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Gas hydrates are regarded as a high-potential type of alternative fuel for the power industry, transportation, space, and special-purpose equipment. Due to their high conversion rates and safe long-distance transportation by all means of transport, gas hydrates can be widely used as primary and secondary fuels. No one has yet developed a general theory of safe and effective gas hydrate ignition under different thermal conditions reproducing those of promising applications. There are no prediction models for an array of particles with different shapes and porosities. This research aims at studying such conditions. Using the experimental data obtained, we have developed a physical and mathematical model for numerical studies of gas hydrate ignition behavior. Here we consider the most promising compositions of methane-based hydrates. The ignition delay times are determined for the emerging gas-vapor mixture when two and three hydrate particles are heated in variable arrangement schemes and at different distances between them. We also determine how the key factors—size, number, and distance between hydrate particles, temperature of external gaseous medium, component composition of particles, as well as their shape and porosity—influence the ignition speed in the systems of interest. Approximations are obtained to predict the gas hydrate ignition characteristics as a function of the key factors and to extend the modeling results to the thermal conditions of the current and future power plants.