From the above analytical solutions, it can be seen that the solution of each viscoelastic model can degenerate into the corresponding classic solution without considering the tunnel face effect when α = 0 or m →∞. Therefore, in this section the solutions presented in this study are compared with previously published relevant solutions for particular viscoelastic models, and their similarities and differences are investigated. For the convenience of comparison, the rock displacement uR(t) of an unlined tunnel and support pressure q(τ) of a lined tunnel are chosen as comparison items.