Abstract:The soils have anisotropic properties in the deposition process, so regarding the soil as anisotropy medium is more reasonable. Considering the interaction of the soil and lining, and based on the theory of saturated porous medium and elastic, the harmonic coupled vibrations of the transversely isotropic soil and lining with a partially sealed circular tunnel are investigated subjected to the harmonic load in the frequency domain. The analytical expressions of the displacement, stress and pore water pressure of the transversely isotropic soil and lining are obtained by the stress continuous in the inner boundary of the lining and stress and displacement coordination at the interface of the soil and lining. The boundary conditions for partial permeable of the tunnel are established by the fluid velocity equality at the lining and soil. Then, the specific expressions of undetermined coefficient are given. The influence of material and geometric parameter of the soil and lining are studied by the numerical example, it is shown that the elastic modulus in the transversely isotropic plane has a great influence on the system dynamic responses, while the influence of elastic modulus vertical the transversely isotropic is smaller. In addition, the relative permeable coefficient and the lining thickness have big impacts on the responses amplitude, while the influence of poisson’s ratio of lining is smaller.