IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v12y2019i7p1211-d217905.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/12/7/1211/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/12/7/1211/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    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. 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.

    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. 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.
    2. Ma, Yuanyuan & Li, Shibin & Zhang, Ligang & Liu, Songze & Liu, Zhaoyi & Li, Hao & Shi, Erxiu & Zhang, Haijun, 2020. "Numerical simulation study on the heat extraction performance of multi-well injection enhanced geothermal system," Renewable Energy, Elsevier, vol. 151(C), pages 782-795.
    3. Pan, Shu-Yuan & Gao, Mengyao & Shah, Kinjal J. & Zheng, Jianming & Pei, Si-Lu & Chiang, Pen-Chi, 2019. "Establishment of enhanced geothermal energy utilization plans: Barriers and strategies," Renewable Energy, Elsevier, vol. 132(C), pages 19-32.
    4. Asai, Pranay & Panja, Palash & McLennan, John & Moore, Joseph, 2019. "Efficient workflow for simulation of multifractured enhanced geothermal systems (EGS)," Renewable Energy, Elsevier, vol. 131(C), pages 763-777.
    5. Asai, Pranay & Panja, Palash & McLennan, John & Deo, Milind, 2019. "Effect of different flow schemes on heat recovery from Enhanced Geothermal Systems (EGS)," Energy, Elsevier, vol. 175(C), pages 667-676.
    6. Gao, Xiang & Li, Tailu, 2022. "Synergetic characteristics of three-dimensional transient heat transfer in geothermal reservoir combined with power conversion for enhanced geothermal system," Renewable Energy, Elsevier, vol. 192(C), pages 216-230.
    7. Akdas, Satuk Bugra & Onur, Mustafa, 2022. "Analytical solutions for predicting and optimizing geothermal energy extraction from an enhanced geothermal system with a multiple hydraulically fractured horizontal-well doublet," Renewable Energy, Elsevier, vol. 181(C), pages 567-580.
    8. Chen, Tairu & Liu, Gang & Liao, Shengming, 2019. "Impacts of boundary conditions on reservoir numerical simulation and performance prediction of enhanced geothermal systems," Energy, Elsevier, vol. 181(C), pages 202-213.
    9. Meng, Nan & Li, Tailu & Wang, Jianqiang & Jia, Yanan & Liu, Qinghua & Qin, Haosen, 2020. "Synergetic mechanism of fracture properties and system configuration on techno-economic performance of enhanced geothermal system for power generation during life cycle," Renewable Energy, Elsevier, vol. 152(C), pages 910-924.
    10. Ma, Yuanyuan & Li, Shibin & Zhang, Ligang & Liu, Songze & Liu, Zhaoyi & Li, Hao & Shi, Erxiu & Liu, Xuemei & Liu, Hongliang, 2020. "Analysis on the heat extraction performance of multi-well injection enhanced geothermal system based on leaf-like bifurcated fracture networks," Energy, Elsevier, vol. 213(C).
    11. Ma, Yuanyuan & Li, Shibin & Zhang, Ligang & Liu, Songze & Liu, Zhaoyi & Li, Hao & Shi, Erxiu, 2020. "Study on the effect of well layout schemes and fracture parameters on the heat extraction performance of enhanced geothermal system in fractured reservoir," Energy, Elsevier, vol. 202(C).
    12. Zhang, Qitao & Dahi Taleghani, Arash, 2023. "Autonomous fracture flow tunning to enhance efficiency of fractured geothermal systems," Energy, Elsevier, vol. 281(C).
    13. Li, Jiawei & Sun, Zhixue & Zhang, Yin & Jiang, Chuanyin & Cherubini, Claudia & Scheuermann, Alexander & Torres, Sergio Andres Galindo & Li, Ling, 2019. "Investigations of heat extraction for water and CO2 flow based on the rough-walled discrete fracture network," Energy, Elsevier, vol. 189(C).
    14. Olasolo, P. & Juárez, M.C. & Morales, M.P. & Olasolo, A. & Agius, M.R., 2018. "Analysis of working fluids applicable in Enhanced Geothermal Systems: Nitrous oxide as an alternative working fluid," Energy, Elsevier, vol. 157(C), pages 150-161.
    15. Zhang, Yu & Zhang, Yanjun & Zhou, Ling & Lei, Zhihong & Guo, Liangliang & Zhou, Jian, 2022. "Reservoir stimulation design and evaluation of heat exploitation of a two-horizontal-well enhanced geothermal system (EGS) in the Zhacang geothermal field, Northwest China," Renewable Energy, Elsevier, vol. 183(C), pages 330-350.
    16. Zhang, Jie & Xie, Jingxuan, 2020. "Effect of reservoir’s permeability and porosity on the performance of cellular development model for enhanced geothermal system," Renewable Energy, Elsevier, vol. 148(C), pages 824-838.
    17. Asai, Pranay & Panja, Palash & McLennan, John & Moore, Joseph, 2018. "Performance evaluation of enhanced geothermal system (EGS): Surrogate models, sensitivity study and ranking key parameters," Renewable Energy, Elsevier, vol. 122(C), pages 184-195.
    18. Zheng, Jun & Li, Peng & Dou, Bin & Fan, Tao & Tian, Hong & Lai, Xiaotian, 2022. "Impact research of well layout schemes and fracture parameters on heat production performance of enhanced geothermal system considering water cooling effect," Energy, Elsevier, vol. 255(C).
    19. 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).
    20. Yu Wang & Tianfu Xu & Yuxiang Cheng & Guanhong Feng, 2022. "Prospects for Power Generation of the Doublet Supercritical Geothermal System in Reykjanes Geothermal Field, Iceland," Energies, MDPI, vol. 15(22), pages 1-15, November.

    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:gam:jeners:v:12:y:2019:i:7:p:1211-:d:217905. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.