In order to explore the problem of liquid fuel explosive dispersal, mathematical and physical models are established to depict the initial period of formation and the development process for the fuel-air cloud. For the initial period of gas-liquid movement (near-field regime), a one-dimensional uniform phase model is proposed to depict the motion of detonation product and liquid fuel ring, by using a method of moving boundary to treat the moving outer boundary. For the later process of multi-phase flow (far-field regime), a two-dimensional multi-phase flow model is established. Moreover, a computer program for de?scribing the whole process is established. I ne profiles of physical parameters in the expanding fuel-air cloud are predicted by numerical simulation, and the shape of expanding fuel-air cloud computed is in good agree?ment with the experimental data.