摘要

Great emphasis has been placed on non-Newtonian heavy oil. Most researches consider the heavy oil as a Bingham fluid. But the viscosity of heavy oil that changes with temperature and dynamic radius in the development process is not taken into account. In order to study the flow feature of non-Newtonian heavy oil, the dynamic radius and viscosity are presented first. And then a mathematical model for transient flow of non-Newtonian heavy oil with dynamic radius and variable viscosity under different bottom-hole producing pressure conditions is established. The non-Newtonian transient pressure distribution of heavy oil under different bottom-hole producing pressure conditions is obtained by difference method on time and space and programming with MATLAB. The results show that under the same pressure difference, the dynamic radius is closer to the well as the threshold pressure gradient increasing. The greater the threshold pressure gradient is, the greater the pressure drop near the well is. The research combines the dynamic radius and the changes of viscosity avoiding the shortcoming of the existing non-Newtonian heavy oil flow mathematical model.