Features of calculating the temperature field in an annular porous layer under infinite heating

To date, easily recoverable oil reserves have already been extracted, so deposits with residual oil reserves or places with weak permeability are of great interest. It is known that oil becomes more viscous when the temperature decreases, which creates difficulties in its production. Therefore, to reduce the viscosity, it is necessary to heat the oil to the temperature at which it is possible to realize its production. The study proposes a mathematical model for calculating the temperature field in an annular porous layer under infinite heating in a downhole reactor for continuous heating of the bottom-hole zone of a formation containing high-viscosity oil and natural bitumen (HVO and NB).

PURPOSE. To construct a heating solution for an infinitely long annular layer in a downhole reactor. To obtain a temperature profile in the cross section of the annular layer and a picture of the temperature field.

METHODS. The equations of the mathematical model are based on the laws of conservation of energy and mass, their study and evaluation are carried out using analytical methods of the theory of differential equations, methods of similarity theory and dimensions, as well as numerical methods for solving boundary value problems. results. In the course of the study, the dependences of the distance at which the set air temperature in the reactor is reached at different values of mass air flow, linear heat flux density and the heat capacity of the mixture were obtained. conclusion. The conducted studies have allowed us to obtain a mathematical model for calculating the temperature field in an annular porous layer under infinite heating in an downhole reactor. The results obtained showed that with an increase in the mass flow rate and the heat capacity of the medium, the distance at which the set air temperature in the reactor is reached increases by 1.6 and 1.5 times, respectively, over the entire temperature range, and with an increase in the linear density of the heat flux, this distance decreases by 0.6 times.

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