The aim of this work is to study the effects of a multi-source ignition in a wide energy range on a two-phase mixture explosion composed of agricultural dusts with a gaseous fuel (methane or propane) and, more particularly, the pressure history inside a partitioned vessel. The initiation is introduced in the form of an increase of internal energy and a calculation methodology, which interestingly in the field of risk assessment is used to simulate the transmission of the explosion from one compartment to another adjacent compartment by means of the hot flow through the shared orifice and finally to generalize this methodology to a complex multi-partitioned structure. The basic characteristics of the model have been developed for the ignition and the combustion of dust suspensions and adapted to hybrid mixtures with appropriate parameters linked to simplified kinetics. A simple representation of the combustion phenomena based on energy transfers and the action of specific molecular species is presented. The model allows the study of the influence of various parameters, such as the dust or the gas concentration, the different ignition energies and their locations, and the size of the inner openings or the vent areas. The theoretical results have been compared with many data available in the literature and indicate correct preliminary tendencies.