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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
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.
Ros, D. J. Vertical flow of gas and liquid mixtures in wells. In 6th World Petroleum Congress. 1963.
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.
Orkiszewski, J. Predicting two-phase pressure drops in vertical pipe. Journal of Petroleum Technology, 1967. 19(06). 829-838.
Aziz, K., & Govier, G. W. Pressure drop in wells producing oil and gas. Journal of Canadian Petroleum Technology. 1972. 11(03).
Beggs, D. H., & Brill, J. P. A study of two-phase flow in inclined pipes. Journal of Petroleum technology. 1973. 25(05). 607-617.
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.
Mukherjee, H., & Brill, J. P. Pressure drop correlations for inclined two-phase flow. Journal of energy resources technology. 1985. 107(4). 549-554.
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.
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.
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.
Takacs, G. Considerations on the selection of an optimum vertical multiphase pressure drop prediction model for oil wells. SPE/ICoTA Coiled Tubing Roundtable. 2001.
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.
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.
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.
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.
Ivakhnenko, A. G. Group Method of Data Handling a Rival of the Method of Stochastic Approximation. Soviet Automatic Control. 1966. 13, 43-71.
Ivakhnenko, A. G. Polynomial Theory of Complex Systemq. IEEE Transections on System, Man and Cybernetics. 1971. 364-378.
Farlow, S. J. The GMDH algorithm of Ivakhnenko. The American Statistician. 1981. 35(4), 210-215.
Farlow, S. J. The GMDH algorithm,” in Self-Organizing Methods in Modeling: GMDH Type Algorithms. New York: Marcel-Dekker. 1984.
Jekabsons, G. GMDH-type Polynomial Neural Networks for Matlab. from http://www.cs.rtu.lv/jekabsons/.2010.
Acknowledgment
The authors would like to thank the Petroleum Engineering department at Universiti Teknologi PETRONAS for supporting this study.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights 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)