Analytical model for three-dimensional plume migration of a radionuclide decay chain
Abstract
An analytical model for simulating three-dimensional plume migration of a radionuclide decay chain and assessing the radiological dose impact on the general public is introduced in this study. The analytical model accounts for the one-dimensional advection, three-dimensional dispersion, linear equilibrium sorption and first-order decay reactions. The analytical solutions for members of the decay chain are generalized in a compact format in the Laplace domain and the concentration in the real time domain of individual nuclide is independently evaluated with the help of the accurate and efficient Laplace numerical inversion algorithms. The accuracy of the developed analytical model is evaluated by comparison of our model with an existing analytical model described in the literature. The results of verification exercise indicate that the developed model is accurate and robust. The developed model is then applied to an illustrative example that simulates the three-dimensional plume migration of a radionuclide decay chain on both the temporal and spatial scales.
- Publication:
-
AGU Fall Meeting Abstracts
- Pub Date:
- December 2019
- Bibcode:
- 2019AGUFM.H21I1849C
- Keywords:
-
- 1829 Groundwater hydrology;
- HYDROLOGY;
- 1831 Groundwater quality;
- HYDROLOGY;
- 1832 Groundwater transport;
- HYDROLOGY;
- 1847 Modeling;
- HYDROLOGY