Mathematical Modeling of the Temperature Field during the Filtration of Carbonated Liquid

This paper investigates the temperature fields in a well based on the asymptotic method, which arise during the filtration of carbonated liquid in a saturated porous medium, taking into account the imperfection of the gas phase and heat exchange with the surrounding rock formations. Considering the imperfection of the gas phase, the thermal effects of phase transition caused by degassing, and heat exchange with the surrounding rocks, a solution to the temperature problem of carbonated liquid filtration in a reservoir of finite capacity is proposed. It was studied that the temperature field in a porous formation during the filtration of gas-liquid mixtures is of great importance for the practical development of oil fields and the resolution of certain geological, geophysical, and technical issues. The results obtained in this study provide a theoretical basis for developing methods for measuring and interpreting well thermograms operating under degassing conditions.