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A simplified model for heat extraction by circulating fluid through a closed-loop multiple-fracture enhanced geothermal system

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  • Wu, Bisheng
  • Zhang, Xi
  • Jeffrey, Robert G.
  • Bunger, Andrew P.
  • Jia, Shanpo

Abstract

Multiple hydraulic fractures have been proposed for improving the performance of an enhanced geothermal system (EGS) by providing conductive flow pathways and increased contact area between flowing fluid and surrounding rock formation. Use of more fractures incurs a higher drilling and hydraulic fracturing cost, but the additional cost can be offset by improved operation performance of an EGS. In this paper, a model is presented for efficiently predicting the output temperature so as to optimize the number of fractures and fracture spacing to maximize the EGS lifetime under a constant circulation rate. This optimal spacing is shown to arise due to the interplay among number of fractures, fracture spacing, well depth, and the pre-existing geothermal gradient. Specifically, under a typical geothermal gradient associated with EGS for a 5km total vertical depth of the well, the number of fractures N and the equal fracture spacing d have optimal values: 6⩽N⩽13 and 30m⩽d⩽90m. In addition, the semi-analytical solution method presented is effective and efficient in computation and, for this reason, is useful for optimizing the design of a geothermal reservoir with multiple layers at equal or non-equal spacing.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:appene:v:183:y:2016:i:c:p:1664-1681
    DOI: 10.1016/j.apenergy.2016.09.113
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    Cited by:

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    6. Hu, Zixu & Xu, Tianfu & Feng, Bo & Yuan, Yilong & Li, Fengyu & Feng, Guanhong & Jiang, Zhenjiao, 2020. "Thermal and fluid processes in a closed-loop geothermal system using CO2 as a working fluid," Renewable Energy, Elsevier, vol. 154(C), pages 351-367.
    7. 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.
    8. Arabkoohsar, Ahmad & Alsagri, Ali Sulaiman, 2020. "Thermodynamic analysis of ultralow-temperature district heating system with shared power heat pumps and triple-pipes," Energy, Elsevier, vol. 194(C).
    9. Song, Guofeng & Song, Xianzhi & Li, Gensheng & Shi, Yu & Wang, Gaosheng & Ji, Jiayan & Xu, Fuqiang & Song, Zihao, 2021. "An integrated multi-objective optimization method to improve the performance of multilateral-well geothermal system," Renewable Energy, Elsevier, vol. 172(C), pages 1233-1249.
    10. Kang, Fangchao & Li, Yingchun & Tang, Chun'an & Huang, Xin & Li, Tianjiao, 2022. "Competition between cooling contraction and fluid overpressure on aperture evolution in a geothermal system," Renewable Energy, Elsevier, vol. 186(C), pages 704-716.
    11. Wu, Bisheng & Zhang, Guangqing & Zhang, Xi & Jeffrey, Robert G. & Kear, James & Zhao, Tongtiegang, 2017. "Semi-analytical model for a geothermal system considering the effect of areal flow between dipole wells on heat extraction," Energy, Elsevier, vol. 138(C), pages 290-305.
    12. Shi, Yu & Song, Xianzhi & Wang, Gaosheng & McLennan, John & Forbes, Bryan & Li, Xiaojiang & Li, Jiacheng, 2019. "Study on wellbore fluid flow and heat transfer of a multilateral-well CO2 enhanced geothermal system," Applied Energy, Elsevier, vol. 249(C), pages 14-27.
    13. Shu, Biao & Zhu, Runjun & Zhang, Shaohe & Dick, Jeffrey, 2019. "A qualitative prediction method of new crack-initiation direction during hydraulic fracturing of pre-cracks based on hyperbolic failure envelope," Applied Energy, Elsevier, vol. 248(C), pages 185-195.
    14. Hou, Xinglan & Zhong, Xiuping & Nie, Shuaishuai & Wang, Yafei & Tu, Guigang & Ma, Yingrui & Liu, Kunyan & Chen, Chen, 2023. "Numerical simulation study of intermittent heat extraction from hot dry rock using horizontal well based on thermal compensation," Energy, Elsevier, vol. 272(C).
    15. Shu, Biao & Zhu, Runjun & Elsworth, Derek & Dick, Jeffrey & Liu, Shun & Tan, Jingqiang & Zhang, Shaohe, 2020. "Effect of temperature and confining pressure on the evolution of hydraulic and heat transfer properties of geothermal fracture in granite," Applied Energy, Elsevier, vol. 272(C).
    16. Song, Xianzhi & Shi, Yu & Li, Gensheng & Yang, Ruiyue & Wang, Gaosheng & Zheng, Rui & Li, Jiacheng & Lyu, Zehao, 2018. "Numerical simulation of heat extraction performance in enhanced geothermal system with multilateral wells," Applied Energy, Elsevier, vol. 218(C), pages 325-337.
    17. Ziabakhsh-Ganji, Zaman & Nick, Hamidreza M. & Donselaar, Marinus E. & Bruhn, David F., 2018. "Synergy potential for oil and geothermal energy exploitation," Applied Energy, Elsevier, vol. 212(C), pages 1433-1447.
    18. Guo, Tiankui & Tang, Songjun & Sun, Jiang & Gong, Facheng & Liu, Xiaoqiang & Qu, Zhanqing & Zhang, Wei, 2020. "A coupled thermal-hydraulic-mechanical modeling and evaluation of geothermal extraction in the enhanced geothermal system based on analytic hierarchy process and fuzzy comprehensive evaluation," Applied Energy, Elsevier, vol. 258(C).

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