Skip to main content

Modeling Pressure Drop in Vertical Wells Using Group Method of Data Handling (GMDH) Approach

  • Conference paper
  • First Online:
ICIPEG 2014

Abstract

An accurate estimation of the pressure drop in well tubing is essential for the solution of a number of important production engineering and reservoir analysis problems. Several empirical correlations and mechanistic models have been proposed in the literature to estimate the pressure drop in vertical wells that produce a mixture of oil, water, and gas. Although many correlations and models are available to calculate the pressure loss, these models were developed based on a certain set of assumptions and for particular range of data where it may not be applicable for use in different conditions. In this paper, group methods of data handling (GMDH) is used to build a model to predict the pressure drop in multiphase vertical wells. The developed GMDH model has shown the outstanding results, and it has outperformed all empirical correlations and mechanistic models, which have been compared to. The analysis of the results also confirmed that the testing set achieves accurate estimation of the pressure drop. Trend analysis of the model showed that the model is correctly predicting the expected effects of the independent variables on pressure drop.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Poettman, F. H., & Carpenter, P. G. The Multiphase Flow of Gas Oil and Water through Vertical Flow Strings with Application to the Design of Gas-lift Installations. Drilling and Production Practice. 1952.

    Google Scholar 

  2. Ros, D. J. Vertical flow of gas and liquid mixtures in wells. In 6th World Petroleum Congress. 1963.

    Google Scholar 

  3. Hagedorn, A. R., & Brown, K. E. Experimental study of pressure gradients occurring during continuous two-phase flow in small-diameter vertical conduits. Journal of Petroleum Technology. 1965. 17(04). 475-484.

    Google Scholar 

  4. Orkiszewski, J. Predicting two-phase pressure drops in vertical pipe. Journal of Petroleum Technology, 1967. 19(06). 829-838.

    Google Scholar 

  5. Aziz, K., & Govier, G. W. Pressure drop in wells producing oil and gas. Journal of Canadian Petroleum Technology. 1972. 11(03).

    Google Scholar 

  6. Beggs, D. H., & Brill, J. P. A study of two-phase flow in inclined pipes. Journal of Petroleum technology. 1973. 25(05). 607-617.

    Google Scholar 

  7. Gray. H. E. Vertical flow correlation in Gas Wells: User’s Manual for API 14B Subsurface Controlled Subsurface Safety Valve String Computer Program. 1978. 2nd Edition (Appendix B). American Petroleum Institute. Dallas. TX.

    Google Scholar 

  8. Mukherjee, H., & Brill, J. P. Pressure drop correlations for inclined two-phase flow. Journal of energy resources technology. 1985. 107(4). 549-554.

    Google Scholar 

  9. Ansari, A. M., Sylvester, N. D., Sarica, C., Shoham, O., & Brill, J. P. A comprehensive mechanistic model for upward two-phase flow in wellbores. SPE Production & Facilities. 1994. 9(02). 143-151.

    Google Scholar 

  10. Gomez, L. E., Shoham, O., Schmidt, Z., Chokshi, R. N., & Northug, T. Unified mechanistic model for steady-state two-phase flow: horizontal to vertical upward flow. SPE journal. 2000. 5(03). 339-350.

    Google Scholar 

  11. Pucknell, J. K., Mason, J. N. E., & Vervest, E. G. An Evaluation of Recent” Mechanistic” Models of Multiphase Flow for Predicting Pressure Drops in Oil and Gas Wells. Offshore Europe. 1993.

    Google Scholar 

  12. Takacs, G. Considerations on the selection of an optimum vertical multiphase pressure drop prediction model for oil wells. SPE/ICoTA Coiled Tubing Roundtable. 2001.

    Google Scholar 

  13. Ayoub, M. A. Development and testing of an artificial neural network model for predicting bottomhole pressure in vertical multiphase flow (Doctoral dissertation, King Fahd University of Petroleum and Minerals). 2004.

    Google Scholar 

  14. Mohammadpoor, M., Shahbazi, K., Torabi, F., Firouz, Q., & Reza, A. A New Methodology for Prediction of Bottomhole Flowing Pressure in Vertical Multiphase Flow in Iranian Oil Fields Using Artificial Neural Networks (ANNs). In SPE Latin American and Caribbean Petroleum Engineering Conference. Society of Petroleum Engineers. 2010.

    Google Scholar 

  15. Jahanandish, I., Salimifard, B., & Jalalifar, H. Predicting bottomhole pressure in vertical multiphase flowing wells using artificial neural networks. Journal of Petroleum Science and Engineering. 2011. 75(3). 336-342.

    Google Scholar 

  16. Ayoub, M. A. Development and Testing of Universal Pressure Drop Model in Pipelines Using Abductive and Artificial Neural Networks. Bandar Seri Iskander. Perak: PhD Thesis. Universiti Teknologi Petronas. 2011.

    Google Scholar 

  17. Ivakhnenko, A. G. Group Method of Data Handling a Rival of the Method of Stochastic Approximation. Soviet Automatic Control. 1966. 13, 43-71.

    Google Scholar 

  18. Ivakhnenko, A. G. Polynomial Theory of Complex Systemq. IEEE Transections on System, Man and Cybernetics. 1971. 364-378.

    Google Scholar 

  19. Farlow, S. J. The GMDH algorithm of Ivakhnenko. The American Statistician. 1981. 35(4), 210-215.

    Google Scholar 

  20. Farlow, S. J. The GMDH algorithm,” in Self-Organizing Methods in Modeling: GMDH Type Algorithms. New York: Marcel-Dekker. 1984.

    Google Scholar 

  21. Jekabsons, G. GMDH-type Polynomial Neural Networks for Matlab. from http://www.cs.rtu.lv/jekabsons/.2010.

Download references

Acknowledgment

The authors would like to thank the Petroleum Engineering department at Universiti Teknologi PETRONAS for supporting this study.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohammed A. Ayoub .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer Science+Business Media Singapore

About this paper

Cite this paper

Ayoub, M.A., Negash, B.M., Saaid, I.M. (2015). Modeling Pressure Drop in Vertical Wells Using Group Method of Data Handling (GMDH) Approach. In: Awang, M., Negash, B., Md Akhir, N., Lubis, L. (eds) ICIPEG 2014. Springer, Singapore. https://doi.org/10.1007/978-981-287-368-2_6

Download citation

  • DOI: https://doi.org/10.1007/978-981-287-368-2_6

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-287-367-5

  • Online ISBN: 978-981-287-368-2

  • eBook Packages: EnergyEnergy (R0)

Publish with us

Policies and ethics