Mathematical simulation is used to analyze systematically the results of testing an individual disk-type membrane-catalytic module for producing high-purity hydrogen from methane, with a capacity of about 0.3 m3H2/h, and the design data of a membrane-catalytic reactor based on 32 individual disk-type modules for producing high-purity hydrogen from diesel fuel, with a capacity of 7.45 m3H2/h. The used mathematical model adequately and on a good quantitative level describes the experimental and design data known from the literature. In terms of the used model representations, possible ways of increasing both the capacity of disk-type membrane-catalytic devices and the efficiency of extracting high-purity hydrogen from the original hydrocarbon material are considered.