波在飽水孔隙弹性介貭中的传播

一、引言弹性体中波的传播問題迄今已有較广泛的研究.对飽水孔隙弹性介貭中波的传播問題研究的尚少。但此种問題在地球物理、地震、土木工程和声学等研究中均有重要意义.

WAVE PROPAGATION IN A POROUS,SATURATED ELASTIC MEDIUM

For the case where both pore fluids and solid grains are incompressible, the system of equations of motion including the inertia terms is established. A more simplified form of the system of equations is then obtained by introducing the dilatational and rotational displacement potentials. Based on these equations the velocities of propagation of, and the damping constant for the harmonic plane waves are calculated, and it is proved that only one P wave and one S wave are set up here in contrast with two P waves and one S wave as predicted by Biot for a more general case. Finally, a one-dimensional problem for a semi-infinite medium under surface dynamic loading is solved.