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Optimization of Closed-Loop Shallow Geothermal Systems Using Analytical Models

Oliver HEINZEL, Smajil HALILOVIC, Thomas HAMACHER, Michael ULBRICH

Key words
shallow geothermal energy, optimization, borehole heat exchangers, closed-loop systems, ground source heat pump
Conference
Stanford Geothermal Workshop
Year
2026
Session
Low Temperature
Language
English
Paper number
Heinzel

Full text

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Abstract

Closed-loop shallow geothermal systems are one of the key technologies for decarbonizing the residential heating and cooling sector. The primary type of these systems involves vertical borehole heat exchangers (BHEs). During the planning phase, it is essential to find the optimal design for these systems, including the depth and spatial arrangement of the BHEs. In this work, we have developed a novel approach to find the optimal design of BHE fields, taking into account constraints such as temperature limits of the heat carrier fluid. These limits correspond to the regulatory practices applied during the planning phase. The approach uses a finite line source model to simulate temperature changes in the ground in combination with the analytical model of heat transport within the boreholes. Our approach is demonstrated using realistic scenarios and is expected to improve current practice in the planning and design of BHE systems.

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