Abstract: In order to study the long-term stability of an anhydrite mine，the whole process of mining is numerically simulated and analyzed by constructing a mining model and using Burgers creep constitutive model. The results show that as the duration of the goaf becomes longer，the horizontal displacement difference and vertical displacement of the goaf in each middle section become larger and larger，the increase range gradually decreases，and the deformation of the surrounding rock tends to be stable. The maximum principal stress value of gypsum mine within 100 years after simulated mining is 21.7 MPa，the maximum vertical displacement of surrounding rock is 35~40 mm，the maximum horizontal displacement in Y direction is 36 mm，and the maximum horizontal displacement in X direction is 26 mm，which are all within the allowable strength and deformation range. The long-term stability of the surrounding rock of the gypsum mine is good，which provides a reference case for the long-term stability analysis of similar gypsum mines.

Key words: anhydrite mine, creep model, long-term stability