Abstract:
A statistical transport equation is presented in this paper to obtain the ensemble average
keff for the binary stochastic media with random fissile pellets.Combined method of statistics and deterministics is proposed to directly solve the multiplying binary stochastic problem in 1-D spherical geometry.In the combined method,Monte Carlo sampling method is employed to determine the mean chord length of the stochastic system then deterministic S
N diamond difference,source iteration method is used to solve the statistical transport equation with eigenvalue.Test stochastic problems of different scattering ratio,different chord-path ratio and different number of random fissile spheres are constructed and compared with references and uniformly-distributed approximated cases.Results show that the mean value of
keff for the given systems can be predicted accurately by the statistical equation in most given cases.