Abstract
In this study, we apply control theory to mitigate earthquake hazards to a stress-based model of enhanced geothermal stimulation. The model considers pore pressure diffusion as the main stressing mechanism and rate-and-state friction as the shear failure mechanism. The controller is designed to follow a given average pressure and the probability of exceedance of a red-light earthquake (the magnitude at which the stimulation would have to stop by regulation) within chosen volumes surrounding the injection source and within a target time. We rigorously prove that the proposed controller can effectively force two output types within the system to given references, despite the presence of model uncertainties, and with minimal system information, using a continuous control signal. This framework is applied to a validated model of the 2018 Otaniemi geothermal stimulation. We use a suite of simulations to identify injection scenarios that outperform the 2018 Otaniemi stimulation. The optimal stimulation achieves higher average pressure in a shorter time with lower seismic hazard. The controller can help determine whether a combination of safety thresholds and optimization targets is feasible and economical. The control framework could be used to design stimulation schedules for enhanced geothermal systems.
| Original language | English |
|---|---|
| Article number | 103396 |
| Pages (from-to) | 1-19 |
| Number of pages | 19 |
| Journal | Geothermics |
| Volume | 132 |
| Early online date | 25 Jun 2025 |
| DOIs | |
| Publication status | Published (in print/issue) - 30 Nov 2025 |
Bibliographical note
Publisher Copyright:© 2025
Data Access Statement
The data is already public from a previous publication.Funding
The authors D.G.-O. and I.S. would like to acknowledge the European Research Council's (ERC) support under the European Union's Horizon 2020 research and innovation program (Grant agreement no. 101087771 INJECT) and the Region Pays de la Loire and Nantes M\u00E9tropole under the Connect Talent programme (CEEV: Controlling Extreme EVents - Blast: Blas LoAds on STructures). T.K, J-P.A and M.A acknowledge funding from the NSF/Industry-University Collaborative Research Center \u2018Geomechanics and Mitigation of Geohazards\u2019 (National Science Foundation, United States award No. 1822214). M.A. acknowledges funding from the Swiss National Science Foundation, Switzerland through Grant P2ELP2_195127. M.A and J-P.A acknowledge funding from the Resnick sustainability institute at Caltech. The authors thank Prof. Ilmo Kukkonen and the anonymous reviewer for their valuable edits and comments that significantly improved the manuscript. The authors D.G.-O. and I.S. would like to acknowledge the European Research Council\u2019s (ERC) support under the European Union\u2019s Horizon 2020 research and innovation program (Grant agreement no. 101087771 INJECT) and the Region Pays de la Loire and Nantes M\u00E9tropole under the Connect Talent programme (CEEV: Controlling Extreme EVents - Blast: Blas LoAds on STructures). T.K, J-P.A and M.A acknowledge funding from the NSF/Industry-University Collaborative Research Center \u2018Geomechanics and Mitigation of Geohazards\u2019 ( National Science Foundation, United States award No. 1822214 ). M.A. acknowledges funding from the Swiss National Science Foundation, Switzerland through Grant P2ELP2_195127 . M.A and J-P.A acknowledge funding from the Resnick sustainability institute at Caltech . The authors thank Prof. Ilmo Kukkonen and the anonymous reviewer for their valuable edits and comments that significantly improved the manuscript.
| Funders | Funder number |
|---|---|
| European Research Council | |
| 101087771 | |
| National Science Foundation | 1822214 |
| P2ELP2_195127 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 7 Affordable and Clean Energy
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SDG 9 Industry, Innovation, and Infrastructure
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SDG 13 Climate Action
Keywords
- Induced seismicity
- Control theory
- Physics-based modeling
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