Frequency response of a cylindrical cavity in poro-viscoelastic saturated medium
黏弹性饱和多孔介质中圆柱孔洞的频域响应

This paper discusses the frequency response of a poroviscoelastic saturated medium to axially symmetric harmonious surface traction and fluid pressure over the boundary of a cavity in the form of a circular lining cavity of infinite length. A constitutive model presented by Carcione is introduced to describe the creep and relaxation behavior of medium. The cavity is taken as partially sealed with partial permeable boundary considering the relative permeability of the liner and the medium. The analytical solutions of stresses, displacement and pore pressure amplitude are derived in frequency domain by introducing two scalar potential functions. A parametric study is made based on the solutions to illustrate the influence of the minimum quality factor concerning the creep and relaxation behavior of porous medium, the permeability parameter concerning the partial permeable behavior of boundary, and relative rigidity of liner and medium on the frequency response of the cavity. It is indicated that there are strong correlations among these parameters and the attenuation of radial displacement, stress, and pore pressure amplitude.