LAPSE:2023.23900
Published Article
LAPSE:2023.23900
Analysis of Relaxation Time of Temperature in Thermal Response Test for Design of Borehole Size
Hobyung Chae, Katsunori Nagano, Yoshitaka Sakata, Takao Katsura, Ahmed A. Serageldin, Takeshi Kondo
March 27, 2023
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.
Keywords
groundwater velocity, moving line source theory, optical fiber distributed temperature sensor, relaxation time of temperature, thermal response test
Suggested Citation
Chae H, Nagano K, Sakata Y, Katsura T, Serageldin AA, Kondo T. Analysis of Relaxation Time of Temperature in Thermal Response Test for Design of Borehole Size. (2023). LAPSE:2023.23900
Author Affiliations
Chae H: Graduate School of Engineering, Hokkaido University, N13-W8, Sapporo 060-8628, Japan
Nagano K: Graduate School of Engineering, Hokkaido University, N13-W8, Sapporo 060-8628, Japan
Sakata Y: Graduate School of Engineering, Hokkaido University, N13-W8, Sapporo 060-8628, Japan [ORCID]
Katsura T: Graduate School of Engineering, Hokkaido University, N13-W8, Sapporo 060-8628, Japan [ORCID]
Serageldin AA: 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 [ORCID]
Kondo T: NIKKEN SEKKEI Research Institute, 3-737, Kanda Ogawamachi, Chiyoda-ku, Tokyo 101-0052, Japan
Journal Name
Energies
Volume
13
Issue
13
Article Number
E3297
Year
2020
Publication Date
2020-06-27
ISSN
1996-1073
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Original Submission
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PII: en13133297, Publication Type: Journal Article
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LAPSE:2023.23900
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https://doi.org/10.3390/en13133297
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