Skip to main content

Science – Society – Technology

Correction to: An efficient hybrid model for thermal analysis of deep borehole heat exchangers

The Original Article was published on 15 June 2020

Correction to: Geotherm Energy (2020) 8:18 https://doi.org/10.1186/s40517-020-00170-z

After publication of our article it was brought to our attention that we had omitted to include the credit line for Figure 1. The corrected Figure 1 caption with the credit line is given below:

“Schematic of heat transfer process for deep borehole heat exchanger: inverse loop (left) and forward loop (right). Reproduced with permission from Elsevier from Bär et al. Energy Procedia 76 (2015) 351–360; this work is licensed under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).”

There were a number of errors found in the references section. The corrected references are given in this Correction article.

We apologize to readers for these errors.

The original article has been corrected.

References

  • Abdelaziz SL, Ozudogru TY, Olgun CG, Martin JR II. Multilayer finite line source model for vertical heat exchangers. Geothermics. 2014;51:406–16.

    Article  Google Scholar 

  • Bandos TV, Montero A, Fernández E, Santander JLG, Isidro JM, Pérez J, et al. Finite line-source model for borehole heat exchangers: effect of vertical temperature variations. Geothermics. 2009;38(2):263–70.

    Article  Google Scholar 

  • Bär K, Rühaak W, Welsch B, Schulte D, Homuth S, Sass I. Seasonal high temperature heat storage with medium deep borehole heat exchangers. Energy Procedia. 2015;76:351–60.

    Article  Google Scholar 

  • Bauer D, Heidemann W, Müller-Steinhagen H, Diersch HJG. Thermal resistance and capacity models for borehole heat exchangers. Int J Energy Res. 2011;35(4):312–20.

    Article  Google Scholar 

  • Beier RA, Acuña J, Mogensen P, Palm B. Transient heat transfer in a coaxial borehole heat exchanger. Geothermics. 2014;51:470–82.

    Article  Google Scholar 

  • Carslaw HS, Jaeger JC. Conduction of heat in solids. Oxford: Claremore Press; 1947. p. 257–65.

    Google Scholar 

  • Chen C, Shao H, Naumov D, Kong Y, Tu K, Kolditz O. Numerical investigation on the performance, sustainability, and efficiency of the deep borehole heat exchanger system for building heating. Geotherm Energy. 2019;7(1):1–26.

    Article  Google Scholar 

  • Claesson J, Hellström G. Multipole method to calculate borehole thermal resistances in a borehole heat exchanger. HVAC&R Res. 2011;17(6):895–911.

    Google Scholar 

  • De Carli MD, Tonon M, Zarrella A, Zecchin R. A computational capacity resistance model (CaRM) for vertical ground-coupled heat exchangers. Renew Energy. 2010;35(7):1537–50.

    Article  Google Scholar 

  • Diersch HJG. FEFLOW: finite element modeling of flow, mass and heat transport in porous and fractured media. Berlin: Springer; 2014.

    Book  Google Scholar 

  • Erol S, Bertrand F. Multilayer analytical model for vertical ground heat exchanger with groundwater flow. Geothermics. 2018;71:294–305.

    Article  Google Scholar 

  • Eskilson P. Thermal analysis of heat extraction boreholes. Doctoral Thesis, Department of Mathematical Physics, University of Lund, Sweden; 1987.

  • Hellström G. Ground heat storage thermal analysis of duct storage systems. Doctoral Thesis, Department of Mathematical Physics, University of Lund, Sweden; 1991.

  • Hellström G, Sanner B. Earth energy designer: software for dimensioning of deep boreholes for heat extraction. Lund: Lund University; 1994. p. 185–92.

    Google Scholar 

  • Holmberg H, Acuña J, Næss E, Sønju OK. Deep borehole heat exchangers, application to ground source heat pump systems. In: Proceed World Geothermal Congress. 2015.

  • Kim EJ, Bernier M, Cauret O, Roux JJ. A hybrid reduced model for borehole heat exchangers over different time-scales and regions. Energy. 2014;77:318–26.

    Article  Google Scholar 

  • Kolditz O, Bauer S, Bilke L, Böttcher N, Delfs JO, Fischer T, et al. OpenGeoSys: an open-source initiative for numerical simulation of thermo-hydro-mechanical/chemical (THM/C) processes in porous media. Environ Earth Sci. 2012;67(2):589–99.

    Article  Google Scholar 

  • Le Lous M, Larroque F, Dupuy A, Moignard A. Thermal performance of a deep borehole heat exchanger: insights from a synthetic coupled heat and flow model. Geothermics. 2015;57:157–72.

    Article  Google Scholar 

  • Li M, Lai ACK. Heat-source solution to heat conduction in anisotropic media with application to pile and borehole ground heat exchangers. Appl Energy. 2012;96:451–8.

    Article  Google Scholar 

  • Li M, Lai ACK. Analytical model for short-time responses of ground heat exchangers with U-shaped tubes: model development and validation. Appl Energy. 2013;104:510–6.

    Article  Google Scholar 

  • Li M, Lai ACK. Review of analytical models for heat transfer by vertical ground heat exchangers (GHEs): a perspective of time and space scales. Appl Energy. 2015;151:178–91.

    Article  Google Scholar 

  • Li M, Li P, Chan V, Lai ACK. Full-scale temperature response function (G-function) for heat transfer by borehole ground heat exchangers (GHEs) from sub-hour to decades. Appl Energy. 2014;136:197–205.

    Article  Google Scholar 

  • Li XX, Hu XM, Zhang ZW. Calculation method of thermal response radius for vertical borehole heat exchangers. Transact Chin SocAgricEng. 2015;31(17):248–53.

    Google Scholar 

  • Liu J. Discussion on several basic problems of underground heat transfer process of ground source heat pump system. Doctoral Thesis, Tongji University, China; 2010.

  • Mingzhi Y, Tenteng M, Kai Z, Ping C, Aijuan H, Zhaohong F. Simplified heat transfer analysis method for large-scale boreholes ground heat exchangers. Energy Build. 2016;116:593–601.

    Article  Google Scholar 

  • Molina GN, Blum P, Zhu K, Bayer P, Fang Z. A moving finite line source model to simulate borehole heat exchangers with groundwater advection. Int J ThermSci. 2011;50(12):2506–13.

    Article  Google Scholar 

  • Rees SJ, He M. A three-dimensional numerical model of borehole heat exchanger heat transfer and fluid flow. Geothermics. 2013;46:1–13.

    Article  Google Scholar 

  • Rivera JA, Blum P, Bayer P. Ground energy balance for borehole heat exchangers: vertical fluxes, groundwater and storage. Renew Energy. 2015;83:1341–51.

    Article  Google Scholar 

  • Saadi MS, Gomri R. Investigation of dynamic heat transfer process through coaxial heat exchangers in the ground. Int J Hydrog Energy. 2017;42(28):1–17.

    Article  Google Scholar 

  • Sapinska-Sliwa A, Rosen MA, Gonet A, Sliwa T. Deep borehole heat exchangers—a conceptual and comparative review. Int J Air Cond Refrig. 2016;24(1):1630001–15.

    Article  Google Scholar 

  • Schulte DO. Simulation and optimization of medium deep borehole thermal energy storage systems. Doctoral Thesis, Technische Universitat, Darmstadt; 2016.

  • Schulte DO, Rühaak W, Oladyshkin S, Welsch B, Sass I. Optimization of medium-deep borehole thermal energy storage systems. Energy Technol. 2016;4(1):104–13.

    Article  Google Scholar 

  • Seama KF, Rosen MA. Review of the modeling of thermally interacting multiple boreholes. Sustainability. 2013;5(6):2519–36.

    Article  Google Scholar 

  • Welsch B, Rühaak W, Schulte DO, Bär K, Sass I. Characteristics of medium deep borehole thermal energy storage. Int J Energy Res. 2016;40:1855–68.

    Article  Google Scholar 

  • Welsch B, Schulte DO, Rühaak W, Bär K, Sass I. Thermal impact of medium deep borehole thermal energy storage on the shallow subsurface. In: EGU General Assembly Conference Abstracts. 2017.

  • Zarrella A, Emmi G, De Carli M. A simulation-based analysis of variable flow pumping in ground source heat pump systems with different types of borehole heat exchangers: a case study. Energy Convers Manag. 2017;131:135–50.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zhonghe Pang.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhao, Y., Pang, Z., Huang, Y. et al. Correction to: An efficient hybrid model for thermal analysis of deep borehole heat exchangers. Geotherm Energy 9, 7 (2021). https://doi.org/10.1186/s40517-021-00191-2

Download citation

  • Published:

  • DOI: https://doi.org/10.1186/s40517-021-00191-2