Frequency response of a cylindrical cavity in poro-viscoelastic saturated medium

This paper discusses the frequency response of a poroviscoelasticsaturated medium to axially symmetric harmonious surface traction and fluidpressure over the boundary of a cavity in the form of a circular liningcavity of infinite length. A constitutive model presented by Carcione isintroduced to describe the creep and relaxation behavior of medium. Thecavity is taken as partially sealed with partial permeable boundaryconsidering the relative permeability of the liner and the medium. Theanalytical solutions of stresses, displacement and pore pressure amplitudeare derived in frequency domain by introducing two scalar potentialfunctions. A parametric study is made based on the solutions to illustratethe influence of the minimum quality factor concerning the creep andrelaxation behavior of porous medium, the permeability parameter concerningthe partial permeable behavior of boundary, and relative rigidity of linerand medium on the frequency response of the cavity. It is indicated thatthere are strong correlations among these parameters and the attenuation ofradial displacement, stress, and pore pressure amplitude.