Based on 3D viscoelastic dynamic equations for transversely isotropic fluid-saturated soil

the Fourier expansion approach and Laplace-Hankel transformation are used to solve the viscoelastic dynamic response of the transversely isotropic fluid-saturated soil. Through strictly theoretical deduction

the closed-form solutions are derived in terms of solid matrix displacements and fluid displacements relative to the soil matrix. According to initial condition and boundary condition

the boundary-value problems of transversely isotropic saturated viscoelastic half-space under the action of vertical and horizontal dynamic loads are solved. The solutions in time domain can be obtained by using Laplace-Hankel inverse transforms. The computer programs are developed for calculating the stress and diaplacement of transversely isotropic fluid-saturated soil. Selected numerical results are presented. The results show that it is necessary to take into account viscoelasticity of saturated soil.