饱和黏弹性多孔介质中的平面波及能量耗散

研究了流体饱和不可压黏弹性多孔介质中的非均匀平面波及其能量流和能量耗散规律. 在流相和固相物质微观不可压、固相骨架宏观服从积分型本构关系和小变形的假定下，利用Helmholtz分解，得到了饱和黏弹性多孔介质中非均匀平面波的一般解以及纵波、横波相速度和衰减率等的解析表达式，分析了平面波传播矢量和衰减矢量之间的关系. 数值结果表明孔隙流体与固相骨架间的相互作用以及固相骨架的黏性对波的相速度、衰减率等有着显著的影响. 同时，得到了饱和黏弹性多孔介质的能量方程，给出了能量流矢量和能量耗散率. 对非均匀平面纵波和横波，推导了平均能量流矢量和平均能量耗散率的解析表达式.

Inhomogeneous plane waves and their energy dissipations in a liquid-saturated incompressible viscoelastic porous medium

The inhomogeneous plane waves, their mean energy flux vectors and mean energy dissipation rates in a liquid-saturated incompressible viscoelastic porous medium are investigated intensively under the assumption of the infinitesimal deformation of the solid skeleton. The general solutions for the plane longitudinal and transverse waves are obtained with the Helmholtz's resolution. The dependences of the wave vectors, phase velocities and attenuation coefficients on the material parameters of the solid and liquid phases are expressed explicitly, and the relation between the propagation vector and attenuation one are discussed. Numerical results show that the influences of the interaction between the solid skeleton and pore fluid as well as the viscosity of the solid on the wave velocities, attenuation coefficients, etc. are remarkable. An energy equation of mechanical power is derived, and the energy flux vector and energy dissipation rate are obtained in the general form. The explicit expressions of the mean energy flux vectors and the mean energy dissipation rates are presented for the inhomogeiieous plane waves.