Tortuosity induced by defects in porous media

In this paper we investigate the effects of defects on the tortuosity of an homogeneous fluid saturated porous medium. These defects are modeled by porous inclusions which alter the steady motion of the viscous fluid flowing in the medium. In this model the fluid velocity is solution of equations deduced from the Darcy’s law in the host medium and in the inclusions, subject to boundary conditions at the interface between the inclusions and the medium. The shape of the perturbed fluid streamlines allows the determination of the tortuosity induced by the defects and its consequences on the acoustic wave propagation in this medium.