The filter contaminant loading capacity of a depth granular media filter is increased by imposing a so-called "back-slip" on the filter bed. At intervals between normal backwashing, a volume of liquid is passed upwardly through the media bed under flow conditions selected to displace at least some of the contaminants upwardly in the bed while essentially removing none of the contaminants from the filter vessel. Preferably, the filter bed comprises at least two media types of different but uniform particle sizes and densities, the media types each forming a distinct layer in which the effective particle size of the media in each successive layer decreases in a downward direction in the vessel.