流体饱和标准线性粘弹性多孔介质中的平面波

研究了流体饱和不可压标准线性粘弹性多孔介质中平面波的传播和反射问题．在固相骨架小变形的假定下，得到了粘弹性多孔介质中波动方程的一般解，讨论了弥散关系和波的衰减特性．结果表明：在流体饱和不可压粘弹性多孔介质中，仅存在一个耦合纵波和一个耦合横波，纵波和横波的波速、衰减率等取决于孔隙流体与固相骨架间的相互作用以及固相骨架本身的粘性．同时，研究了半空间自由边界上入射波(纵波、横波)的反射问题。得到了非均匀反射波的波速、反射系数、衰减率等的表达式及其相关的数值结果．

PLANE WAVES IN LIQUID-SATURATED VISCOELASTIC POROUS MEDIUM

The propagation and reflection of plane waves in a liquid-saturated incompressible standard linear viscoelastic porous medium are investigated. Under the assumption of infinitesimal deformation of the solid skeleton, the general solutions of the wave equations are obtained, and the dispersions and attenuations are discussed. We found that there exist only one coupled longitudinal wave and one coupled transverse wave in the porous medium. The wave velocities, attenuation coefficients, etc. is influenced by the interaction between two phases as well as viscosity of the solid itself. Furthermore, the reflections of the incident harmonic waves (including longitudinal and transverse waves) on the free boundary of a half-space porous medium are examined. The expressions and numerical results for velocities of inhomogeneous reflected waves, reflection coefficients, attenuation rates, etc., are presented.