This paper presents the detailed development of a multiphase model to predict the behavior of terrain-induced slugging, influenced by the viscous effects and hilly terrain.
Currently, high viscosity heavy crude oil represents most of the available fossil resources. This crude flows inside long and expensive pipelines, usually over hilly terrain, causing the formation of slug flow. A very common flow pattern produces critical effects on pipelines in terms of modelling, mechanical stress, induced oscillations, fatigue, production losses, and other negative effects for the system. An accurate characterization of this pattern may give critical data for the mechanical design of piping systems and provide valuable information for the downstream process equipment selection.
At present, most of the existing models to predict the behavior of slug flow neglect relevant parameters such as the effect of liquid viscosity and the effect of topographic terrain profile. The objective of this study is to present a mechanistic fluid model to determine the behavior of slug flow affected by the hilly terrain using viscous fluids. The model predicts the four stages of slug flow proposed by Schmidt et al. [1], and extends these stages to hilly terrain systems. The model is valid for a wide range of fluid viscosities and considers a range of pipe inclinations between 0° and 90°. Model validation with available literature and experimental data, shows a maximum deviation of 6%.