Some findings are reported on theoretical and experimental research studies of mechanical, structural, physical and chemical properties, micro-and macrokinetic adsorptive, catalytic and regenerative characteristics of heterogeneous alumina catalyst-adsorbents used for decontamination of individual volatile organic compounds (VOC) and their multicomponent mixtures. Data on fluid dynamics, heat and mass transfer in fixed, gravity-moving and fluidized beds in novel energy-saving (i) adsorptive, (ii) adsorptive-catalytic, (iii) thermocatalytic with a quasistationary fluidized and (iiii) with a fixed catalyst beds and deep intercyclic heat recovery of purification systems are obtained and discussed. Correlations are suggested to calculate a number of investigated parameters, and the schematics and operating principles of these technologies are described.