Stochastic simulation of particle transport by a random Darcy flow through a porous cylinder

A stochastic simulation method is developed for a numerical study of particle transport in random porous medium. The hydraulic conductivity is assumed to be a random field of a given statistical structure, the flow is modelled in a cylinder with prescribed boundary conditions. Numerical experiments are carried out by solving the random Darcy equation for each sample of the hydraulic conductivity by a SOR iteration method, and tracking Lagrangian trajectories in the simulated flow.