Abstract: The study considers deep vibration (longitudinal mechanical waves) having an effect on water-saturated soil consolidation. The mechanism isbased on the changed physical state of the mediumand takes into account its structure. Two soil models have been proposed. The first one-parameter soil model is called a "sandwich (layer-cake)". The second two-parameter soil model is called a "loose sandwich". In here, the first model is a special case of the second one. Both parameters have simple physical significance. According to the proposed mechanism, the effect of vibration on soil consolidation is reduced to redistribution of the relationship between the stress insoil skeleton and the pressure of pore water versus the value of "vibration pressure" in such a way that the pore water pressure increases but, nevertheless, cannot exceed the value of the external static load.