CRANFIELD UNIVERSITY JING SHI A STUDY ON HIGH-VISCOSITY OIL-WATER TWO-PHASE FLOW IN HORIZONTAL PIPES SCHOOL OF ENERGY, ENVIRONMENT AND AGRIFOOD Oil and Gas Engineering Centre PhD Academic Year: 2012 – 2015 Supervisor: Professor Hoi Yeung September 2015 CRANFIELD UNIVERSITY SCHOOL OF ENERGY, ENVIRONMENT AND AGRIFOOD Oil and Gas Engineering Centre PhD Academic Year 2012- 2015 JING SHI A STUDY ON HIGH-VISCOSITY OIL-WATER TWO-PHASE FLOW IN HORIZONTAL PIPES Supervisor: Professor Hoi Yeung September 2015 This thesis is submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy © Cranfield University 2015. All rights reserved. No part of this publication may be reproduced without the written permission of the copyright owner. ABTRACT A study on high-viscosity oil-water flow in horizontal pipes has been conducted applying experimental, mechanism analysis and empirical modelling, and CFD simulation approaches. A horizontal 1 inch flow loop was modified by adding a designed sampling section to achieve water holdup measurement. Experiments on high-viscosity oil-water flow were conducted. Apart from the data obtained in the present experiments, raw data from previous experiments conducted in the same research group was collated. From the experimental investigation, it is found that that the relationship between the water holdup of water-lubricated flow and input water volume fraction is closely related to the oil core concentricity and oil fouling on the pipe wall. The water holdup is higher than the input water volume fraction only when the oil core is about concentric. The pressure gradient of water-lubricated flow can be one to two orders of magnitude higher than that of single water flow. This increased frictional loss is closely related to oil fouling on the pipe wall. Mechanism analysis and empirical modelling of oil-water flow were conducted. The ratio of the gravitational force to viscous force was proposed to characterise liquid-liquid flows in horizontal pipes into gravitational force dominant, viscous force dominant and gravitational force and viscous force comparable flow featured with different basic flow regimes. For viscous force dominant flow, an empirical criterion on the formation of stable water-lubricated flow was proposed. Existing empirical and mechanistic models for the prediction of water holdup and/or pressure gradient were evaluated with the experimental data; the applicability of different models is demonstrated. Three-dimensional CFD modelling of oil-water flow was performed using the commercial CFD code Fluent. The phase configurations calculated from the CFD model show a fair agreement with those from experiments and mechanism analysis. The velocity distribution of core annular flow is characterised with nearly constant velocity across the oil core when the oil viscosity is significantly i higher than the water viscosity, indicating that the high-viscosity oil core flows inside the water as a solid body. The velocity profile becomes similar to that of single phase flow as the oil viscosity becomes close to the water viscosity. Key words: Oil-water; high-viscosity oil; water holdup; oil fouling; pressure gradient; CFD ii ACKNOWLEDGEMENTS It is pleasant to express my sincere gratitude to all those who have contributed to the completion of the presented work. I am sincerely grateful to the following: To Professor Hoi Yeung, my supervisor, for initiating the study and providing support and stimulating discussions throughout the duration of this work; without him, my study could not have been started and finished to a success. To Dr Liyun Lao, for his advice on the design of the sampling section, training on the operation of a three-phase rig and useful comments on my manuscript of the experimental part. To Stan Collins, our lab. manager, who offered valuable discussions and technical support on pressure measurement and data acquisition; to the lab technician Sheridan Cross who helped set up the experimental rig. To Dr Mustapha Gourma, who was always ready to discuss with me on the CFD simulation and gave me useful comments on the CFD part of the manuscript; to Dr Yabin Zhao, who offered kind guide at the initial stage of my CFD simulation study; to Andy Gittings, the university research computing manager, who provided great support on high performance computing. To Dr Hameed Al-Awadi, Dr Ezeddine Zorgani and Dr Solomon Alagbe, for providing raw experimental data to make the present large experimental data base; to my colleague Yahaya Baba who offered kind assist in my experiments; to Sasha Quills and Sam Skears for their administrative support. To Dr Shiwei Fan who has been there to offer numerous discussions. And to my family, my parents, brother, sister-in-law, and little niece for their love and support. iii TABLE OF CONTENTS ABTRACT............................................................................................................ i ACKNOWLEDGEMENTS................................................................................... iii TABLE OF CONTENTS ..................................................................................... v LIST OF FIGURES ........................................................................................... viii LIST OF TABLES .............................................................................................. xv LIST OF ABBREVIATIONS .............................................................................. xvi LIST OF SYMBOLS ....................................................................................... xviii 1 INTRODUCTION ............................................................................................. 1 1.1 Background ............................................................................................... 1 1.1.1 Overview ............................................................................................ 1 1.1.2 Previous studies on high-viscosity oil-water flow at Cranfield University .................................................................................................... 2 1.2 Objectives ................................................................................................. 3 1.3 Thesis outline ............................................................................................ 3 2 LITERATURE REVIEW ................................................................................... 5 2.1 Industrial background ................................................................................ 6 2.1.1 An overview on heavy oil production and transportation .................... 6 2.1.2 Industrial applications of water-lubricated heavy oil transport .......... 10 2.2 Experimental studies on high-viscosity oil-water flow ............................. 13 2.2.1 Basic flow notations in oil-water flow ................................................ 13 2.2.2 Previous experimental studies on high-viscosity oil-water pipeline flow ............................................................................................................ 16 2.2.3 Summary .......................................................................................... 28 2.3 Modelling of multiphase flow in computational fluid dynamics ................ 32 2.3.1 Fundamentals of computational fluid dynamics ................................ 32 2.3.2 Multiphase computational fluid dynamics ......................................... 34 2.3.3 Numerical solution of transport equations ........................................ 37 3 EXPERIMENTAL SETUP AND PROGRAMME ............................................ 41 3.1 Introduction ............................................................................................. 41 3.2 Literature review on phase holdup measurement ................................... 41 3.3 Experimental setup ................................................................................. 43 3.4 Experimental procedure and runs ........................................................... 50 3.4.1 Experimental procedure ................................................................... 50 3.4.2 Experimental runs ............................................................................ 52 3.5 Assurance of experimental system ......................................................... 54 3.5.1 Pressure signals ............................................................................... 54 3.5.2 Oil viscosity ...................................................................................... 56 3.5.3 Accuracy of the sampling measurement .......................................... 58 3.5.4 Repeatability of the experiments ...................................................... 60 v 3.6 Summary ................................................................................................ 61 4 EXPERIMENTAL RESULTS ......................................................................... 63 4.1 Introduction ............................................................................................. 63 4.2 Experimental data bank .......................................................................... 63 4.3 Flow patterns .......................................................................................... 65 4.3.1 Flow patterns observed in experiments ............................................ 65 4.3.2 Flow pattern maps ............................................................................ 73 4.4 Inversion occurrence ............................................................................... 86 4.5 Water holdup of water-lubricated flow ..................................................... 91 4.6 Pressure gradient of water-lubricated flow .............................................. 96 4.7 Summary .............................................................................................. 104 5 MECHANISM ANALYSIS AND EMPIRICAL MODELLING ......................... 107 5.1 Introduction ........................................................................................... 107 5.2 Flow patterns of liquid-liquid flow .......................................................... 107 5.2.1 Literature review on flow patterns of liquid-liquid flows in horizontal pipes ....................................................................................... 107 5.2.2 Gravitation to viscous force ratio to characterise liquid-liquid flow systems ................................................................................................... 115 5.3 Inversion occurrence ............................................................................. 129 5.4 Water holdup and pressure gradient of water-lubricated flow ............... 132 5.4.1 Review on models of water-lubricated flow .................................... 133 5.4.2 Model development for water-lubricated flow ................................. 140 5.4.3 Evaluation of models ...................................................................... 149 5.5 Summary .............................................................................................. 163 6 CFD SIMULATION SETUP AND PROGRAMME ........................................ 167 6.1 Introduction ........................................................................................... 167 6.2 Mathematical models ............................................................................ 168 6.2.1 VOF model ..................................................................................... 168 6.2.2 SST k-ω turbulence model ............................................................. 170 6.3 Physical models .................................................................................... 171 6.4 Simulation setup ................................................................................... 173 6.4.1 Boundary conditions ....................................................................... 173 6.4.2 Solution setup ................................................................................ 174 6.5 Simulation runs ..................................................................................... 175 6.6 Preliminary simulation results ............................................................... 180 6.6.1 Influence of mesh sizes .................................................................. 180 6.6.2 Influence of initialization methods .................................................. 181 6.6.3 Influence of volume fraction interpolation schemes at phase interface .................................................................................................. 185 6.6.4 Influence of turbulence schemes .................................................... 186 6.6.5 Influence of wall contact angles ..................................................... 189 vi
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