Resonance filtration flows in a fluid-saturated porous medium

The possibility of organization of directed monotonic motions of fluids and inclusions in a porous medium under wave action was studied. The main idea of the wave technologies is to transform wave actions into a unidirectional monotonic motion implementing the necessary technological progress. The friction in the skeleton of the porous medium is usually neglected in estimating the wave attenuation, and the attenuation is assumed to be determined by the relative motions of the fluid and the skeleton. The general solution in the form of the sum of traveling waves was substituted into the boundary condition to study the eigenfrequencies of the linear system. The main contribution to the flow is due to interphase friction between the fluid and the skeleton for eigenfrequencies and is provided by the interaction between the waves of changing porosity and the relative flow velocity of the fluid. It was observed that the wave action may be equivalent to huge pressure gradients.