Plate waves are used to determine the presence of defects within a porous medium, such as a membrane. An acoustic wave can be propagated through a porous medium to create a plate wave within the medium. The plate wave creates fast compression waves and slow compression waves within the medium that relate to the material and structural properties of the medium. The fast compression wave provides information about the total porosity of a medium. While the slow compression wave provides information about the presence of defects in the medium or the types of materials that form the medium.