PROPAGATION OF PLANE WAVES IN TRANSVERSELY ISOTROPIC FLUID-SATURATED POROUS MEDIA
横观各向同性液体饱和多孔介质中平面波的传播

Based on the Biot's theory for fluid-saturated porous media, the propagation of plane waves in transversely isotropic porous materials is studied. The characteristic equations for wave propagation are derived and solved analytically. The results show that four waves, the first and second quasi-longitudinal waves(QP1 and QP2), the quasi-transverse wave(QSV) and the anti-plane transverse wave (SH), propagate with different speeds. The analytical expressions for wave speeds andattenuations are presented. The curves of dispersion and attenuation are illustrated, and the coupling relations among three quasi-body waves are discussed. Finally, we analyze the existence and properties of Rayleigh surface waves. The effects of anisotropy of the medium on the wave propagation are discussed in details.