Abstract: Based on the analysis of the thermal conduction characteristics of the surrounding rock of roadways or tunnels, the temperature field of the surrounding rock of roadways or tunnels is simplified as the unsteady heat conduction problems of a one-and a half dimensional infinite hollow circular sheet of insulation on both sides; the mathematical model for the temperature field is established under cylindrical coordinate, and the solution conditions related are explored; using equation analysis method and dimensional method, the paper deduces that the conduction similarity criterions of the surrounding rock of roadways or tunnels are the Fo, the Bi, the R in the conduction process, and the Nu, the Re, the Pr in the period of heat convection between the surrounding rock and the aircurrent. According to the similarity criterion, the paper indetifies that there are similarities between the the thermal conductivity prototype and model of the surrounding rock of roadways or tunnels, and certifies the feasibility of modeling experiment method with an example of drivage roadway.

Key words: high temperature mine, mine heat hazard, unsteady thermal conduction, modeling experiment, similarity theory