Energy focusing and the shapes of wave fronts in anisotropic fluid-saturated porous media

The purpose of this paper is to investigate the energy focusing pattern evolution in the parameter space while the wave fronts propagate in the anisotropic fluid-saturated porous media. Firstly, the bifurcation conditions for a general anisotropic fluid-saturated porous material are deduced. Then, by choosing the material parameters as control variables, the influence of the anisotropy of the solid skeleton and pore fluid parameters on the development characteristics of energy focusing patterns is discussed, and the three-dimensional configurations for the focusing structures are explored. The results indicate that the energy focusing also exists on the wave fronts of the slow waves, which is a particular propagation characteristic for the slow waves in anisotropic fluid-saturated porous media. The distinct trends for the slow wave energy focusing are revealed. This has significant meaning in further understanding the roles of the fluid phase in the dynamic response of the fluid-saturated porous media.