A mathematical model of temperature distribution along the length of the oil production well.

The article focuses on developing improved mathematical models for heat transfer and temperature distribution (TD) along the length of oil production wells (OPW), specifically addressing limitations in existing models that only accurately describe TD along the casing string (CS) but not the tubing. It highlights the significance of the annulus between the CS and tubing, filled with fluid and gas layers with distinct thermal properties, and proposes new formulas that incorporate these effects to better estimate heat transfer from the upward fluid flow to the tubing wall and surrounding environment. The models account for factors such as fluid flow characteristics, thermal conductivity of rocks, and geometric temperature gradients, providing a more comprehensive approach to predicting temperature profiles in both the CS and tubing. These advancements aim to support the understanding and mitigation of operational issues like asphaltene-resin-paraffin deposits (ARPD) and gas emissions that affect well productivity.