Abstract: The dispersed fuel element is often used in small integrated PWR. The fuel core is composed of a large number of small fuel microspheres mixed in the metal matrix, and the volume heterogeneity exists between the fuel particles and the matrix. If the local space self-screen effect of the dispersion fuel can not be effectively treated, it will bring some deviation to the calculation of physical property parameters. The traditional deterministic method neglects the double-heterogeneity of dispersive fuel. In this paper, the explicit modelling and the random medium program based on SuperMC are used to establish the volumetric homogenization model and grain model to verify double-heterogeneity. The traditional reactivity-equivalent physical transformation (RPT) model of the dispersive plate-fuel was established to correct the calculation deviation. The results show that the random media program combined with SuperMC can simulate the calculation of transport and burnup of various types of particles, and can well analyze and solve the double-heterogeneity problem.