A non-analog Monte Carlo simulation of transport of radionuclides in a porous medium

In this paper, a non-analog Monte Carlo methodology is applied to the transport of radionuclide chains in a geological medium. A Monte Carlo simulation is first constructed from an integral equation for the concentration of one radionuclide. This integral equation depends on the solution of an adjoint problem which brings more efficiency to the simulations. The simulation techniques are described. They are then generalized for the transport of several elements of a radionuclide chain. Finally, the method is illustrated by numerical tests.