IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v88y2015icp157-167.html
   My bibliography  Save this article

Interpretation of ongoing thermal response tests of vertical (BHE) borehole heat exchangers with predictive uncertainty based stopping criterion

Author

Listed:
  • Poulsen, S.E.
  • Alberdi-Pagola, M.

Abstract

This paper presents a method for analyzing and establishing a stopping criterion for ongoing (TRT) thermal response tests of vertical (BHE) borehole heat exchangers. The predictive uncertainty of the late-time BHE fluid temperature (50 h) forms the basis for determining the time after which further temperature measurements do not significantly improve the calibration of the numerical borehole model. The method relies solely on measured fluid temperatures and can, in principle, be generalized to different BHE geometries and configurations. The method is applied to synthetic and actual TRTs of single and double U BHEs. Predictive uncertainty of the late-time fluid temperature is comparable to measurement uncertainty after 12–28 h of testing at which reliable estimates of soil thermal conductivity and borehole thermal resistance are obtained. Minimum testing times are found to scale with borehole thermal resistance in the synthetic tests. It is further demonstrated that for actual tests, ambient thermal disturbances bias estimates of soil thermal conductivity and inflate predictive uncertainty which increases minimum testing times. The method serves as a diagnostic tool for ongoing TRTs as well as a means to minimize testing times which has potential implications for the associated cost and logistics of field operations.

Suggested Citation

  • Poulsen, S.E. & Alberdi-Pagola, M., 2015. "Interpretation of ongoing thermal response tests of vertical (BHE) borehole heat exchangers with predictive uncertainty based stopping criterion," Energy, Elsevier, vol. 88(C), pages 157-167.
    • Handle: RePEc:eee:energy:v:88:y:2015:i:c:p:157-167
    DOI: 10.1016/j.energy.2015.03.133
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544215004971
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.energy.2015.03.133?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Raymond, J. & Therrien, R. & Gosselin, L. & Lefebvre, R., 2011. "Numerical analysis of thermal response tests with a groundwater flow and heat transfer model," Renewable Energy, Elsevier, vol. 36(1), pages 315-324.
    2. Wang, Huajun & Qi, Chengying & Du, Hongpu & Gu, Jihao, 2010. "Improved method and case study of thermal response test for borehole heat exchangers of ground source heat pump system," Renewable Energy, Elsevier, vol. 35(3), pages 727-733.
    3. Roth, P. & Georgiev, A. & Busso, A. & Barraza, E., 2004. "First in situ determination of ground and borehole thermal properties in Latin America," Renewable Energy, Elsevier, vol. 29(12), pages 1947-1963.
    4. Li, Min & Lai, Alvin C.K., 2012. "New temperature response functions (G functions) for pile and borehole ground heat exchangers based on composite-medium line-source theory," Energy, Elsevier, vol. 38(1), pages 255-263.
    5. John W. Lund, 2010. "Direct Utilization of Geothermal Energy," Energies, MDPI, vol. 3(8), pages 1-29, August.
    6. Li, Min & Lai, Alvin C.K., 2013. "Analytical model for short-time responses of ground heat exchangers with U-shaped tubes: Model development and validation," Applied Energy, Elsevier, vol. 104(C), pages 510-516.
    7. Yang, Weibo & Shi, Mingheng & Liu, Guangyuan & Chen, Zhenqian, 2009. "A two-region simulation model of vertical U-tube ground heat exchanger and its experimental verification," Applied Energy, Elsevier, vol. 86(10), pages 2005-2012, October.
    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. Alberdi-Pagola, Maria & Poulsen, Søren Erbs & Loveridge, Fleur & Madsen, Søren & Jensen, Rasmus Lund, 2018. "Comparing heat flow models for interpretation of precast quadratic pile heat exchanger thermal response tests," Energy, Elsevier, vol. 145(C), pages 721-733.
    2. Pasquier, Philippe, 2018. "Interpretation of the first hours of a thermal response test using the time derivative of the temperature," Applied Energy, Elsevier, vol. 213(C), pages 56-75.
    3. Cristina Sáez Blázquez & Ignacio Martín Nieto & Arturo Farfán Martín & Diego González-Aguilera & Pedro Carrasco García, 2019. "Comparative Analysis of Different Methodologies Used to Estimate the Ground Thermal Conductivity in Low Enthalpy Geothermal Systems," Energies, MDPI, vol. 12(9), pages 1-14, May.
    4. Søren Erbs Poulsen & Theis Raaschou Andersen & Karl Woldum Tordrup, 2022. "Full-Scale Demonstration of Combined Ground Source Heating and Sustainable Urban Drainage in Roadbeds," Energies, MDPI, vol. 15(12), pages 1-21, June.
    5. Ana Vieira & Maria Alberdi-Pagola & Paul Christodoulides & Saqib Javed & Fleur Loveridge & Frederic Nguyen & Francesco Cecinato & João Maranha & Georgios Florides & Iulia Prodan & Gust Van Lysebetten , 2017. "Characterisation of Ground Thermal and Thermo-Mechanical Behaviour for Shallow Geothermal Energy Applications," Energies, MDPI, vol. 10(12), pages 1-51, December.

    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. Zhang, Linfeng & Zhang, Quan & Huang, Gongsheng, 2016. "A transient quasi-3D entire time scale line source model for the fluid and ground temperature prediction of vertical ground heat exchangers (GHEs)," Applied Energy, Elsevier, vol. 170(C), pages 65-75.
    2. Li, Min & Zhang, Liwen & Liu, Gang, 2020. "Step-wise algorithm for estimating multi-parameter of the ground and geothermal heat exchangers from thermal response tests," Renewable Energy, Elsevier, vol. 150(C), pages 435-442.
    3. Shim, B.O. & Park, C.-H., 2013. "Ground thermal conductivity for (ground source heat pumps) GSHPs in Korea," Energy, Elsevier, vol. 56(C), pages 167-174.
    4. Cui, Yuanlong & Zhu, Jie & Twaha, Ssennoga & Riffat, Saffa, 2018. "A comprehensive review on 2D and 3D models of vertical ground heat exchangers," Renewable and Sustainable Energy Reviews, Elsevier, vol. 94(C), pages 84-114.
    5. Li, Min & Lai, Alvin C.K., 2015. "Review of analytical models for heat transfer by vertical ground heat exchangers (GHEs): A perspective of time and space scales," Applied Energy, Elsevier, vol. 151(C), pages 178-191.
    6. Paul Christodoulides & Ana Vieira & Stanislav Lenart & João Maranha & Gregor Vidmar & Rumen Popov & Aleksandar Georgiev & Lazaros Aresti & Georgios Florides, 2020. "Reviewing the Modeling Aspects and Practices of Shallow Geothermal Energy Systems," Energies, MDPI, vol. 13(16), pages 1-45, August.
    7. Ana Vieira & Maria Alberdi-Pagola & Paul Christodoulides & Saqib Javed & Fleur Loveridge & Frederic Nguyen & Francesco Cecinato & João Maranha & Georgios Florides & Iulia Prodan & Gust Van Lysebetten , 2017. "Characterisation of Ground Thermal and Thermo-Mechanical Behaviour for Shallow Geothermal Energy Applications," Energies, MDPI, vol. 10(12), pages 1-51, December.
    8. 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.
    9. Claudia Naldi & Enzo Zanchini, 2019. "Full-Time-Scale Fluid-to-Ground Thermal Response of a Borefield with Uniform Fluid Temperature," Energies, MDPI, vol. 12(19), pages 1-18, September.
    10. Li, Min & Zhang, Liwen & Liu, Gang, 2019. "Estimation of thermal properties of soil and backfilling material from thermal response tests (TRTs) for exploiting shallow geothermal energy: Sensitivity, identifiability, and uncertainty," Renewable Energy, Elsevier, vol. 132(C), pages 1263-1270.
    11. Choi, Wonjun & Ooka, Ryozo, 2016. "Effect of disturbance on thermal response test, part 1: Development of disturbance analytical model, parametric study, and sensitivity analysis," Renewable Energy, Elsevier, vol. 85(C), pages 306-318.
    12. Li, Min & Li, Ping & Chan, Vincent & Lai, Alvin C.K., 2014. "Full-scale temperature response function (G-function) for heat transfer by borehole ground heat exchangers (GHEs) from sub-hour to decades," Applied Energy, Elsevier, vol. 136(C), pages 197-205.
    13. Sebarchievici, Calin & Sarbu, Ioan, 2015. "Performance of an experimental ground-coupled heat pump system for heating, cooling and domestic hot-water operation," Renewable Energy, Elsevier, vol. 76(C), pages 148-159.
    14. 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.
    15. Loveridge, Fleur & Powrie, William, 2014. "G-Functions for multiple interacting pile heat exchangers," Energy, Elsevier, vol. 64(C), pages 747-757.
    16. 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.
    17. Ma, WeiWu & Li, Min & Li, Ping & Lai, Alvin C.K., 2015. "New quasi-3D model for heat transfer in U-shaped GHEs (ground heat exchangers): Effective overall thermal resistance," Energy, Elsevier, vol. 90(P1), pages 578-587.
    18. Gordon, David & Bolisetti, Tirupati & Ting, David S-K. & Reitsma, Stanley, 2017. "A physical and semi-analytical comparison between coaxial BHE designs considering various piping materials," Energy, Elsevier, vol. 141(C), pages 1610-1621.
    19. Choi, Wonjun & Ooka, Ryozo, 2016. "Effect of disturbance on thermal response test, part 2: Numerical study of applicability and limitation of infinite line source model for interpretation under disturbance from outdoor environment," Renewable Energy, Elsevier, vol. 85(C), pages 1090-1105.
    20. Yoon, Seok & Lee, Seung-Rae & Go, Gyu-Hyun, 2014. "A numerical and experimental approach to the estimation of borehole thermal resistance in ground heat exchangers," Energy, Elsevier, vol. 71(C), pages 547-555.

    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:eee:energy:v:88:y:2015:i:c:p:157-167. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    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.