A precise time-integration method for wave propagation of fluid-saturated porous media

On the basis of the precise time-integration method, a time-domain method for the wave propagation of the fluid-saturated porous media is proposed to calculate the dynamic response of the fluid-saturated porous media with the formulation of solid phase displacement u and pore pressure p. The solid phase displacement u is computed by precise time-integration method and fluid pressure p is computed by backward difference method. The proposed method is verified by a standard example. Moreover, the proposed method is compared with Newmark algorithm proposed by Zienkiewicz. The verifications indicate that the proposed method has high computational precision. In the meanwhile, the calculating course of the proposed method can be executed in an iterative manner, coupling equations do not need to be solved in each time step, so the proposed method has considerable efficiency. The proposed method has the basic characteristic of time-domain explicit calculating methods. Therefore, the method is capable of analyzing the dynamic response of the fluid-saturated porous media, reasonably.