It is well known that artificial multi-circle-tube freezing method could provide better experiences on shaft excavation in deep stratum. For further researching on evolution of the thermal field

the analogy model simulation was carried on

and the temperature field characteristics in frozen wall without freezing tube deviation were analyzed as well as it in random deviation of freezing tube. Comparing the results

it was concluded that the radius of the circular distribution of freezing tube poses slight effects on the annular expanding velocity of the frozen wall

and freezing tube deviation has minor influences on the temperature distribution of the shaft wall and the effective thickness of the frozen wall as well. It has important impacts on the time of frozen wall circle-crossing in different positions and the average temperature distribution in radial direction. In addition

it could result more enclosed confined water storage within the inner of the frozen wall

thereby increasing the heave force inside the frozen wall with negative effects on the stability of the frozen wall. As a result

the freezing tube deviation should be controlled strictly as drilling freezing holes.