An extrusion system for separating particulates entrained in wash water, e.g. from harvesting tuberous produce, includes a settling tank configured to receive a flow of particulated water. A diffuser suspended within the tank converts the flow of particulated water into multiple transverse flows to avoid churning settled particulates. A particulate filter fixed within the tank includes a central channel surrounded by a cylindrical array of cantilevered parallel vertical blades. The channel directs the flows below the blades, causing dynamic movement of the blades as the particulated water rises therebetween to trap particulates along boundary layers, promote particulate settling by gravity, and allow clarified water to rise to the top of the tank. A sensor detects settled particulate reaching a predetermined setpoint, and in response the system actuates an auger and opens a pinch valve to force concentrated particulate from the bottom of the tank.