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A robust physics-constrained neural operator framework for efficient geothermal resource development.
Zhenqian Xue1, Jianfei Bi2, Haoming Ma3
1Department of Chemical & Petroleum Engineering, University of Calgary, Calgary, AB, Canada.
Nature Communications
|May 15, 2026
Summary
A new physics-constrained neural operator framework accelerates geothermal system evaluation. This method provides accurate, physically consistent predictions for scalable geothermal energy development.
Area of Science:
- Geothermal Energy Engineering
- Computational Science
- Artificial Intelligence in Energy
Background:
- Efficient evaluation of geothermal systems is crucial for scalable development.
- Conventional methods face challenges due to high computational costs and limited surrogate model generalizability.
Purpose of the Study:
- To present a physics-constrained neural operator framework for rapid, high-resolution, and physically consistent geothermal system evaluation.
- To enable accurate prediction of subsurface dynamics and surface energy production across diverse conditions.
Main Methods:
- Developed a physics-constrained neural operator framework learning the solution operator of governing partial differential equations.
- Integrated modules for power output estimation and techno-economic assessment.
Main Results:
- Achieved an average relative error of 1.76% for reservoir predictions and 1.70% for target variables.
- Demonstrated approximately 1,400-fold acceleration compared to conventional numerical methods.
- Enabled consistent techno-economic assessment across multiple geothermal applications.
Conclusions:
- The framework offers a scalable pathway for geothermal development by supporting rapid analyses.
- Facilitates resource assessment, uncertainty quantification, and multi-objective optimization for geothermal energy.
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