黏弹性饱和多孔介质中圆柱孔洞的频域响应

研究了无限黏弹性饱和多孔介质中圆柱孔洞(有衬砌)表面受轴对称简谐荷载和流体压力 作用下的频域响应问题. 引入Carcione提出的本构模型来描述介质的流变和松弛性质. 考 虑衬砌和介质的相对渗透性，孔洞处于半封闭状态，边界半透水. 引入两个势函数，在频域 中得到了应力、位移和超孔隙水压力响应解答. 并进行了算例分析，讨论了反映介质黏弹 性性质的最小质量因子，反映孔洞边界半透水性质的渗透性参数及衬砌和介质的相对刚度对 问题的影响. 分析结果表明：以上参数对圆柱孔洞的频域响应有很大影响.

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

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.