Inhomogeneous plane waves and their energy dissipations in a liquid-saturated incompressible viscoelastic porous medium
饱和黏弹性多孔介质中的平面波及能量耗散

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.