Evaluating the Influence of Thermal Dispersion on the Reservoir Temperature During Heating of a Production Well

A mathematical model and a semi-analytical solution to the problem of heating of a production well are proposed, taking into account the effect of thermal dispersion and heat losses through the top and bottom of the reservoir. Using the method of sequential change of stationary states, an approximate solution to the problem without heat losses through the top and bottom of the reservoir is obtained. Nonlinear equations are proposed to assess the well productivity during heating of the bottom-hole zone.