Study on Static Settling of Water-in-Oil Emulsion on the Basis of Statistical Analysis
- Haoran Zhang (China University of Petroleum, Beijing) | Yongtu Liang (China University of Petroleum, Beijing) | Xiaohan Yan (China University of Petroleum, Beijing) | Limin Fang (China University of Petroleum, Beijing) | Ning Wang (China University of Petroleum, Beijing)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- June 2018
- Document Type
- Journal Paper
- 985 - 997
- 2018.Society of Petroleum Engineers
- Brownian motion, statistical analysis, Langevin equation, micro distribution, static settling
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- 164 since 2007
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The settling process of water droplets is significant in the processing technology of crude water-in-oil (W/O) emulsion. The process is complex because it is affected by various microforces on water droplets, which leads to difficulty in studying this issue comprehensively. A large amount of related work has been conducted, but with sparse emphasis being placed on the influence of Brownian motion on the settling process and the heterogeneous system of emulsion. This paper presents a method to study the effect of static settling of the heterogeneous W/O emulsion. A model for calculating water-droplet displacement is fundamentally established by constructing a momentum equation depending on the classical Langevin equation and Stokes formula. It considers dual influences of Stokes gravity settling and Brownian motion as well as microdistribution and interaction of water droplets. Statistical analysis is used to solve the problem of randomness. Combined with the water-cut model and the viscosity-prediction model, and according to the properties of oil phase and the heterogeneous size distribution of water droplets, the migration process of each water droplet can be calculated, and the variation of water cut and viscosity of each layer of the W/O emulsion system as well as the dehydration amount at the bottom can be predicted. In addition, an experiment was carried out to verify the accuracy and practicality of the method. The corresponding results displayed the dehydration amount at five different environment temperatures, and coincided well with the simulation results.
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Ahmadi, G., Firoozabadi, B., and Tamayol, A. 2008. Determination of Settling Tanks Performance Using an Eulerian-Lagrangian Method. Journal of Applied Fluid Mechanics 1 (1): 43–54.
Aoki, K. 2011. Size-Distribution of Droplets in Emulsions by Statistical Mechanics Calculation. Journal of Colloid and Interface Science 360 (1): 256–261. https://doi.org/10.1016/j.jcis.2011.04.054.
Baffles, P. J. and Kuipa, P. K. 2001. The Effect of Air Sparging on Electrical Resolution of Water in Oil Emulsions. Chemical Engineering Science 56 (21–22): 6279–6284. https://doi.org/10.1016/S0009-2509(01)00277-9.
Bararnia, H., Seyyedi, S. M., Ganji, D. D. et al. 2013. Numerical Investigation of the Coalescence and Breakup of Falling Multi-Droplets. Colloids and Surfaces. A: Physicochem. Eng. Aspects 424: 40–51. https://doi.org/10.1016/j.colsurfa.2013.02.024.
Berman, Y. and Tamir, A. 2003. Kinetics of Droplets’ Sedimentation in a Continuous Gravity Settler. Chemical Engineering Science 58 (10): 2089–2102. https://doi.org/10.1016/S0009-2509(03)00053-8.
Bonn, D., Lekkerkerker, H. N. W., Guo, H. et al. 2005. Hydrodynamics of Droplet Coalescence. Physical Review Letters 95 (16): 164503. https://doi.org/10.1103/PhysRevLett.95.164503.
Boyson, T. K. and Pashley, R. M. 2007. A Study of Oil Droplet Coalescence. Journal of Colloid and Interface Science 316 (1): 59–65. https://doi.org/10.1016/j.jcis.2007.08.039.
Brennan, D. 2001. The Numerical Simulation of Two-Phase Flows in Settling Tanks. PhD dissertation, Imperial College of Science, Technology, and Medicine, London.
Burluka, A. A. and Borghi, R. 2001. Development of an Eulerian Model for the “Atomization” of a Liquid Jet. Atomization and Sprays 11 (6). https://doi.org/10.1615/AtomizSpr.v11.i6.20.
Deng Zhian, Yuan Min, and Xu Jianning, 1999. The Settling Velocity Model Analysis of the Drops in the Gravity Type Oil-Gas-Water Separation Field. Acta Petrolei Sinica 20 (1): 82–87.
Dong, W. T. 2013. Oil-Water Sedimentation Tank Separation Characteristics and Structural Optimization. Northeast Petroleum University.
Frising, T., Noïk, C., and Dalmazzone, C. 2006. The Liquid/Liquid Sedimentation Process: From Droplet Coalescence to Technologically Enhanced Water/Oil Emulsion Gravity Separators: A Review. Journal of Dispersion Science and Technology 27 (7): 1035–1057. https://doi.org/10.1080/01932690600767098.
Geng, X., Boufadel, M. C., Ozgokmen, T. et al. 2016. Oil Droplets Transport Due To Irregular Waves: Development of Large-Scale Spreading Coefficients. Marine Pollution Bull. 104 (1–2): 279–289. https://doi.org/10.1016/j.marpolbul.2016.01.007.
Gromer, A. and Gunning, A. P. 2011. Atomic Force Spectroscopy of Interactions Between Oil Droplets in Emulsions. J. Microsc. Anal. 1: 9–12.
Guo, W., Wu, G., Jiang, M. et al. 2016. A Modified Probabilistic Oil Spill Model and Its Application to the Dalian New Port Accident. Ocean Engineering 121: 291–300. https://doi.org/10.1016/j.oceaneng.2016.05.054.
Johansen, O. 1985. Particle in Fluid Model for Simulation of Oil Drift and Spread, Part I: Basic Concepts. Note No. 02.0706.40/2/85, Oceanographic Center, Sintef Group, Norway.
Jurado, E., Bravo, V., Camacho, F. et al. 2007. Estimation of the Distribution of Droplet Size, Interfacial Area and Volume in Emulsions. Colloids and Surfaces A: Physicochem. Eng. Aspects 295: 91–98.
Kang, W., Guo, L., Fan, H. et al. 2012. Flocculation, Coalescence and Migration of Dispersed Phase Droplets and Oil-Water Separation in Heavy Oil Emulsion. Journal of Petroleum Science and Engineering 81: 177–181. https://doi.org/10.1016/j.petrol.2011.12.011.
Kollár, L. E., Farzaneh, M., and Karev, A. R. 2005. The Role of Droplet Collision, Evaporation and Gravitational Settling in the Modeling of Two-Phase Flows Under Icing Conditions. In Proc., the 11th International Workshop on Atmospheric Icing of Structures, Montreal, QC, Canada. Paper IW38.
Kollár, L. E. and Farzaneh, M. 2007. Modeling the Evolution of Droplet Size Distribution in Two-Phase Flows. International Journal of Multiphase Flow 33 (11): 1255–1270. https://doi.org/10.1016/j.ijmultiphase flow.2007.04.002.
Kraume, M., Gäbler, A., and Schulze, K. 2004. Influence of Physical Properties on Drop Size Distribution of Stirred Liquid-Liquid Dispersion. Chemical Engineering Technology 27 (3): 330–334. https://doi.org/10.1002/ceat.200402006.
Krebs, T., Schroën, C. G. P. H., and Boom, R. M. 2012. Separation Kinetics of an Oil-in-Water Emulsion Under Enhanced Gravity. Chemical Engineering Science 71: 118–125. https://doi.org/10.1016/j.ces.2011.10.057.
Langevin, D. 2000. Influence of Interfacial Rheology on Foam and Emulsion Properties. Adv. Colloid Interface Sci. 88 (1–2): 209–222. https://doi.org/10.1016/S0001-8686(00)00045-2.
Lentfer, C. J., Cotter, M. M., and Boyd, W. E. 2003. Particle Settling Times for Gravity Sedimentation and Centrifugation: A Practical Guide for Palynologists. Journal of Archaeological Science 30 (2): 149–168. https://doi.org/10.1006/jasc.2001.0786.
Lindsay, A. and O’Reilly, E. P. 2007. Theory of Conduction Band Dispersion in Dilute BxGa1-xas Alloys. Physical Review B 76 (7). https://doi.org/10.1103/PhysRevB.76.07210.
Liu, W., Zhang, S., and Zhang, X. 2010. Notice of Retraction Modification of Oil Particle Model. Presented at the International Conference on Environmental Science and Information Application Technology. IEEE, 17–18 July, 302–305. https://doi.org/10.1109/ESIAT.2010.5568366.
Luo, X., Wang, L., He, L. et al. 2015. Coalescence Characteristics of Water Droplets in W/O Emulsion Under Ultrasonic Irradiation. Acta Petrolei Sinica (Petroleum Proc’essinu Section) 31 (3): 804–810.
Malashevich, A. and Souza, I. 2010. Band Theory of Spatial Dispersion in Magnetoelectrics. Phys. Rev. B 82 (24): 1755–1760. https://doi.org/10.1103/PhysRevB.82.245118.
Marco, A. F., Roberto, C. O., Jorge, N. C. et al. 2005. Viscosity of Water-in-Oil Emulsions: Variation With Temperature and Water Volume Fraction. Pet. Sci. Eng. 48 (3–4): 169–184. https://doi.org/10.1016/j.petrol.2005.06.014.
Marek, J. and Olsen Jr., W. A. 1986. Turbulent Dispersion of the Icing Cloud From Spray Nozzles Used in Icing Tunnels. In Proc., the 3rd International Workshop on Atmospheric Icing of Structures, Vancouver, BC, Canada. pp. 103–110.
Nie, D. 2011. Research on the Particles Sedimentation and Brownian Motion. Zhe Jiang: Zhe Jiang University.
Nikolopoulos, N., Nikas, K. S., and Bergeles. G. 2009. A Numerical Investigation of Central Binary Collision of Droplets. Computers & Fluids 38: 1191–1202.
Post, S. L. and Abraham, J. 2002. Modeling the Outcome of Drop–Drop Collisions in Diesel Sprays. Int. J. Multiphase Flow 28 (6): 997–1019. https://doi.org/10.1016/S0301-9322(02)00007-1.
Sing, A. J. F., Graciaa, A., Lachaise, J. et al. 1999. Interactions and Coalescence of Nanodroplets in Translucent O/W Emulsions. Colloids & Surfaces A Physicochemical & Engineering Aspects 152 (1–2): 31–39. https://doi.org/10.1016/S0927-7757(98)00622-0.
Sis, H., Kelbaliyev, G., and Chandler, S. 2005. Kinetics of Drop Breakage in Stirred Vessels Under Turbulent Conditions. J. Disper. Sci. Technol. 26: 565–573. https://doi.org/10.1081/DIS-200057638.
Sommerfeld, M. and Ho, C. A. 2003. Numerical Calculation of Particle Transport in Turbulent Wall Bounded Flows. Powder Technol. 131 (1): 1–6. https://doi.org/10.1016/S0032-5910(02)00293-0.
Sugiura, S., Nakajima, M., Ushijima, H. et al. 2001. Preparation Characteristics of Monodispersed Water-in-Oil Emulsions Using Microchannel Emulsification. J. Chem. Eng. Jpn. 34: 757–765. https://doi.org/10.1252/jcej.34.757.
Tabor, R. F., Grieser, F., Dagastine, R. R. et al. 2012. Measurement and Analysis of Forces in Bubble and Droplet Systems Using AFM. Colloid Interface Science 371 (1): 1–14. https://doi.org/10.1016/j.jcis.2011.12.047.
Wang, W. and Gong, J. 2008. Improved Phase Inversion Model During Oil-Water Two Phase Fluid Flow in Pipeline. Acta Petrolei Sinica 29 (1): 139–142.
Wang, W., Wang P., Li, K. et al. 2013. Prediction of Apparent Viscosity of Non-Newtonian Water-in-Crude Oil Emulsions. Petroleum Exploration and Development 40 (1): 130–133. https://doi.org/10.1016/S1876-3804(13)60015-4.
Wang, W., Li, K., Gong, J. et al. 2015. Recent Progress of Drop Deformation and Force Behavior in Disperse Systems. Chinese Science Bulletin (Chinese Version) 60 (24): 2272. https://doi.org/10.1360/N972014-01156.