In the sector relating to the technology of compaction by means of vacuum vibro-compression for manufacturing slabs or blocks, the organic binder resin consists of an aqueous dispersion of acrylic prepolymer in water and a filler part consists of a hydraulic binder in an amount sufficient to fix wholly or partly the water present in the initial mix; after the vibro-compression step the rough-formed article is subjected to a hardening and curing step in conditions such as to prevent the evaporation of the mix water and subsequently to a heating step so as to obtain crosslinking of the acrylic polymer. If the acrylic binder alone is used, an article with a high degree of porosity is obtained.