多孔材料中声波的传播与演化

采用两相多孔介质的拉格朗日模型来描述一种理论流体充填的多孔弹性固体材料，其中孔隙度的变化满足一个附加的平衡方程。

Propagation and Evolution of Sound Waves in Porous Materials

In this paper a Lagrangian model for two phase porous media is used to describe a poroelastic solid filled with an ideal fluid, where the porosity change is assumed to meet an additional balance equation. The governing field equations are then adopted to study sound waves in poroelastic materials. It is demonstrated that there exist two longitudinal waves and one transverse wave. Evolution of their amplitude is presented in the case of homogeneous weak discontinuity. The results indicate that the amplitudes may either decay to vanish or grow to singularity in finite time, which depends on geometry of initial shape of wave fronts and diffusion effect between two phases.