Abstract：To the marked rheological and deteriorated characters appearing in process of the wall rock excavation and operation of the Jinping Hydropower Station long，large and deep-buried tunnel with depth of 2 525 m，length of 19 km，width of 13 m，the experimental investigation on the shear rheological character of marble with hard structural surface is done by using the CSS–283 two-way universal testing machine；the relationship among stress level time and viscoelastic deformation disciplines of rock is analyzed. Based on the profoundly research to the test data and the constitutive equations of stationary rheological model，the non-stationary parameters are achieved，and the non-stationary rheological model and a one-dimensional creep equation is established. By the comparison with the theoritical results of the stationary and non-stationary rheological models and the test results，the results indicate that the non-stationary viscoelastic Maxwell rheological model，considering time-dependent behaviors of the parameters，is the more exactly reflect the rock viscoelastic deforming performance than the stationary viscoelastic rheological models. The research result is a preliminary exploration on the research of the rock non-stationary rheological model；and it offers reference value to the research of the long，large and deep- buried tunnel of the Jinping Hydropower Station.
