不可压饱和粘弹性多孔介质中的Rayleigh波

基于多孔介质和粘弹性理论，研究了不可压液体饱和粘弹性多孔半空间中的Rayleigh 波.在流相和固相物质微观不可压、固相骨架服从宏观积分型本构关系和小变形的假定下， 利用Helmholtz分解，得到了Rayleigh波的弥散方程.数值考察了表面透水和不透水两种情 形下，饱和标准线性粘弹性多孔介质中材料参数对Rayleigh波相速度、衰减率等的影响.发 现固相骨架的粘性对Rayleigh波的相速度和衰减率的数值有显著影响，但对于不同的表面透 水情况，其影响规律是不同的.

Rayleigh Wave in an Incompressible Saturated Viscoelastic Porous Medium

Based on the theory of porous media and viscoelasticity,the behavior of Rayleigh waves in an incompressible liquid-saturated viscoelastic porous half-space is investigated.Under the assumptions of microscopic incompressibility of solid and fluid phases and the solid skeleton behaving as viscoelastic one and infinitesimal deformation,an analytical dispersion relation is obtained by using Helmholtz decomposition.Influences of the material parameters on the phase velocities and attenuation of Rayleigh waves are analyzed numerically for the saturated standard linear viscoelastic porous medium with both permeable and impermeable surfaces.It is shown that the influence of the viscosity of the solid skeleton is remarkable,and it depends on the conditions of the permeabilities of the surfaces.