Analytical models of induction heating of casing in a producing well

Abstract

The article is devoted to the study of heat exchange processes in a well during induction heating of metal casing section. Heating of the column leads to an increase in the temperature of the fluid flow in the column. Due to short-term exposure, heat marks appear in the flow. Observation of their evolution forms the basis of active thermometry, a new method in borehole geophysics. Analytical solutions have been obtained for calculating the temperature changes of the upstream and casing during induction heating. Analytical solutions are compared with numerical simulation in Ansys Fluent*. It is shown that the discrepancy between the results of calculations based on analytical and numerical models decreases with an increase in the Reynolds number and the transition to a turbulent flow regime, with active mixing of the flow in the well in it is cross section. The developed models will be used in the planning of geophysical studies in wells by the method of active thermometry. Keywords: active thermometry; borehole; induction heating; column temperature; Nusselt number; Laplace transformations.