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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
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    References listed on IDEAS

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    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.

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