Based on the rheology experiment on tufflava on tunnel of Lianyan expressway of Shenzhen and the analysis of test results as well as the model identification,a rheology model was proposed.Based on the measured convergence displacement and vault settlement,physical parameters such as elastic modules and creep coefficients were obtained by viscoelasticity incremental back analysis with adaptive genetic algorithm,which were used to predict deformation of surrounding rock.Research results show that mechanical property of surrounding rock can be simulated reasonably with viscoelasticity increment at back analysis with staged construction to predict deformation,which is very important to tunnel construction.