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Evaluation of Subsurface Heat Capacity through Oscillatory Thermal Response Tests

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  • Nicolò Giordano

    (Centre Eau Terre Environnement, Institut National de la Recherche Scientifique, 490 Rue de la Couronne, Québec, QC G1K 9A9, Canada)

  • Louis Lamarche

    (École de Technologie Supérieure, Département de Génie Mécanique, Montréal, QC H3C 1K3, Canada)

  • Jasmin Raymond

    (Centre Eau Terre Environnement, Institut National de la Recherche Scientifique, 490 Rue de la Couronne, Québec, QC G1K 9A9, Canada)

Abstract

Two methods are currently available to estimate in a relatively short time span the subsurface heat capacity: (1) laboratory analysis of rock/soil samples; (2) measure the heat diffusion with temperature sensors in an observation well. Since the first may not be representative of in-situ conditions, and the second imply economical and logistical issues, a third option might be possible by means of so-called oscillatory thermal response tests (OTRT). The aim of the study was to evaluate the effectiveness of an OTRT as a tool to infer the subsurface heat capacity without the need of an observation well. To achieve this goal, an OTRT was carried out in a borehole heat exchanger (BHE). The total duration of injection was 6 days, with oscillation period of 12 h and amplitude of 10 W m −1 . The results of the proposed methodology were compared 3-D numerical simulations and to a TRT with a constant heat injection rate with temperature response monitored from a nearby observation well. Results show that the OTRT succeeded to infer the expected subsurface heat capacity, but uncertainty is about 15% and the radial depth of penetration is only 12 cm. The parameters having most impact on the results are the subsurface thermal conductivity and the borehole thermal resistance. The OTRT performed and analyzed in this study also allowed to evaluate the thermal conductivity with similar accuracy compared to conventional TRTs (3%). On the other hand, it returned borehole thermal resistance with high uncertainty (15%), in particular due to the duration of the test. The final range of heat capacity is wide, highlighting challenges to currently use OTRT in the scope of ground-coupled heat pump system design. OTRT appears a promising tool to evaluate the heat capacity, but more field testing and mathematical interpretation of the sinusoidal response is needed to better isolate the subsurface from the BHE contribution and reduce the uncertainty.

Suggested Citation

  • Nicolò Giordano & Louis Lamarche & Jasmin Raymond, 2021. "Evaluation of Subsurface Heat Capacity through Oscillatory Thermal Response Tests," Energies, MDPI, vol. 14(18), pages 1-26, September.
  • Handle: RePEc:gam:jeners:v:14:y:2021:i:18:p:5791-:d:635071
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    References listed on IDEAS

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    1. Spitler, Jeffrey D. & Gehlin, Signhild E.A., 2015. "Thermal response testing for ground source heat pump systems—An historical review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 50(C), pages 1125-1137.
    2. Raymond, Jasmin & Lamarche, Louis & Malo, Michel, 2015. "Field demonstration of a first thermal response test with a low power source," Applied Energy, Elsevier, vol. 147(C), pages 30-39.
    3. Zhang, Bo & Gu, Kai & Shi, Bin & Liu, Chun & Bayer, Peter & Wei, Guangqing & Gong, Xülong & Yang, Lei, 2020. "Actively heated fiber optics based thermal response test: A field demonstration," Renewable and Sustainable Energy Reviews, Elsevier, vol. 134(C).
    4. Yang, H. & Cui, P. & Fang, Z., 2010. "Vertical-borehole ground-coupled heat pumps: A review of models and systems," Applied Energy, Elsevier, vol. 87(1), pages 16-27, January.
    5. Witte, Henk J.L., 2013. "Error analysis of thermal response tests," Applied Energy, Elsevier, vol. 109(C), pages 302-311.
    6. Giordano, Nicolò & Raymond, Jasmin, 2019. "Alternative and sustainable heat production for drinking water needs in a subarctic climate (Nunavik, Canada): Borehole thermal energy storage to reduce fossil fuel dependency in off-grid communities," Applied Energy, Elsevier, vol. 252(C), pages 1-1.
    7. Raymond, J. & Lamarche, L., 2013. "Simulation of thermal response tests in a layered subsurface," Applied Energy, Elsevier, vol. 109(C), pages 293-301.
    8. Maria Isabel Vélez Márquez & Jasmin Raymond & Daniela Blessent & Mikael Philippe & Nataline Simon & Olivier Bour & Louis Lamarche, 2018. "Distributed Thermal Response Tests Using a Heating Cable and Fiber Optic Temperature Sensing," Energies, MDPI, vol. 11(11), pages 1-24, November.
    9. Marcotte, D. & Pasquier, P., 2008. "On the estimation of thermal resistance in borehole thermal conductivity test," Renewable Energy, Elsevier, vol. 33(11), pages 2407-2415.
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    1. Tangnur Amanzholov & Abzal Seitov & Abdurashid Aliuly & Yelnar Yerdesh & Mohanraj Murugesan & Olivier Botella & Michel Feidt & Hua Sheng Wang & Yerzhan Belyayev & Amankeldy Toleukhanov, 2022. "Thermal Response Measurement and Performance Evaluation of Borehole Heat Exchangers: A Case Study in Kazakhstan," Energies, MDPI, vol. 15(22), pages 1-31, November.

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