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                           influenced by climatic changes. Also, degradation of the polyethylene geomembrane
                           layer was considered for future conditions.                  Arnold
                             The RAECOM software program (Rogers et al., 1984) was used to simulate steady-
                           state, one-dimensional diffusion of  222 Rn through a five layer cover system at the
                           Monticello site. The uncertainty analysis was conducted by coupling the RAECOM
                           code with the FRAMES software program, which supports Monte Carlo analyses
                           with automated parameter sampling using the Latin Hypercube method (Wyss and
                           Jorgensen, 1998). Uncertainty distributions were assigned to the parameters for
                           each of the layers in the landfill system based on variations in site measurements.
                           A negative correlation was assigned to the sampling of effective diffusion coeffi-
                           cient and the moisture content, based on the relationship reported in Rogers et al.
                           (1984).
                             For the Monte Carlo analyses of uncertainty in  222 Rn flux through the surface of
                           the landfill cover system, 100 realizations of the diffusion model were run for present
                           conditions and for future conditions. The results of these simulations are shown as
                           a cumulative distribution of surface  222 Rn flux in Figure 20.1. For present climatic
                           conditions and essentially undegraded geomembrane performance, the uncertainty in
                           simulated  222 Rn flux at the land surface spans more than two orders of magnitude
                                                             2
                           with a maximum value of about 1 pCi/m · s. For future conditions (greater than
                           100 years), the simulated  222 Rn flux shows a similar span in uncertainty and has
                                                    2
                           a maximum value of 29 pCi/m · s. Overall, these results indicate a high degree of
                           confidence (greater than 97%) that the landfill cover design at Monticello meets the
                                                        2
                           performance objective of 20 pCi/m · sof  222 Rn flux for both present and future
                           conditions.


                                           1


                                          0.8
                                        Cumulative probability  0.6  Present  Future  40 CFR Part 61.222





                                          0.4

                                          0.2


                                           0
                                                   0.01    0.1    1      10     100
                                                                     2
                                                       Radon flux  (pCi/m s) ·
                           Figure 20.1.  Cumulative distribution of simulated radon flux from uncertainty analyses of the Monticello
                           uranium mill tailings cover, for present and future conditions
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