Skip to main content
SpringerLink
Log in

A fast explicit finite difference method for determination of wellhead injection pressure

  • Published:
Journal of Central South University Aims and scope Submit manuscript

Abstract

A fast explicit finite difference method (FEFDM), derived from the differential equations of one-dimensional steady pipe flow, was presented for calculation of wellhead injection pressure. Recalculation with a traditional numerical method of the same equations corroborates well the reliability and rate of FEFDM. Moreover, a flow rate estimate method was developed for the project whose injection rate has not been clearly determined. A wellhead pressure regime determined by this method was successfully applied to the trial injection operations in Shihezi formation of Shenhua CCS Project, which is a good practice verification of FEFDM. At last, this method was used to evaluate the effect of friction and acceleration terms on the flow equation on the wellhead pressure. The result shows that for deep wellbore, the friction term can be omitted when flow rate is low and in a wide range of velocity the acceleration term can always be deleted. It is also shown that with flow rate increasing, the friction term can no longer be neglected.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. ANDREWS A, FOLGER P, HUMPHRIES M, COPELAND C, TIEMAN M, MELTZ R, BROUGHER C. Unconventional gas shales: Development, technology, and policy issues [R]. CRS Report for Congress, R40894, 2009-08-30.

  2. PRUESS K. Enhanced geothermal systems (EGS) using CO2 as working fluid-A novel approach for generating renewable energy with simultaneous sequestration of carbon [J]. Geothermics, 2006, 35: 351–367.

    Article  Google Scholar 

  3. BACHU S, GUNTER W D. Overview of acid-gas injection operations in Western Canada [C]// Proc 7th Intl Conf on Greenhouse Gas Control Technologies. Vancouver, Canada, 2004: 443–448.

  4. RZASA M J, KATZ D L. Calculation of static pressure gradient in gas wells [J]. Petroleum Transactions, AIME, 1945, 160(1): 100–106.

    Google Scholar 

  5. SUKKAR Y K, CORNELL D. Direct calculation of bottom hole pressures in natural gas wells [J]. Petroleum Transactions, AIME, 1955, 204: 43–48.

    Google Scholar 

  6. CULLENDER M H, SMITH R V. Practical solution of gas-flow equations for wells and pipelines with large temperature gradients [J]. Petroleum Transactions, AIME, 1956, 207: 281–287.

    Google Scholar 

  7. YANG Wei, HUANG Wei. A new method for calculating bottom-hole pressure of gas well [J]. 1995, 15(3): 53–60. (in Chinese)

    Google Scholar 

  8. KATZ D, CORNELL D, KOBAYASHI R, POETTMANN F H, VARY J A, ELENBAAS J R, WEINAUG C F. Handbook of natural gas engineering [M]. New York: McGraw-Hill, 1959: 298–301.

    Google Scholar 

  9. MESSER P H, RAGHAVAN RAMEY H J Jr. Calculation of bottom-hole pressures for deep, hot, sour gas wells [J]. Journal of Petroleum Technology, 1974, 26(1): 85–92.

    Article  Google Scholar 

  10. NG H J, CARROLL J J, MADDOCKS J R. Impact of thermophysical properties research on acid-gas injection process design [C]// Proceedings of the 78th Gas Processors Association Annual Convention, Nashville, TN, USA: 1999, 114–120.

  11. HASHIM E T, MALOKA I E. Static bottom-hole pressures in wells [J]. Petroleum Science and Technology, 2006, 24(1): 113–116.

    Article  Google Scholar 

  12. IKOKU C U. Natural gas production engineering [M]. 1st ed. New York, John Wiley & Sons, 1984: 310–327.

    Google Scholar 

  13. LEE J, WATTENBARGER R A. Gas reservoir engineering. Richardson [M]. Texas: Society of Petroleum Engineers Textbook, 1996: 58–66.

    Google Scholar 

  14. LEA J, NICKENS H V, WELLS M. Gas well deliquification: Solutions to gas well liquid loading problems [M]. 1st ed. Houston, Texas, USA: ULF Professional Pub, 2003: 56.

    Google Scholar 

  15. GUO B, GHALAMBOR A. Natural gas engineering handbook [M]. 1st ed. Houston, Texas, USA: Gulf Publishing Co, 2005: 52–56.

    Google Scholar 

  16. AYALA H L F, KARPYN Z T. On the calculation of static bottom-hole pressures in gas wells [J]. Petroleum Science and Technology, 2007, 25(8): 1099–1104.

    Article  Google Scholar 

  17. LI Ying-chuan. A numerical method for calculating bottom-hole pressures in gas wells [J]. Journal of Southwestern Petroleum Institute, 1989, 11(4): 63–69.

    Google Scholar 

  18. TIAN Yuan, CHEN Xiao-jie, YUAN Zong-ming, HE San, XIE Ying. Development of analytical design equation for a new kind of gas pipelines [J]. Guangzhou Chemical Industry, 2009, 37(2): 199–212.

    Google Scholar 

  19. HUANG Wei, YANG Wei. A new method for calculating bottom-hole pressure of gas well [J]. Natural Gas Industry, 2001, 21(4): 75–77. (in Chinese)

    Google Scholar 

  20. CARROLL J J, LUI D W. Density, phase behavior keys to acid gas injection [J]. Oil and Gas Journal, 1997, 95(25): 63–72.

    Google Scholar 

  21. JOHN J, CARROLL, JAMES R. Maddocks, design considerations for acid gas injection [R]. Gas Liquids Engineering Ltd, 1999.

  22. ZHOU Jing, CHEN Jing-yuan, GAO Pei-cheng, TANG Hong-jun. Flow model of acid gas re-injection in wellbore [J]. Natural Gas Industry, 2005, 25(8): 76–78. (in Chinese)

    Google Scholar 

  23. WANG Qing, WU Xiao-dong. Study on temperature and pressure profiles and its influencing factors in CO2 injection wellbore [J]. Science Technology and Engineering, 2009, 9(18): 5330–5334.

    Google Scholar 

  24. LI Chang-jun. Natural gas pipeline transportation [M]. Beijing: Petroleum industry Press, 2000: 8.

    Google Scholar 

  25. GUO Xu-qiang, RONG Shu-xia, YANG Ji-tao, GUO Tian-min. Viscosity model based on EOS of PR [J]. Acta Petrol EI Sinica, 1999, 20(3): 56–61. (in Chinese)

    Google Scholar 

  26. RAMY H J Jr. Wellbore heat transmission [J]. Journal of Petroleum Technology, 1962, 14(4): 427–435.

    Google Scholar 

  27. TANG Ren-xuan. Research on the distribution of temperature and pressure in CO2-injecion wellbore [J]. Well Testing and Production Technology, 2007, 28(1): 53–57.

    Google Scholar 

  28. WAN Ren-pu, LUO Ying-jun. Technical manuals of petroleum exploitation (the 8th volume) [M]. Beijing: Petroleum industry Press, 2001: 136–150.

    Google Scholar 

  29. REN Zhan-li, ZHANG Sheng, GAO Sheng-li, CUI Jun-ping, XIAO Yuan-yuan, XIAO Hui. Tectonic thermal history and its significance on the formation of oil and gas accumulation and mineral deposit in Ordos Basin [J]. Science in China Series D: Earth Sciences, 2007, 50(S2): 27–38.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. State Key Laboratory of Geomechanics and Geotechnical Engineering (Institute of Rock and Soil Mechanics, Chinese Academy of Sciences), Wuhan, 430071, China

    Bing Bai  (白冰), Xiao-chun Li  (李小春), Ming-ze Liu  (刘明泽), Lu Shi  (石露) & Qi Li  (李琦)

Authors
  1. Bing Bai  (白冰)
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Xiao-chun Li  (李小春)
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ming-ze Liu  (刘明泽)
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Lu Shi  (石露)
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Qi Li  (李琦)
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bing Bai  (白冰).

Additional information

Foundation item: Project(Z110803) supported by the State Key Laboratory of Geomechanics and Geotechnical Engineering, China; Project(2008AA062303) supported by the National High Technology Research and Development Program of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bai, B., Li, Xc., Liu, Mz. et al. A fast explicit finite difference method for determination of wellhead injection pressure. J. Cent. South Univ. 19, 3266–3272 (2012). https://doi.org/10.1007/s11771-012-1403-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11771-012-1403-9

Key words

Search

Navigation