In the paper, the Poynting-Thomson (P-T) modeland the Kelvia Hooke (K-H) model are, respectively, applied to the unsupported region and the supported region of the soft rock tunnel. By utilizing Laplace transform and inverse Laplace transform, the stress expressions in the supported region and the unsupported region are obtained, respectively. Expanding the expression of displacement in the supported region into a Maclaurin series, and utilizing the accumulative displacement around rock obtained through observation, a theoretical model is set up. The model and its solution for rheology problem of anchor-grouting soft rock tunnel in the paper have been proved to be effective in the practical engineering.
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