IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v13y2020i13p3297-d377010.html
   My bibliography  Save this article

Analysis of Relaxation Time of Temperature in Thermal Response Test for Design of Borehole Size

Author

Listed:
  • Hobyung Chae

    (Graduate School of Engineering, Hokkaido University, N13-W8, Sapporo 060-8628, Japan)

  • Katsunori Nagano

    (Graduate School of Engineering, Hokkaido University, N13-W8, Sapporo 060-8628, Japan)

  • Yoshitaka Sakata

    (Graduate School of Engineering, Hokkaido University, N13-W8, Sapporo 060-8628, Japan)

  • Takao Katsura

    (Graduate School of Engineering, Hokkaido University, N13-W8, Sapporo 060-8628, Japan)

  • Ahmed A. Serageldin

    (Graduate School of Engineering, Hokkaido University, N13-W8, Sapporo 060-8628, Japan
    Mechanical Power Engineering Department, Faculty of Engineering at Shoubra, Benha University, Shoubra 11629, Egypt)

  • Takeshi Kondo

    (NIKKEN SEKKEI Research Institute, 3-737, Kanda Ogawamachi, Chiyoda-ku, Tokyo 101-0052, Japan)

Abstract

A new practical method for thermal response test (TRT) is proposed herein to estimate the groundwater velocity and effective thermal conductivity of geological zones. The relaxation time of temperature (RTT) is applied to determine the depths of the zones. The RTT is the moment when the temperature in the borehole recovers to a certain level compared with that when the heating is stopped. The heat exchange rates of the zones are calculated from the vertical temperature profile measured by the optical-fiber distributed temperature sensors located in the supply and return sides of a U-tube. Finally, the temperature increments at the end time of the TRT are calculated according to the groundwater velocities and the effective thermal conductivity using the moving line source theory applied to the calculated heat exchange rates. These results are compared with the average temperature increment data measured from each zone, and the best-fitting value yields the groundwater velocities for each zone. Results show that the groundwater velocities for each zone are 2750, 58, and 0 m/y, whereas the effective thermal conductivities are 2.4, 2.4, and 2.1 W/(m∙K), respectively. The proposed methodology is evaluated by comparing it with the realistic long-term operation data of a ground source heat pump (GSHP) system in Kazuno City, Japan. The temperature error between the calculated results and measured data is 6.4% for two years. Therefore, the proposed methodology is effective for estimating the long-term performance analysis of GSHP systems.

Suggested Citation

  • Hobyung Chae & Katsunori Nagano & Yoshitaka Sakata & Takao Katsura & Ahmed A. Serageldin & Takeshi Kondo, 2020. "Analysis of Relaxation Time of Temperature in Thermal Response Test for Design of Borehole Size," Energies, MDPI, vol. 13(13), pages 1-20, June.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:13:p:3297-:d:377010
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/13/13/3297/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/13/13/3297/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Francesco Colangelo & Giuseppina De Luca & Claudio Ferone & Alessandro Mauro, 2013. "Experimental and Numerical Analysis of Thermal and Hygrometric Characteristics of Building Structures Employing Recycled Plastic Aggregates and Geopolymer Concrete," Energies, MDPI, vol. 6(11), pages 1-25, November.
    2. Choi, Jung Chan & Park, Joonsang & Lee, Seung Rae, 2013. "Numerical evaluation of the effects of groundwater flow on borehole heat exchanger arrays," Renewable Energy, Elsevier, vol. 52(C), pages 230-240.
    3. Louis Lamarche & Jasmin Raymond & Claude Hugo Koubikana Pambou, 2017. "Evaluation of the Internal and Borehole Resistances during Thermal Response Tests and Impact on Ground Heat Exchanger Design," Energies, MDPI, vol. 11(1), pages 1-17, December.
    4. Lee, C.K. & Lam, H.N., 2012. "A modified multi-ground-layer model for borehole ground heat exchangers with an inhomogeneous groundwater flow," Energy, Elsevier, vol. 47(1), pages 378-387.
    5. Choi, Wonjun & Ooka, Ryozo, 2015. "Interpretation of disturbed data in thermal response tests using the infinite line source model and numerical parameter estimation method," Applied Energy, Elsevier, vol. 148(C), pages 476-488.
    6. Nam, Yujin & Chae, Ho-Byung, 2014. "Numerical simulation for the optimum design of ground source heat pump system using building foundation as horizontal heat exchanger," Energy, Elsevier, vol. 73(C), pages 933-942.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chae, Hobyung & Bae, Sangmu & Jeong, Jae-Weon & Nam, Yujin, 2024. "Performance and economic analysis for optimal length of borehole heat exchanger considering effects of groundwater," Renewable Energy, Elsevier, vol. 224(C).
    2. Yoshitaka Sakata & Takao Katsura & Ahmed A. Serageldin & Katsunori Nagano & Motoaki Ooe, 2021. "Evaluating Variability of Ground Thermal Conductivity within a Steep Site by History Matching Underground Distributed Temperatures from Thermal Response Tests," Energies, MDPI, vol. 14(7), pages 1-17, March.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Choi, Wonjun & Ooka, Ryozo, 2016. "Effect of natural convection on thermal response test conducted in saturated porous formation: Comparison of gravel-backfilled and cement-grouted borehole heat exchangers," Renewable Energy, Elsevier, vol. 96(PA), pages 891-903.
    2. Tye-Gingras, Maxime & Gosselin, Louis, 2014. "Generic ground response functions for ground exchangers in the presence of groundwater flow," Renewable Energy, Elsevier, vol. 72(C), pages 354-366.
    3. Carotenuto, Alberto & Ciccolella, Michela & Massarotti, Nicola & Mauro, Alessandro, 2016. "Models for thermo-fluid dynamic phenomena in low enthalpy geothermal energy systems: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 60(C), pages 330-355.
    4. Yong Li & Shibin Geng & Xu Han & Hua Zhang & Fusheng Peng, 2017. "Performance Evaluation of Borehole Heat Exchanger in Multilayered Subsurface," Sustainability, MDPI, vol. 9(3), pages 1-16, March.
    5. Zhao, Zilong & Lin, Yu-Feng & Stumpf, Andrew & Wang, Xinlei, 2022. "Assessing impacts of groundwater on geothermal heat exchangers: A review of methodology and modeling," Renewable Energy, Elsevier, vol. 190(C), pages 121-147.
    6. Gan, Guohui, 2018. "Dynamic thermal performance of horizontal ground source heat pumps – The impact of coupled heat and moisture transfer," Energy, Elsevier, vol. 152(C), pages 877-887.
    7. 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.
    8. Rivera, Jaime A. & Blum, Philipp & Bayer, Peter, 2015. "Ground energy balance for borehole heat exchangers: Vertical fluxes, groundwater and storage," Renewable Energy, Elsevier, vol. 83(C), pages 1341-1351.
    9. Aneta Sapińska-Sliwa & Marc A. Rosen & Andrzej Gonet & Joanna Kowalczyk & Tomasz Sliwa, 2019. "A New Method Based on Thermal Response Tests for Determining Effective Thermal Conductivity and Borehole Resistivity for Borehole Heat Exchangers," Energies, MDPI, vol. 12(6), pages 1-22, March.
    10. Zhang, Changxing & Song, Wei & Liu, Yufeng & Kong, Xiangqiang & Wang, Qing, 2019. "Effect of vertical ground temperature distribution on parameter estimation of in-situ thermal response test with unstable heat rate," Renewable Energy, Elsevier, vol. 136(C), pages 264-274.
    11. Loveridge, Fleur & Powrie, William, 2013. "Temperature response functions (G-functions) for single pile heat exchangers," Energy, Elsevier, vol. 57(C), pages 554-564.
    12. Chao Huan & Sha Zhang & Xiaoxuan Zhao & Shengteng Li & Bo Zhang & Yujiao Zhao & Pengfei Tao, 2021. "Thermal Performance of Cemented Paste Backfill Body Considering Its Slurry Sedimentary Characteristics in Underground Backfill Stopes," Energies, MDPI, vol. 14(21), pages 1-18, November.
    13. Choi, Wonjun & Kikumoto, Hideki & Choudhary, Ruchi & Ooka, Ryozo, 2018. "Bayesian inference for thermal response test parameter estimation and uncertainty assessment," Applied Energy, Elsevier, vol. 209(C), pages 306-321.
    14. Li, Biao & Han, Zongwei & Bai, Chenguang & Hu, Honghao, 2019. "The influence of soil thermal properties on the operation performance on ground source heat pump system," Renewable Energy, Elsevier, vol. 141(C), pages 903-913.
    15. Seokjae Lee & Sangwoo Park & Taek Hee Han & Jongmuk Won & Hangseok Choi, 2023. "Applicability Evaluation of Energy Slabs Installed in an Underground Parking Lot," Sustainability, MDPI, vol. 15(4), pages 1-15, February.
    16. Choi, Wonjun & Menberg, Kathrin & Kikumoto, Hideki & Heo, Yeonsook & Choudhary, Ruchi & Ooka, Ryozo, 2018. "Bayesian inference of structural error in inverse models of thermal response tests," Applied Energy, Elsevier, vol. 228(C), pages 1473-1485.
    17. Wenke Zhang & Hongxing Yang & Lin Lu & Zhaohong Fang, 2017. "Investigation on the heat transfer of energy piles with two-dimensional groundwater flow," International Journal of Low-Carbon Technologies, Oxford University Press, vol. 12(1), pages 43-50.
    18. Paola Iodice & Nicola Massarotti & Alessandro Mauro, 2016. "Effects of Inhomogeneities on Heat and Mass Transport Phenomena in Thermal Bridges," Energies, MDPI, vol. 9(3), pages 1-21, February.
    19. Kayaci, Nurullah, 2020. "Energy and exergy analysis and thermo-economic optimization of the ground source heat pump integrated with radiant wall panel and fan-coil unit with floor heating or radiator," Renewable Energy, Elsevier, vol. 160(C), pages 333-349.
    20. Lee, Seokjae & Park, Sangwoo & Won, Jongmuk & Choi, Hangseok, 2021. "Influential factors on thermal performance of energy slabs equipped with an insulation layer," Renewable Energy, Elsevier, vol. 174(C), pages 823-834.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:13:y:2020:i:13:p:3297-:d:377010. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.