Heat Extraction Simulator: Geothermal Doublet Optimization

simulator intermediate ~10 min
Loading simulation...
P = 6.3 MW_th — viable doublet thermal output

At 30 L/s flow through a 50 mD reservoir with 500m well spacing, thermal output is 6.3 MW — sufficient for a ~1 MW binary-cycle electric power plant with a 25+ year thermal breakthrough time.

Formula

P_thermal = Q × ρ_w × c_pw × (T_prod - T_inj)
t_breakthrough = φ × L² × ρ_r × c_r / (Q × ρ_w × c_w)
ΔP = (Q × μ × L) / (k × A_flow)

The Geothermal Doublet

The fundamental unit of geothermal heat extraction is the doublet — a pair of wells, one for injection and one for production, connected by permeable rock or engineered fractures. Cold water descends through the injection well, absorbs heat from the surrounding rock as it travels through the reservoir, and returns to the surface hot through the production well. This simulator models the thermodynamics and fluid mechanics of this heat mining process.

Balancing Power and Longevity

Increasing flow rate extracts more thermal power but accelerates the advance of the cold front from injector to producer. The thermal breakthrough time — when cooled fluid reaches the production well — sets the economic lifetime of the system. Reservoir engineers must find the sweet spot: enough flow for commercial power output, but not so much that the reservoir is thermally depleted within a decade.

Permeability and Pressure

The reservoir's permeability dictates the pressure drop required to drive fluid from injector to producer. In high-permeability fractured rock (>100 mD), flow is easy and pump costs are low. In tight granite (<10 mD), massive pressure drops make production uneconomic without hydraulic stimulation. The Darcy equation governs this relationship, and pump power consumption can become a significant fraction of electric output in low-permeability systems.

Optimization Strategies

Advanced strategies include multi-lateral wells that increase reservoir contact area, supercritical CO₂ as a working fluid with better thermosiphon properties, and carefully designed injection schedules that delay thermal breakthrough. Numerical reservoir simulators (TOUGH2, FEHM) model the complex 3D flow and heat transfer to optimize well placement and flow management for each unique reservoir.

FAQ

How is heat extracted from geothermal reservoirs?

Heat is extracted by circulating fluid through the reservoir in a 'doublet' system — cold water is injected through one well, heated by contact with hot rock as it flows through fractures and pore space, then produced through a second well. The temperature difference between injection and production drives thermal output.

What is thermal breakthrough?

Thermal breakthrough occurs when the cooled injection fluid reaches the production well, causing production temperature to decline. Breakthrough time depends on well spacing, flow rate, porosity, and rock/fluid heat capacities. Good reservoir engineering delays breakthrough to 20-30 years.

Why does permeability matter?

Permeability controls how easily fluid flows through rock. High permeability means lower pressure drops and pump costs. Below ~10 millidarcies, natural permeability is insufficient for economic flow rates, necessitating hydraulic stimulation to create engineered fracture networks.

What is the optimal well spacing?

Optimal spacing balances thermal output (higher with closer wells due to lower pressure drop) against reservoir lifetime (shorter with closer wells due to faster thermal breakthrough). Typical spacings range from 300-1000m depending on permeability and target lifetime.

Sources

Embed

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