Monte Carlo simulation of a random field model for transport

Monte Carlo Simulation is used to study of a random field based model of transport inspired by the problem of the transport of a passive scalar through a porous medium. The Simulation technique employed to generate the random velocity field is the random shearing direction method in conjunction with the randomization method. A comparison of the Simulation results with a theoretical prediction of Koch and Brady (1988) is made. In the case when the constant mean velocity is strong relative to the random part of the velocity field, the Simulation and the theoretical prediction are in good agreement; on the other hand, when the mean velocity is weak relative to the random fluctuations, the Simulation and prediction do not agree.