Single-Phase Inflow Performance Relationship for Horizontal, Pinnate-Branch Horizontal, and Radial-Branch Wells
- Huiqing Liu (China University of Petroleum) | Jing Wang (China University of Petroleum) | Jian Zheng (China University of Petroleum) | Ying Zhang (Liaohe Oil Field Company, CNPC)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- December 2012
- Document Type
- Journal Paper
- 219 - 232
- 2012. Society of Petroleum Engineers
- 5.6.8 Well Performance Monitoring, Inflow Performance, 4.6 Natural Gas
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- 663 since 2007
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Horizontal and multibranch wells are likely to become the major means of modern exploitation strategies; inflow performances for these wells are needed. Because this paper considers the finite conductivity of a horizontal well, it establishes the inflow performance relationships (IPRs) for different branch configurations of horizontal wells. We find that the IPR of a horizontal well presents nonlinear characteristics and is similar to Vogel's equation, which has been used extensively and successfully for analyzing the IPR of a vertical well in a solution-gas-drive reservoir. Instead of the effect of a two-phase (oil and gas) flow in a reservoir described by Vogel's equation, the nonlinear characteristics of horizontal wells are mainly the result of pressure drops caused by friction, acceleration, and gravity along the horizontal wellbore. The nonlinearity coefficient presents the pressure drop along the major branch, and it is a function of major-wellbore length, major-wellbore diameter, oil viscosity, and relative roughness. Then, the horizontal-well IPR is used to study the performance of the pinnate-branch horizontal well and the radial-branch (horizontal lateral) well. The branch number, branch length, major-wellbore length, major-wellbore diameter, oil viscosity, and relative roughness are combined into grouped parameters to present the effect on the deliverability incremental ratio JH and the nonlinearity coefficient ratio RV of the pinnate-branch horizontal well to the conventional horizontal well, which show regression relationships with the grouped parameters for pinnate-branch horizontal wells. In addition, another binomial relationship between the deliverability incremental ratio JV and the grouped parameter combined by branch number, branch length, and equivalent oil drainage diameter is obtained for radial-branch (horizontal lateral) wells. The new IPR also covers conventional horizontal wells and vertical wells (with no branch) because the deliverability incremental ratios JH and JV in both cases are unity. The IPR is very valuable for calculating the productivity of horizontal wells, pinnate-branch horizontal wells, and radial-branch wells.
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Bendakhlia, H. and Aziz, K. 1989. Inflow Performance Relationships forSolution-Gas Drive Horizontal Wells. Paper SPE19823 presented at the 64thAnnual Technical Conference and Exhibition of the Society of PetroleumEngineers, San Antonio, Texas, 8-11 October. http://dx.doi.org/10.2118/19823-MS.
Brown, K.E. 1984. The Technology of Artificial Lift Methods. Tulsa,Oklahoma: Penn Well Publishing Company.
Cheng, A.M. 1990. Inflow Performance Relationships for Solution-Gas-DriveSlanted/Horizontal Wells. Paper SPE20720 presented at the 65th Annual TechnicalConference and Exhibition, New Orleans, Louisiana, 23-26 September. http://dx.doi.org/10.2118/20720-MS.
Colebrook, C.F. and White, C.M. 1937. Experiments with Fluid FrictionRoughened Pipes. Proc. R. Soc. Lond. A 161: 367-381. http://dx.doi.org/10.1098/rspa.1937.0150.
Dikken, B.J. 1990. Pressure Drop in Horizontal Wells and Its Effect onProduction Performance. J. Pet Tech 42 (11): 1426-1433. http://dx.doi.org/10.2118/19824-PA.
Islam, M.R. and Chakma, A. 1990. Comprehensive Physical and NumericalModeling of a Horizontal Well. Paper SPE20627 presented at the 65th SPE AnnualTechnical Conference and Exhibition, New Orleans, Louisiana, 23-26 September.http://dx.doi.org/10.2118/20627-MS.
Kinney, R. 1968. Fully Developed Frictional and Heat-TransferCharacteristics of Laminar Flow in Porous Tubes. Int. J. Heat MassTransfer 11 (9): 1393-1401. http://dx.doi.org/10.1016/0017-9310(68)90184-1.
Liu, H.Q., Wu, X.D., and Zhang, Q. 1996. Methodology of IPR Study for SteamStimulation in Horizontal Well. Paper SPE37146 presented at the SPEInternational Conference on Horizontal Well Technology, Calgary, Canada, 18-20November. http://dx.doi.org/10.2118/37146-MS.
Liu, H.Q. and Zhang, Q. 1999. Inflow Performance Relationship for SteamStimulation Well. Journal of University of Petroleum, China (in Chinese,abstract in English) 23 (3): 32-36. http://dx.doi.org/CNKI:SUN:SYDX.0.1999-03-008.
Ouyang, L. and Aziz, K. 1996. Steady-State Gas Flow in Pipes. J.Petroleum Science and Engineering 14 (3-4): 137-158. http://dx.doi.org/10.1016/0920-4105(95)00042-9.
Ouyang, L.B., Arbabi, S., and Aziz, K. 1998a. General Wellbore Flow Modelfor Horizontal, Vertical, and Slanted Well Completions. SPE J. 3 (2): 124-133. http://dx.doi.org/10.2118/36608-PA.
Ouyang, L.B., Petalas, N., Arbabi, S. et al. 1998b. An Experimental Study ofSingle-Phase and Two-Phase Fluid Flow in Horizontal Wells. Paper SPE46221presented at the SPE Western Regional Meeting, Bakersfield, California, 10-13May. http://dx.doi.org/10.2118/46221-MS.
Ouyang, L.B., Thomas, L.K., Evans, C.E. et al. 1997. Simple but AccurateEquations for Wellbore Pressure Drawdown Calculation. Paper SPE 38314 presentedat the SPE Western Regional Meeting, Long Beach, California, 25-27 June. http://dx.doi.org/10.2118/38314-MS.
Ozkan, E., Sarica, C., Haciislamoglu, M. et al. 1992. Effect of Conductivityon Horizontal Well Pressure Behavior. Paper SPE 24683 presented at the 67th SPEAnnual Technical Conference and Exhibition, Washington, DC, 4-7 October. http://dx.doi.org/10.2118/24683-MS.
Ozkan, E., Sarica, C., Haciislamoglu, M. et al. 1995. Effect of Conductivityon Horizontal Well Pressure Behavior. SPE Advanced Technology Series3 (1): 85-94. http://dx.doi.org/10.2118/24683-PA.
Penmatcha, V.R., Arbabi, S., and Aziz, K. 1997. Effects of Pressure Drop inHorizontal Wells and Optimum Well Length. Paper SPE37494 presented at the SPEProduction Operations Symposium, Oklahoma City, Oklahoma, 9-11 March. http://dx.doi.org/10.2118/37494-MS.
Retnanto, A. and Economides, M.J. 1998. Inflow Performance Relationships ofHorizontal and Multibranched Wells in a Solution-Gas-Drive Reservoir. PaperSPE50659 presented at the European Petroleum Conference, The Hague, TheNetherlands, 20-22 October. http://dx.doi.org/10.2118/50659-MS.
Schulkes, R.M.S.M. and Utvik, O.H. 1998. Pressure Drop in a Perforated PipeWith Radial Inflow: Single-Phase Flow. SPE J. 3 (1): 77-85.http://dx.doi.org/10.2118/38448-PA.
Seines, K., Aavatsmark, I., Lien, S.C. et al. 1993. Considering WellboreFriction Effects in Planning Horizontal Wells. J. Pet Tech 45(10): 994-999. http://dx.doi.org/10.2118/21124-PA.
Su, Z. and Gudmundsson, J.S. 1994. Pressure Drop in Perforated Pipes:Experiments and Analysis. Paper SPE28800 presented at the SPE Asia Pacific Oiland Gas Conference, Melbourne, Australia, 7-10 November. http://dx.doi.org/10.2118/28800-MS.
Vogel, J.V. 1968. Inflow Performance Relationships for Solution-Gas DriveWells. J. Pet Tech 20 (1): 83-92. http://dx.doi.org/10.2118/1476-PA.
Wolfsteiner, C., Durlofsky, L.J., and Aziz, K. 1999. An Approximate Modelfor the Productivity of Non-Conventional Wells in Heterogeneous Reservoirs.Paper SPE56754 presented at the 74th SPE Annual Technical Original Conferenceand Exhibition, Houston, Texas, 3-6 October. http://dx.doi.org/10.2118/56754-MS.
Zhao, L.X., Jiang, M.H., and Zhao, X.F. 2006. Research on DeliverabilityRelationship of Complicated Horizontal Well. Journal of China University ofPetroleum (in Chinese with abstract in English) 30 (3): 77-80.http://dx.doi.org/CNKI:SUN:SYDX.0.2006-03-017.