The rock caverns located under groundwater level is subjected to the coupling action of stress field with seepage field; and the deformation of surrounding rock varies with time. Based on the fundamental theories of rock mass hydraulics and rheological mechanics

the rheological model on coupled stress field and seepage field is set up. The related finite element formulas are derived for rock mass; and the concretely executive process is given for the finite element analysis of coupled stress field and seepage field. The rheological model established may be applied to the long-term stability analysis for underground caverns and slope engineering under the condition of coupled stress field and seepage field.