Abstract: The invention disclosed is a self-supporting porous ceramic material, which is typically used in ceramic filters as a substrate prior to coating with a thin dense membrane layer of additional ceramic material. Conventional ceramic support structures are not necessarily designed as membrane support substrates. They are typically made with monosized particles and have a uniform cross section. The present support structure is made via a polydisperse slurry method where a functionally gradient structure is achieved by a colloidal destabilization technique. The key for achieving this structure is to colloidally unstable or metastable suspensions of a controlled and broad particle size distribution, so that segregation based on particle diameter will occur during consolidation. This produces a continuously finer mean particle diameter axial profile from one major surface to the other on the cross section of the consolidated structure.