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A Semi-Analytical Method for Three-Dimensional Heat Transfer in Multi-Fracture Enhanced Geothermal Systems

Author

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  • Dongdong Liu

    (School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China)

  • Yanyong Xiang

    (School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China)

Abstract

Multiple fractures have been proposed for improving the heat extracted from an enhanced geothermal system (EGS). For calculating the production temperature of a multi-fracture EGS, previous analytical or semi-analytical methods have all been based on an infinite scale of fractures and one-dimensional conduction in the rock matrix. Here, a temporal semi-analytical method is presented in which finite-scale fractures and three-dimensional conduction in the rock matrix are both considered. Firstly, the developed model was validated by comparing it with the analytical solution, which only considers one-dimensional conduction in the rock matrix. Then, the temporal semi-analytical method was used to predict the production temperature in order to investigate the effects of fracture spacing and fracture number on the response of an EGS with a constant total injection rate. The results demonstrate that enlarging the spacing between fractures and increasing the number of fractures can both improve the heat extraction; however, the latter approach is much more effective than the former. In addition, the temporal semi-analytical method is applicable for optimizing the design of an EGS with multiple fractures located equidistantly or non-equidistantly.

Suggested Citation

  • Dongdong Liu & Yanyong Xiang, 2019. "A Semi-Analytical Method for Three-Dimensional Heat Transfer in Multi-Fracture Enhanced Geothermal Systems," Energies, MDPI, vol. 12(7), pages 1-11, March.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:7:p:1211-:d:217905
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    References listed on IDEAS

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    1. Xia, Yidong & Plummer, Mitchell & Mattson, Earl & Podgorney, Robert & Ghassemi, Ahmad, 2017. "Design, modeling, and evaluation of a doublet heat extraction model in enhanced geothermal systems," Renewable Energy, Elsevier, vol. 105(C), pages 232-247.
    2. Slatlem Vik, Hedda & Salimzadeh, Saeed & Nick, Hamidreza M., 2018. "Heat recovery from multiple-fracture enhanced geothermal systems: The effect of thermoelastic fracture interactions," Renewable Energy, Elsevier, vol. 121(C), pages 606-622.
    3. Luo, Jin & Luo, Zequan & Xie, Jihai & Xia, Dongsheng & Huang, Wei & Shao, Haibin & Xiang, Wei & Rohn, Joachim, 2018. "Investigation of shallow geothermal potentials for different types of ground source heat pump systems (GSHP) of Wuhan city in China," Renewable Energy, Elsevier, vol. 118(C), pages 230-244.
    4. Galgaro, Antonio & Farina, Zeno & Emmi, Giuseppe & De Carli, Michele, 2015. "Feasibility analysis of a Borehole Heat Exchanger (BHE) array to be installed in high geothermal flux area: The case of the Euganean Thermal Basin, Italy," Renewable Energy, Elsevier, vol. 78(C), pages 93-104.
    5. Zeng, Yu-Chao & Su, Zheng & Wu, Neng-You, 2013. "Numerical simulation of heat production potential from hot dry rock by water circulating through two horizontal wells at Desert Peak geothermal field," Energy, Elsevier, vol. 56(C), pages 92-107.
    6. Zeng, Yu-Chao & Wu, Neng-You & Su, Zheng & Wang, Xiao-Xing & Hu, Jian, 2013. "Numerical simulation of heat production potential from hot dry rock by water circulating through a novel single vertical fracture at Desert Peak geothermal field," Energy, Elsevier, vol. 63(C), pages 268-282.
    7. Olasolo, P. & Juárez, M.C. & Morales, M.P. & D´Amico, Sebastiano & Liarte, I.A., 2016. "Enhanced geothermal systems (EGS): A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 56(C), pages 133-144.
    8. Wu, Bisheng & Zhang, Xi & Jeffrey, Robert G. & Bunger, Andrew P. & Jia, Shanpo, 2016. "A simplified model for heat extraction by circulating fluid through a closed-loop multiple-fracture enhanced geothermal system," Applied Energy, Elsevier, vol. 183(C), pages 1664-1681.
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    Cited by:

    1. Mehrdad Massoudi, 2020. "Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications," Energies, MDPI, vol. 13(6), pages 1-4, March.
    2. Anna Wachowicz-Pyzik & Anna Sowiżdżał & Leszek Pająk & Paweł Ziółkowski & Janusz Badur, 2020. "Assessment of the Effective Variants Leading to Higher Efficiency for the Geothermal Doublet, Using Numerical Analysis‒Case Study from Poland (Szczecin Trough)," Energies, MDPI, vol. 13(9), pages 1-20, May.

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