As fluids and porous media are compressible, particularly if free gases are
present in the fluid and/or at the pore wall, the permeability of such med
ia varies as a function of the fluid pressure. Under high fluid pressure th
e permeability increases and under low pressure it decreases. Mechanical vi
brations discharged into porous media make the fluid pressure vary and, thu
s, cause flow by vibration which is directed out of the vibration source. W
ith regard to the specific use of mechanical vibrations for soil remediatio
n methods or injection techniques, for example, a Darcy equation based theo
ry and the fundamental principles of such flows are presented. Hereby, the
permeability included in the Darcy equation is a pressure-dependent paramet
er. The stationary pressure line equation and, in the case of a sine vibrat
ion, the equation of the time averaged Darcy velocity are given as a functi
on of the gas content in the fluid and at the pore wall.