Based on the specialty of loading environment for the deep underground structure

a reasonable boundary condition setting method is developed to the coupled static and dynamic response analysis of deep structure. The system of forces on the boundaries of computational region is determined and used to match the inner initial earth stresses; and then the system of forces is transformed to that of dynamic forces in the form of step function. Finally

this system of dynamic forces and subsequent dynamic loading act together. Research results show that the reasonable results can be gotten through indispensable transform of boundary condition during a complete coupled static and dynamic analysis. In addition

the coupled static and dynamic response analysis can be done well with the artificial viscous boundary condition in software simply. The case studies indicate that the boundary condition setting method has many advantages such as good accuracy

efficiency and convenience.