To describe the creep mechanical behavior
of rocks, triaxial compression creep tests of sandstone under different
confining pressures are conducted herein. Results show that the steady creep
stage is a process of developing and expanding microcracks in rocks, and the
steady creep rate and confining pressure increase the power function. The long-term
strengths of sandstone under confining pressures of 5 MPa, 10 MPa, and 15 MPa
are 19.8 MPa, 22.3 MPa, and 24.7 MPa, respectively. The long-term strength
increases with the increase in confining pressure. Based on the nonlinear
characteristics of rock creep, the viscoelastic modulus
E(
p)
associated with confining pressure is
defined. E(
p,
t)
that can reflect the influence of rock creep by time and confining
pressure is obtained using the derivation transformation, which is applied to
the improved Burgers model to obtain a new one-dimensional creep constitutive
model. It can be extended to three-dimensional stress state to obtain a new
three-dimensional nonlinear mechanical model, identify creep test data, compare
and analyze the prediction results, and prove the feasibility and rationality
of the model. The research results shed light on the simulation of creep
behavior of rock under three-dimensional stress state.