各向异性液饱和多孔材料慢波波阵面上的能量聚焦

Bifurcation on the Wave Fronts of Slow Waves in Anisotropic Fluid-Saturated Porous Media

基于Biot理论以及广义特征分析方法,研究了各向异性液饱和多孔材料中慢波的波阵面在传播过程中的突变.此现象是慢波传播的新特性.参考微分曲面的性质,给出了慢波波阵面上能量突变与慢曲面零高斯曲率间的对应关系,研究了能量聚焦模式在材料参数空间中的演化过程.此研究对于进一步澄清孔隙流体对含液多孔材料失效机制的影响具有重要的意义.

Based on Biot＇ s theory and the theory of generalized characteristics, the bifurcation on the slow-wave fronts in anisotopric fluid-saturated porous materials is studied, This is a new propagation characteristic for slow waves. According to the differential geometry, the correspondence between the focusing on the wave fronts and contours of zero Gaussian curvature on the slowness surfaces is explored and the development of the focusing patterns in material parameter space is revealed. This is helpful in further understanding the roles of the pore fluid in the damage of the fluid-saturated porous media.