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An improved method for upscaling borehole thermal energy storage using inverse finite element modelling

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  • Tordrup, K.W.
  • Poulsen, S.E.
  • Bjørn, H.

Abstract

Dimensioning of large-scale borehole thermal energy storage (BTES) is inherently uncertain due to the natural variability of thermal conductivity and heat capacity in the storage volume. We present an improved method for upscaling a pilot BTES to full scale and apply the method to an operational storage in Brædstrup, Denmark. The procedure utilizes inverse 3D finite element method (FEM) modelling of distributed temperature measurements inside the BTES for inferring the thermal properties of the subsurface. We find that individual geological layers can be distinguished in terms of their heat capacities and thermal conductivities using inverse modelling. The depth integrated estimate of thermal conductivity differs significantly from that obtained from a single thermal response test (TRT) at the site. As such, we find significant scaling effects in terms of the subsurface thermal conductivity distribution which are expected to be further amplified in an expansion of the pilot BTES to full scale. The methodology presented in this paper therefore provides an improved basis for upscaling pilot BTES systems. The operational data and BTES temperature measurements are published with the present paper in the supplementary material.

Suggested Citation

  • Tordrup, K.W. & Poulsen, S.E. & Bjørn, H., 2017. "An improved method for upscaling borehole thermal energy storage using inverse finite element modelling," Renewable Energy, Elsevier, vol. 105(C), pages 13-21.
    • Handle: RePEc:eee:renene:v:105:y:2017:i:c:p:13-21
    DOI: 10.1016/j.renene.2016.12.011
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    Cited by:

    1. Zhu, Li & Chen, Sarula & Yang, Yang & Sun, Yong, 2019. "Transient heat transfer performance of a vertical double U-tube borehole heat exchanger under different operation conditions," Renewable Energy, Elsevier, vol. 131(C), pages 494-505.
    2. 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.
    3. Julian Formhals & Hoofar Hemmatabady & Bastian Welsch & Daniel Otto Schulte & Ingo Sass, 2020. "A Modelica Toolbox for the Simulation of Borehole Thermal Energy Storage Systems," Energies, MDPI, vol. 13(9), pages 1-23, May.
    4. Georgiev, Aleksandar & Popov, Rumen & Toshkov, Emil, 2020. "Investigation of a hybrid system with ground source heat pump and solar collectors: Charging of thermal storages and space heating," Renewable Energy, Elsevier, vol. 147(P2), pages 2774-2790.
    5. Max Hesselbrandt & Mikael Erlström & Daniel Sopher & Jose Acuna, 2021. "Multidisciplinary Approaches for Assessing a High Temperature Borehole Thermal Energy Storage Facility at Linköping, Sweden," Energies, MDPI, vol. 14(14), pages 1-29, July.
    6. Nilsson, Emil & Rohdin, Patrik, 2019. "Performance evaluation of an industrial borehole thermal energy storage (BTES) project – Experiences from the first seven years of operation," Renewable Energy, Elsevier, vol. 143(C), pages 1022-1034.
    7. Zhu, Li & Chen, Sarula & Yang, Yang & Tian, Wei & Sun, Yong & Lyu, Mian, 2019. "Global sensitivity analysis on borehole thermal energy storage performances under intermittent operation mode in the first charging phase," Renewable Energy, Elsevier, vol. 143(C), pages 183-198.
    8. Michael Lanahan & Paulo Cesar Tabares-Velasco, 2017. "Seasonal Thermal-Energy Storage: A Critical Review on BTES Systems, Modeling, and System Design for Higher System Efficiency," Energies, MDPI, vol. 10(6), pages 1-24, May.
    9. Guo, Fang & Zhu, Xiaoyue & Zhang, Junyue & Yang, Xudong, 2020. "Large-scale living laboratory of seasonal borehole thermal energy storage system for urban district heating," Applied Energy, Elsevier, vol. 264(C).

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