Mathematical Model For Bubbly Water-Heavy Oil-Gas Flow in Vertical Pipes

摘要

In this work a unidimensional, time-dependent homogeneous mathematical model is presented. The model is able to predict pressure, temperature and velocity profiles of the flow known as bubbly-gas—bubbly-oil, which can be present when water-heavy oil and gas flow simultaneously in vertical pipes. The mathematical model consists of mass, momentum, and energy conservation equations and its numerical solution is based on the finite difference technique in the implicit scheme. The thermodynamic and transport properties of the fluids are estimated by correlations reported in the literature. The effects of different water-gas and water-oil shear stress correlations on the prediction were evaluated. As a result, some correlations are recommended to simulate the bubbly-gas—bubbly-oil flow. A new correlation for water-heavy oil-gas friction factor is suggested. A comparison of the model with existing experimental data shows a satisfactory agreement.