The article considers a computer model and an algorithm for constructing a phono-target environment based on extrapolation of temperature fields of remote monitoring areas from databases of thermal tomograms of analog objects, underlying surfaces, geographical location and meteorological conditions. A mathematical formulation of the problem of modeling the temperature fields of analog objects and underlying surfaces of remote monitoring areas by their thermal tomograms is presented. The results of computer simulation of temperature images of the remote monitoring area based on the results of the field experiment are presented.