Predicting Temperature and Pressure in High-Temperature–High-Pressure Gas Wells

Abstract In this article, we give a coupled system model of differential equations concerning pressure and temperature in high-temperature–high-pressure wells according to mass, momentum, and energy balances. We present an algorithm solution model, along with the fourth-order Runge-Kutta method. The basic data for the X Well (a high-temperature–high-pressure gas well, 6,115 m deep) in China were used for case history calculations and a sensitivity analysis was made for the model. In curve graphs, gas pressure and temperature along the depth of the well were plotted with different gradients, intuitively reflecting the gas flow law and characteristics of heat transfer in formation. The results can provide technical reliability in the processing of well test design in high-temperature–high-pressure gas wells and the dynamic analysis of production.