The review of the available literature on thermobaric explosives and enhanced blast explosives (high-destructive explosives) is done in the paper. These types of explosives are defined, their common features and differences are shown. Special attention is paid to the physical phenomena accompanying the process of explosion of such fuel-enriched heterogeneous explosives. These materials are divided into liquid and solid mixtures and composite materials, including layered charges. The considered explosives are characterized in details, methods of determination of their blast parameters are discussed and the results of experimental tests are presented.