Analysis of ground vibration induced by trains on saturated layered foundation

Based on Biot's wave propagation equations and boundary conditions, the Galerkin method is used to derive the u-p format finite element equation in the frequency domain by Fourier transform. The track and the attached sleepers are simplified as Euler beams resting on saturated half-space, the wave-number transform in the load moving direction is applied to reduce the three-dimensional (3D) dynamic problem to a two-dimensional (2D) problem. The dynamic problem is solved in a section perpendicular to track direction, and the 3D responses of the track and the ground are obtained from the inverse wave-number expansion. Combined a moving track-ground interaction model, a parametric study is given to evaluate the ground vibration induced by train moving loads on the saturated layered ground. The effect of the soil parameters (such as permeability coefficient, porosity and shear wave velocity) on the attenuation of ground vibration are investigated and discussed in detail. The results show that the saturated soil's permeability coefficient, porosity and shear wave velocity have great influence on the ground vibration.