Laminar and Turbulent Friction Factors for Annular Flow of Drag-Reducing Polymer Solutions in Coiled-Tubing Operations
- Chinenye C. Ogugbue (University of Oklahoma) | Subhash Shah (University of Oklahoma)
- Document ID
- Society of Petroleum Engineers
- SPE Drilling & Completion
- Publication Date
- December 2011
- Document Type
- Journal Paper
- 506 - 518
- 2011. Society of Petroleum Engineers
- 4.3.4 Scale, 3 Production and Well Operations
- coiled tubing, friction pressures, laminar, turbulent, eccentric annulus
- 1 in the last 30 days
- 830 since 2007
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The challenge of theoretical and numerical studies of annular fluid flow with varying eccentricity is mainly a result of the required coordinate systems. Computational-fluid-dynamics (CFD) modeling provides the state-of-the-art approach of investigating fluid flow in such complex geometries. In this study, results from a series of numerical simulations for the fully developed laminar flow of non-Newtonian power-law fluids in concentric and eccentric annular geometries are used to investigate the effect of eccentricity, flow-behavior index, and diameter ratio (ratio of the outer diameter of the inner tubing to the inner diameter of the outer tubing) on axial frictional pressure losses.
The frictional pressure-loss gradients predicted by the CFD simulations were verified by comparing with the published studies and flow data from a field-scale experimental set-up. At a constant flow rate, it is confirmed that frictional pressure losses decrease with increasing eccentricity. A good agreement was obtained with the Haciislamoglu et al. correlation, and the results of this study, especially at low values of eccentricity. At very high eccentricities, data from the CFD model yield lower frictional pressure loss compared to Haciislamoglu et al. correlation. This type of expression is obtained and the improved data of this study is incorporated.
Next, this paper presents the results of an experimental study carried out to investigate frictional pressure-loss behavior of drag-reducing polymer solutions, flowing turbulently through an eccentric annulus. The experimental setup includes 30 ft of 3 1/2 x 2 3/8-in., 200 ft of 3 1/2 x 1 3/4-in., 69 ft of 5 1/2 x 4-in., and 79 ft of 5 x 3 1/2-in. fully eccentric annuli. Data analysis enabled the development of a new correlation using fluid apparent viscosity at 511 sec-1, generalized Reynolds number, and diameter ratio, all of which can be easily determined in the field, as independent variables. These new correlations for laminar and turbulent flow of drag-reducing polymer solutions present an improvement to existing correlations, and also permit undemanding hydraulic-program calculations for varying annular configurations.
|File Size||3 MB||Number of Pages||13|
Akgun, F. and Jawad, R.H. 2007. Determination of friction factor of fluidsflowing turbulently through an eccentric annulus. International Journal ofPetroleum Science and Technology 1 (1 June 2007): 37-49.
Bern, P.A., Morton, K., Zamora, M., et al. 2007. Modernization of the APIRecommended Practice on Rheology and Hydraulics: Creating Easy Access toIntegrated Wellbore Fluids Engineering. SPE Drill & Compl 22 (3): 197-204. SPE-98743-PA. http://dx.doi.org/10.2118/98743-PA.
Bourne, D.E., Figueiredo, O., and Charles, M.E. 1968. Laminar and turbulentflow in annuli of unit eccentricity. The Canadian Journal of ChemicalEngineering 46 (5): 289-293. http://dx.doi.org/10.1002/cjce.5450460501.
Chen, N.H. 1979. An Explicit Equation for Friction Factor in Pipe. Ind.Eng. Chem. Fundam. 18 (3): 296-297. http://dx.doi.org/10.1021/i160071a019.
Chen, X. 2004. Application of Computational Fluid Dynamics (CFD) to FlowSimulation and Erosion Prediction in Single-Phase and Multiphase Flow. PhDdissertation, The University of Tulsa, Tulsa, Oklahoma.
Demirdal, B. and Cunha, J.C. 2007. Pressure Losses Of Non-Newtonian FluidsIn Drilling Operations. Paper SPE 108711 presented at the International OilConference and Exhibition in Mexico, Veracruz, Mexico, 27-30 June. http://dx.doi.org/10.2118/108711-MS.
Dodge, N.A. 1963. Friction Losses in Annular Flow. Proc., ASME WinterAnnual Meeting, Philadelphia, Pennsylvania, USA, 17-22 November, Paper63-WA-11, 1-7.
Drew, T.B., Koo, E.C., and McAdams, W.H. 1932. The Friction Factors forClean Round Pipes. Trans. AIChE 28: 56-72.
Durst, F., Haas, R., and Interthal, W. 1982. Laminar and turbulent flows ofdilute polymer solutions: A physical model. Rheol. Acta 21(4-5): 572-577. http://dx.doi.org/10.1007/BF01534350.
Erdal, F.M., Shirazi, S.A., Shoham, O., and Kouba, G.E. 1997. CFD Simulationof Single-Phase and Two-Phase Flow in Gas-Liquid Cylindrical CycloneSeparators. SPE J. 2 (4): 436-446. SPE-36645-PA. http://dx.doi.org/10.2118/36645-PA.
Farber, S. 2008. Pressure Loss Modeling of Non-Symmetric Gas TurbineExhaust Ducts using CFD. MASc thesis, Concordia University, Montreal,Quebec, Canada (Spring 2008).
Fredrickson, A.G. and Bird, R.B. 1958. Non-Newtonian Flow in Annuli. Ind.Eng. Chem. 50 (3): 347-352. http://dx.doi.org/10.1021/ie50579a035.
Haciislamoglu, M. 1989. Non-Newtonian Fluid Fow in Eccentric Annuli andits Application to Petroleum Engineering Problems. PhD dissertation,Louisiana State University, Baton Rouge, Louisiana.
Haciislamoglu, M. 1994. Practical Pressure Loss Predictions in RealisticAnnular Geometries. Paper SPE 28304 presented at the SPE Annual TechnicalConference and Exhibition, New Orleans, 25-28 September. http://dx.doi.org/10.2118/28304-MS.
Haciislamoglu, M. and Langlinais, J. 1990. Non-Newtonian flow in eccentricannuli. J. Energy Resour. Technol. 112 (3): 163-169.
Jonsson, V.K. and Sparrow, E.M. 1966. Experiments on turbulent-flowphenomena in eccentric annular ducts. J. Fluid Mech. 25(01): 65-86. http://dx.doi.org/10.1017/S0022112066000053.
Kostic, M. and Hartnett, J.P. 1984. Predicting turbulent friction factors ofnon-newtonian fluids in noncircular ducts. Int. Commun. Heat MassTransfer 11 (4): 345-352. http://dx.doi.org/10.1016/0735-1933(84)90062-9.
Kozicki, W., Chou, C.H., and Tiu, C. 1966. Non-Newtonian flow in ducts ofarbitrary cross-sectional shape. Chem. Eng. Sci. 21 (8): 665-679.http://dx.doi.org/10.1016/0009-2509(66)80016-7.
Lumley, J.L. 1977. Drag reduction in two phase and polymer flows. ThePhysics of Fluids 20 (10): S64-S71. http://dx.doi.org/10.1063/1.861760.
Mitsuishi, N. and Aoyagi, Y. 1974. Non-Newtonian Fluid Flow in an EccentricAnnulus. J. Chem. Eng. Jpn. 6 (5): 402-408. http://dx.doi.org/10.1252/jcej.6.402.
Moran, L.K. and Savery, M.R. 2007. Fluid Movement Measurements ThroughEccentric Annuli: Unique Results Uncovered. Paper SPE 109563 presented at theSPE Annual Technical Conference and Exhibition, Anaheim, California, USA, 11-14November. http://dx.doi.org/10.2118/109563-MS.
Nouri, J.M. and Whitelaw, J.H. 1994. Flow of Newtonian and Non-NewtonianFluids in a Concentric Annulus With Rotation of the Inner Cylinder. J.Fluids Eng. 116 (4): 821-827. http://dx.doi.org/10.1115/1.2911856.
Ogugbue, C.C. 2009. Non-Newtonian power-law fluid flow in eccentricannuli: CFD simulation and experimental study. PhD dissertation, Universityof Oklahoma, Norman, Oklahoma.
Ogugbue, C.C. and Shah, S.N. 2009. Friction Pressure Correlations forOilfield Polymeric Solutions in Eccentric Annulus. Paper 80044 presented at the28th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2009), Honolulu, Hawaii, USA, 31 May-5 June.
Pereira, F.A.R., Barrozo, M.A.S., and Ataíde, C.H. 2007. CFD predictions ofdrilling fluid velocity and pressure profiles in laminar helical flow. Braz.J. Chem. Eng. 24 (4): 587-595. http://dx.doi.org/10.1590/S0104-66322007000400011.
Reed, T.D. and Pilehvari, A.A. 1993. A New Model for Laminar, Transitionaland Turbulent Flow of Drilling Muds. Paper SPE 25456 presented at the SPEProduction Operations Symposium, Oklahoma City, Oklahoma, USA, 21-23 March. http://dx.doi.org/10.2118/25456-MS.
Roache, P.J. 1998. Fundamentals of Computational Fluid Dynamics.Albuquerque, New Mexico: Hermosa Publishers.
Singhal, N., Shah, S.N., and Jain, S. 2005. Friction Pressure Correlationsfor Newtonian and Non-Newtonian Fluids in Concentric Annuli. Paper SPE 94280presented at the SPE Production Operations Symposium, Oklahoma City, Oklahoma,USA, 17-19 April. http://dx.doi.org/10.2118/94280-MS.
Subramanian, R. and Azar, J.J. 2000. Experimental Study on Friction PressureDrop for NonNewtonian Drilling Fluids in Pipe and Annular Flow. Paper SPE 64647presented at the International Oil and Gas Conference and Exhibition in China,Beijing, 7-10 November. http://dx.doi.org/10.2118/64647-MS.
Tam, K.C. and Tiu, C. 1988. A general correlation for purely viscousnon-newtonian fluids flowing in ducts of arbitrary cross-section. TheCanadian Journal of Chemical Engineering 66 (4): 542-549. http://dx.doi.org/10.1002/cjce.5450660403.
Tu, J., Yeoh, G.H., and Liu, C. 2008. Computational Fluid Dynamics, APractical Approach. Oxford, UK: Butterworth-Heinemann.
Whittaker, A. ed. 1985. Theory and Application of Drilling FluidHydraulics. Boston, Massachusetts: EXLOG series of petroleum geology andengineering handbooks, International Human Resources DevelopmentCorporation.
Winkler, H.W. 1968. Single and Two-Phase Vertical Flow Through 0.996 x0.625-Inch Fully Eccentric Plain Annular Configuration. PhD dissertation,The University of Texas at Austin, Austin, Texas.