This thesis focuses on the development of an analytical model for the generation and propagation parts of a global model of ground induced vibrations to be used in preliminary assessment studies for the case of at-grade railway infrastructures. The model is designed prioritising its speed, simplicity and usability ahead its accuracy modelling the real railway system. This model takes into account the subgrade as a viscoelastic and homogeneous half-space, the superstructure as a 2-layer supporting model and the vehicle as 1DOF system. With the aim of simplify the model, the superstructure/subgrade interaction is studied in terms of the wheel/rail contact dynamics, bounding in what cases this interaction can be neglected. The adaptation of this model when a far eld semi-analytical model is desired to be used as the propagation model is fully developed, by means of the dimensioning of the near eld and far eld regions.