IDEAS home Printed from https://ideas.repec.org/a/eee/renene/v133y2019icp1124-1135.html
   My bibliography  Save this article

Modeling wellbore heat exchangers: Fully numerical to fully analytical solutions

Author

Listed:
  • Tang, Hewei
  • Xu, Boyue
  • Hasan, A. Rashid
  • Sun, Zhuang
  • Killough, John

Abstract

The successful modeling of wellbore heat exchangers requires tight coupling between the formation heat conduction and the wellbore thermal dynamics. In this paper, we developed three representative solutions: a fully numerical solution that treats both formation and wellbore numerically, a semi-numerical solution that treats formation analytically and wellbore numerically and a fully analytical solution that treats both formation and wellbore analytically. The outlet temperature, pressure, and heat flow rate predicted by the three solutions are compared. The results of this comparison indicate that the fully numerical solution is the only accurate solution for the early transient time. After the system reaches quasi-steady state, temperature and heat flow estimated from all three solutions are in very good agreement. The analysis of transient fluid properties and mass flow rates revealed that constant fluid property model cannot accurately estimate the pressure loss for the system. The newly proposed fully analytical solution is applied in an economic analysis problem for calculating the optimal insulation thickness and mass flow rate to minimize the cost of generated power.

Suggested Citation

  • Tang, Hewei & Xu, Boyue & Hasan, A. Rashid & Sun, Zhuang & Killough, John, 2019. "Modeling wellbore heat exchangers: Fully numerical to fully analytical solutions," Renewable Energy, Elsevier, vol. 133(C), pages 1124-1135.
    • Handle: RePEc:eee:renene:v:133:y:2019:i:c:p:1124-1135
    DOI: 10.1016/j.renene.2018.10.094
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960148118313004
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.renene.2018.10.094?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kędzierski, Piotr & Nagórski, Zdzisław & Niezgoda, Tadeusz, 2016. "Determination of local values of heat transfer coefficient in geothermal models with internal functions method," Renewable Energy, Elsevier, vol. 92(C), pages 506-516.
    2. Nian, Yong-Le & Cheng, Wen-Long, 2018. "Evaluation of geothermal heating from abandoned oil wells," Energy, Elsevier, vol. 142(C), pages 592-607.
    3. Song, Xianzhi & Wang, Gaosheng & Shi, Yu & Li, Ruixia & Xu, Zhengming & Zheng, Rui & Wang, Yu & Li, Jiacheng, 2018. "Numerical analysis of heat extraction performance of a deep coaxial borehole heat exchanger geothermal system," Energy, Elsevier, vol. 164(C), pages 1298-1310.
    4. Kujawa, Tomasz & Nowak, Władysław & Stachel, Aleksander A., 2006. "Utilization of existing deep geological wells for acquisitions of geothermal energy," Energy, Elsevier, vol. 31(5), pages 650-664.
    5. Bu, Xianbiao & Ma, Weibin & Li, Huashan, 2012. "Geothermal energy production utilizing abandoned oil and gas wells," Renewable Energy, Elsevier, vol. 41(C), pages 80-85.
    6. Mokhtari, Hamid & Hadiannasab, Hasti & Mostafavi, Mostafa & Ahmadibeni, Ali & Shahriari, Behrooz, 2016. "Determination of optimum geothermal Rankine cycle parameters utilizing coaxial heat exchanger," Energy, Elsevier, vol. 102(C), pages 260-275.
    7. Cheng, Wen-Long & Li, Tong-Tong & Nian, Yong-Le & Xie, Kun, 2014. "Evaluation of working fluids for geothermal power generation from abandoned oil wells," Applied Energy, Elsevier, vol. 118(C), pages 238-245.
    8. Cui, Guodong & Ren, Shaoran & Zhang, Liang & Ezekiel, Justin & Enechukwu, Chioma & Wang, Yi & Zhang, Rui, 2017. "Geothermal exploitation from hot dry rocks via recycling heat transmission fluid in a horizontal well," Energy, Elsevier, vol. 128(C), pages 366-377.
    9. Sayigh, Ali, 1999. "Renewable energy -- the way forward," Applied Energy, Elsevier, vol. 64(1-4), pages 15-30, September.
    10. Li, Min & Lai, Alvin C.K., 2015. "Review of analytical models for heat transfer by vertical ground heat exchangers (GHEs): A perspective of time and space scales," Applied Energy, Elsevier, vol. 151(C), pages 178-191.
    11. Caulk, Robert A. & Tomac, Ingrid, 2017. "Reuse of abandoned oil and gas wells for geothermal energy production," Renewable Energy, Elsevier, vol. 112(C), pages 388-397.
    12. Yang, Yi & Huo, Yaowu & Xia, Wenkai & Wang, Xurong & Zhao, Pan & Dai, Yiping, 2017. "Construction and preliminary test of a geothermal ORC system using geothermal resource from abandoned oil wells in the Huabei oilfield of China," Energy, Elsevier, vol. 140(P1), pages 633-645.
    13. Alimonti, C. & Soldo, E., 2016. "Study of geothermal power generation from a very deep oil well with a wellbore heat exchanger," Renewable Energy, Elsevier, vol. 86(C), pages 292-301.
    14. Alimonti, C. & Soldo, E. & Bocchetti, D. & Berardi, D., 2018. "The wellbore heat exchangers: A technical review," Renewable Energy, Elsevier, vol. 123(C), pages 353-381.
    15. Davis, Adelina P. & Michaelides, Efstathios E., 2009. "Geothermal power production from abandoned oil wells," Energy, Elsevier, vol. 34(7), pages 866-872.
    16. Barbier, Enrico, 2002. "Geothermal energy technology and current status: an overview," Renewable and Sustainable Energy Reviews, Elsevier, vol. 6(1-2), pages 3-65.
    17. Cheng, Wen-Long & Li, Tong-Tong & Nian, Yong-Le & Wang, Chang-Long, 2013. "Studies on geothermal power generation using abandoned oil wells," Energy, Elsevier, vol. 59(C), pages 248-254.
    18. Templeton, J.D. & Ghoreishi-Madiseh, S.A. & Hassani, F. & Al-Khawaja, M.J., 2014. "Abandoned petroleum wells as sustainable sources of geothermal energy," Energy, Elsevier, vol. 70(C), pages 366-373.
    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. Esmaeilpour, Morteza & Gholami Korzani, Maziar & Kohl, Thomas, 2023. "Stochastic performance assessment on long-term behavior of multilateral closed deep geothermal systems," Renewable Energy, Elsevier, vol. 208(C), pages 26-35.
    2. Wang, Gaosheng & Song, Xianzhi & Shi, Yu & Yang, Ruiyue & Yulong, Feixue & Zheng, Rui & Li, Jiacheng, 2021. "Heat extraction analysis of a novel multilateral-well coaxial closed-loop geothermal system," Renewable Energy, Elsevier, vol. 163(C), pages 974-986.
    3. Zhang, Jun, 2023. "Performance of high temperature steam injection in horizontal wells of heavy oil reservoirs," Energy, Elsevier, vol. 282(C).
    4. Hu, Xincheng & Banks, Jonathan & Guo, Yunting & Huang, Guangping & Liu, Wei Victor, 2021. "Effects of temperature-dependent property variations on the output capacity prediction of a deep coaxial borehole heat exchanger," Renewable Energy, Elsevier, vol. 165(P1), pages 334-349.
    5. Pokhrel, Sajjan & Sasmito, Agus P. & Sainoki, Atsushi & Tosha, Toshiyuki & Tanaka, Tatsuya & Nagai, Chiaki & Ghoreishi-Madiseh, Seyed Ali, 2022. "Field-scale experimental and numerical analysis of a downhole coaxial heat exchanger for geothermal energy production," Renewable Energy, Elsevier, vol. 182(C), pages 521-535.
    6. Hu, Xincheng & Banks, Jonathan & Guo, Yunting & Liu, Wei Victor, 2021. "Retrofitting abandoned petroleum wells as doublet deep borehole heat exchangers for geothermal energy production—a numerical investigation," Renewable Energy, Elsevier, vol. 176(C), pages 115-134.
    7. Theo Renaud & Patrick G. Verdin & Gioia Falcone, 2020. "Conjugated Numerical Approach for Modelling DBHE in High Geothermal Gradient Environments," Energies, MDPI, vol. 13(22), pages 1-18, November.
    8. Esmaeilpour, Morteza & Gholami Korzani, Maziar & Kohl, Thomas, 2022. "Impact of thermosiphoning on long-term behavior of closed-loop deep geothermal systems for sustainable energy exploitation," Renewable Energy, Elsevier, vol. 194(C), pages 1247-1260.
    9. Theo Renaud & Lehua Pan & Hannah Doran & Gioia Falcone & Patrick G. Verdin, 2021. "Numerical Analysis of Enhanced Conductive Deep Borehole Heat Exchangers," Sustainability, MDPI, vol. 13(12), pages 1-21, June.

    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. Nian, Yong-Le & Cheng, Wen-Long, 2018. "Insights into geothermal utilization of abandoned oil and gas wells," Renewable and Sustainable Energy Reviews, Elsevier, vol. 87(C), pages 44-60.
    2. Bu, Xianbiao & Ran, Yunmin & Zhang, Dongdong, 2019. "Experimental and simulation studies of geothermal single well for building heating," Renewable Energy, Elsevier, vol. 143(C), pages 1902-1909.
    3. Alimonti, C. & Soldo, E. & Bocchetti, D. & Berardi, D., 2018. "The wellbore heat exchangers: A technical review," Renewable Energy, Elsevier, vol. 123(C), pages 353-381.
    4. Kurnia, Jundika C. & Putra, Zulfan A. & Muraza, Oki & Ghoreishi-Madiseh, Seyed Ali & Sasmito, Agus P., 2021. "Numerical evaluation, process design and techno-economic analysis of geothermal energy extraction from abandoned oil wells in Malaysia," Renewable Energy, Elsevier, vol. 175(C), pages 868-879.
    5. Xie, Kun & Nian, Yong-Le & Cheng, Wen-Long, 2018. "Analysis and optimization of underground thermal energy storage using depleted oil wells," Energy, Elsevier, vol. 163(C), pages 1006-1016.
    6. C, Alimonti & P, Conti & E, Soldo, 2019. "A comprehensive exergy evaluation of a deep borehole heat exchanger coupled with a ORC plant: the case study of Campi Flegrei," Energy, Elsevier, vol. 189(C).
    7. Cheng, Sharon W.Y. & Kurnia, Jundika C. & Ghoreishi-Madiseh, Seyed Ali & Sasmito, Agus P., 2019. "Optimization of geothermal energy extraction from abandoned oil well with a novel well bottom curvature design utilizing Taguchi method," Energy, Elsevier, vol. 188(C).
    8. Jello, Josiane & Baser, Tugce, 2023. "Utilization of existing hydrocarbon wells for geothermal system development: A review," Applied Energy, Elsevier, vol. 348(C).
    9. Wang, Yi & Zhang, Liang & Cui, Guodong & Kang, Jun & Ren, Shaoran, 2019. "Geothermal development and power generation by circulating water and isobutane via a closed-loop horizontal well from hot dry rocks," Renewable Energy, Elsevier, vol. 136(C), pages 909-922.
    10. Hu, Xincheng & Banks, Jonathan & Wu, Linping & Liu, Wei Victor, 2020. "Numerical modeling of a coaxial borehole heat exchanger to exploit geothermal energy from abandoned petroleum wells in Hinton, Alberta," Renewable Energy, Elsevier, vol. 148(C), pages 1110-1123.
    11. Sun, Fengrui & Yao, Yuedong & Li, Guozhen & Li, Xiangfang, 2018. "Geothermal energy extraction in CO2 rich basin using abandoned horizontal wells," Energy, Elsevier, vol. 158(C), pages 760-773.
    12. Nian, Yong-Le & Cheng, Wen-Long, 2018. "Evaluation of geothermal heating from abandoned oil wells," Energy, Elsevier, vol. 142(C), pages 592-607.
    13. Yuhao Zhu & Kewen Li & Changwei Liu & Mahlalela Bhekumuzi Mgijimi, 2019. "Geothermal Power Production from Abandoned Oil Reservoirs Using In Situ Combustion Technology," Energies, MDPI, vol. 12(23), pages 1-21, November.
    14. Kędzierski, Piotr & Nagórski, Zdzisław & Niezgoda, Tadeusz, 2016. "Determination of local values of heat transfer coefficient in geothermal models with internal functions method," Renewable Energy, Elsevier, vol. 92(C), pages 506-516.
    15. Hu, Xincheng & Banks, Jonathan & Guo, Yunting & Huang, Guangping & Liu, Wei Victor, 2021. "Effects of temperature-dependent property variations on the output capacity prediction of a deep coaxial borehole heat exchanger," Renewable Energy, Elsevier, vol. 165(P1), pages 334-349.
    16. Sharma, P. & Al Saedi, A.Q. & Kabir, C.S., 2020. "Geothermal energy extraction with wellbore heat exchanger: Analytical model and parameter evaluation to optimize heat recovery," Renewable Energy, Elsevier, vol. 166(C), pages 1-8.
    17. Cheng, Wen-Long & Liu, Jian & Nian, Yong-Le & Wang, Chang-Long, 2016. "Enhancing geothermal power generation from abandoned oil wells with thermal reservoirs," Energy, Elsevier, vol. 109(C), pages 537-545.
    18. Hu, Xincheng & Banks, Jonathan & Guo, Yunting & Liu, Wei Victor, 2021. "Retrofitting abandoned petroleum wells as doublet deep borehole heat exchangers for geothermal energy production—a numerical investigation," Renewable Energy, Elsevier, vol. 176(C), pages 115-134.
    19. Jia, G.S. & Ma, Z.D. & Xia, Z.H. & Zhang, Y.P. & Xue, Y.Z. & Chai, J.C. & Jin, L.W., 2022. "A finite-volume method for full-scale simulations of coaxial borehole heat exchangers with different structural parameters, geological and operating conditions," Renewable Energy, Elsevier, vol. 182(C), pages 296-313.
    20. Gharibi, Shabnam & Mortezazadeh, Emad & Hashemi Aghcheh Bodi, Seyed Jalaledin & Vatani, Ali, 2018. "Feasibility study of geothermal heat extraction from abandoned oil wells using a U-tube heat exchanger," Energy, Elsevier, vol. 153(C), pages 554-567.

    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:eee:renene:v:133:y:2019:i:c:p:1124-1135. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/renewable-energy .

    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.