track the advancing cold front around injection wells and predict temperature decline over decades. Proper well spacing, flow management, and reinjection strategies can sustain production for 30-50 years. Some fields, like Larderello in Italy, have operated for over a century with adaptive management.

FAQ

What is a geothermal reservoir?

A geothermal reservoir is a subsurface volume of hot rock and fluid from which heat can be economically extracted. Natural reservoirs contain permeable rock saturated with hot water or steam. The reservoir's temperature, permeability, and fluid content determine its energy potential.

What is the geothermal gradient?

The geothermal gradient is the rate of temperature increase with depth in the Earth's crust, averaging about 25-30°C per kilometer. In volcanic regions it can exceed 80°C/km, while in stable continental shields it may be as low as 15°C/km. This gradient drives geothermal energy potential.

How long does a geothermal reservoir last?

With proper management, geothermal reservoirs can produce energy for 30-50+ years. The Larderello field in Italy has operated since 1904. Thermal depletion depends on extraction rate, reservoir volume, and natural heat recharge. Reinjection of cooled fluid helps maintain pressure and extend lifetime.

What temperatures are needed for geothermal power?

Binary-cycle plants can generate electricity from temperatures as low as 80°C. Flash-steam plants require 180°C+, and dry-steam plants need 240°C+. Direct-use applications like district heating work with temperatures as low as 50°C.

Sources

Embed

<iframe src="https://homo-deus.com/lab/geothermal-energy/reservoir-modeling/embed" width="100%" height="400" frameborder="0"></iframe>
View source on GitHub