Development of an Algorithm of Dynamic Gridding for Multiphase Flow Calculation in Wells
- Chao C. Dong (University of Calgary) | Mehdi Bahonar (University of Calgary) | Zhangxing John Chen (University of Calgary) | Jalel Azaiez (University of Calgary)
- Document ID
- Society of Petroleum Engineers
- Journal of Canadian Petroleum Technology
- Publication Date
- February 2011
- Document Type
- Journal Paper
- 35 - 44
- 2011. Society of Petroleum Engineers
- 4.1.2 Separation and Treating, 5.5 Reservoir Simulation, 5.3.2 Multiphase Flow, 1.10 Drilling Equipment
- multisegment well, dynamic gridding, wellbore model, numerical method
- 0 in the last 30 days
- 598 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 5.00|
|SPE Non-Member Price:||USD 35.00|
Because more and more wells have been put in operation, an accurate modelling of wellbore flow plays a significant role in reservoir simulation. One requirement of a wellbore model is its ability to trace various flow boundaries in the tubing, such as those created by phase or flow regime changing. An algorithm of dynamic gridding is applied to the wellbore flow model coupled with Stanford?s general purpose research simulator (GPRS), which has the capability to simulate the isothermal black oil reservoir model to obtain detailed information that explains such important quantities as flow pattern and mixture velocity in any specific location of wellbore. A significant problem in this case is how to calculate fluid and velocity properties with a fine grid (segment) on the boundaries of different flow regimes in the wellbore. Local dynamical segment refinement in the well can accurately and effectively handle this problem. This wellbore model includes mass conservation equations for each component and a general pressure drop relationship. The multiphase wellbore flow is represented using a drift-flux model, which includes slip between three fluid phases. The model determines the pressure, mixture flow velocity, and phase holdups as functions of time and the axial position along the well or alleviation depth. In addition, this model is capable of generating automatically adaptive segment meshes. We apply the black oil model to the simulation of several cases of isothermal dynamical local mesh refinement, and compare the results with fixed coarse and fine meshes. The experiments show that using local segment refinement can yield accurate results with acceptable computational time.
|File Size||589 KB||Number of Pages||10|
Ansari, A.M., Sylvester, N.D., Sarica, C., Shoham, O., and Brill, J.P. 1994.A Comprehensive Mechanistic Modelfor Upward Two-Phase Flow in Wellbores. SPE Prod & Fac 9 (2): 143-152; Trans., AIME, 297. SPE-20630-PA.doi: 10.2118/20630-PA.
Bahonar, M., Azaiez, J., and Chen, Z. 2010a. In press. Overview ofWellbore Fluid and Heat Flow Modeling and its Applications in Oil Industry.Exploration & Production: Oil & Gas Review (accepted forpublication in vol. 8, no. 2, 2010).
Bahonar, M., Azaiez, J., and Chen, Z. 2010b. A Semi-Unsteady-State WellboreSteam/Water Flow Model for the Prediction of Sandface Conditions in SteamInjection Wells. J Can Pet Technol 49 (9): 13-21.SPE-140663-PA. doi: 10.2118/140663-PA.
Baxendell, P.B. and Thomas, R. 1961. The Calculation of Pressure Gradient inHigh Rate Flowing Wells. J Pet Technol 13 (10):1023-1028; Trans., AIME, 222. SPE-2-PA. doi: 10.2118/2-PA.
Beggs, H.D. and Brill, J.P. 1973. A Study of Two-Phase Flow in InclinedPipes. J Pet Technol 25 (5): 607-617; Trans.,AIME, 255. SPE-4007-PA. doi: 10.2118/4007-PA.
Ding, Y. and Lemonnier, P.A. 1993. Development of Dynamic Local GridRefinement in Reservoir Simulation. Paper SPE 25279 presented at the SPESymposium on Reservoir Simulation, New Orleans, 28 February-3 March. doi:10.2118/25279-MS.
Duns, H. and Ros., N.C.J. 1963. Vertical flow of gas and liquid mixtures inwells. Proc.,6th World Petroleum Congress, Frankfurt am Main, Germany,Section II, 451-465.
Hagedorn, A.R. and Brown, K.E. 1965. Experimental Study of PressureGradients Occurring During Continuous Two-Phase Flow in Small-Diameter VerticalConduits. J Pet Technol 17 (4): 475-484; Trans.,AIME, 234. SPE-940-PA. doi: 10.2118/940-PA.
Han, D.K., Han, D.L., Yan, C.Z., and Peng, L.T. 1987. A More Flexible Approach of DynamicLocal Grid Refinement for Reservoir Modeling. Paper SPE 16014 presented atSPE Symposium on Reservoir Simulation, San Antonio, Texas, USA, 1-4 February.doi: 10.2118/16014-MS.
Hasan, A.R., Kabir, C.S., Sayarpour, M. 2007. A Basic Approach to WellboreTwo-Phase Flow Modeling. Paper SPE 109868 presented at the SPE AnnualTechnical Conference and Exhibition, Anaheim, California, USA, 11-14 November.doi: 10.2118/109868-MS.
Livescu, S., Durlofsky, L.J., Aziz, K., and Ginestra. J.C. 2010. A Fully-Coupled ThermalMultiphase Wellbore Flow Model for Use in Reservoir Simulation. Journalof Petroleum Science and Engineering 71 (3-4): 138-146. doi:10.1016/j.petrol.2009.11.022.
Poettmann, F.H. and Carpenter, P.G. 1952. The Multiphase Flow of Gas, Oiland Water Through Vertical Flow Strings. API Drilling and ProductionPractice (1952): 257.
Ramey, H.J. 1962. Wellbore HeatTransmission. J Pet Technol 14 (4): 427-435;Trans., AIME, 225. SPE-96-PA. doi: 10.2118/96-PA.
Shi, H., Holmes, J.A., Diaz, L.R., Durlofsky, L.J., and Aziz, K. 2005a. Drif-Flux Parameters for Three-PhaseSteady-State Flow in Wellbores. SPE J. 10 (2): 130-137.SPE-89836-PA. doi: 10.2118/89836-PA.
Shi, H., Holmes, J.A., Durlofsky, L.J., Aziz, K., Diaz, L.R., Alkaya, B.,and Oddie, G. 2005b. Drift-FluxModeling of Two-Phase Flow in Wellbores. SPE J. 10 (1):24-33. SPE-84228-PA. doi: 10.2118/84228-PA.