Disclosed herein are modular filter assemblies having a plurality of stacked filter plates formed from a porous material. The filter plate can comprise a planar base portion from which a convoluted ridge wall, having a ridge outer side surface, a ridge inner surface, and a top ridge surface extends. A plurality of fluid inlet troughs and a plurality if fluid outlet troughs are defined by the ridge wall. Adjoining filter plates form a plurality of fluid inlet cavities defined by the fluid inlet trough of one filter plate and a portion of the bottom surface of the adjoining filter plate; and a plurality of fluid outlet cavities defined by the fluid outlet trough of the one filter plate and a portion of the bottom surface of the adjoining filter plate. In use, the plurality of fluid inlet cavities are in filtered communication with the plurality of fluid outlet cavities.