Temperature field in a cylindrical porous layer during “endless” heating with heat outflow

Abstract

RELEVANCE. This article proposes a mathematical model for calculating the temperature field in the annular porous layer of an downhole reactor during continuous heating of a bottomhole zone containing high-viscosity oil (VVN) and natural bitumen (PB). The heating process is considered endless. purpose.OBJECT. To solve this problem, it is necessary to use the proposed mathematical model. To obtain a temperature profile in a porous layer under constant heating with heat outflow.METHODS. The equations of the mathematical model are based on the laws of conservation of energy and mass, analytical methods of the theory of differential equations, methods of the theory of similarity and dimensions, as well as numerical methods for solving boundary value problems are used for their study and evaluation.RESULTS. During the study, the dependences of the distance at which the set temperature in the reactor is reached were found to be directly proportional to the mass flow rate, the linear density of the heat flux and the heat capacity of the mixture.CONCLUSION. The mathematical model shows how the temperature in the annular porous layer inside the reactor changes with endless heating and heat outflow.

Keywords

• porous layer
• temperature field
• endless heating
• high viscosity oil
• downhole reactor