The time-dependent behavior of the left bank abutment slope at Jinping I hydropower station has a major influence on the normal operation and long-term safety of the hydropower station.To solve this problem,a geomechanical model containing various faults and weak structural planes is established,and numerical simulation is conducted under normal water load condition using FLAC~(3D),incorporating creep model proposed based on thermodynamics with internal state variables theory.The creep deformations of the left bank abutment slope are obtained,and the changes of principal stresses and deformations of the dam body are analyzed.The long-term stability of the left bank abutment slope is evaluated according to the integral curves of energy dissipation rate in domain and its derivative with respect to time,and the non-equilibrium evolution rules and the characteristic time can also be determined using these curves.Numerical results show that the left bank abutment slope tends to be stable in a global sense,and the stress concentration is released.It is also indicated that more attention should be paid to some weak regions within the slope in the long-term deformation process. The time-dependent behavior of the left bank abutment slope at Jinping I hydropower station has a major influence on the normal operation and long-term safety of the hydropower station. To solve this problem, a geomechanical model containing various faults and weak structural planes is established, and numerical simulation is conducted under normal water load condition using FLAC ~ (3D), incorporating creep model proposed based on thermodynamics with internal state variables theory. creep deformations of the left bank abutment slope are obtained, and the changes and deformations of the dam body are analyzed the long-term stability of the left bank abutment slope is evaluated according to the integral curves of energy dissipation rate in domain and its derivative with respect to time, and the non-equilibrium evolution rules and the characteristic time can also be determined using these curves. Numerical results show that the left bank abutment slope tends to be stable in a global sense, and the stress concentration is released. It is also indicated that more attention should be paid to some weak regions within the slope in the long-term deformation process.