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Contaminant transport in one‐dimensional single fractured media: semi‐analytical solution for three‐member decay chain with pulse and Heaviside input sources
Authors:David Ching‐Fang Shih
Affiliation:1. Department of Geosciences, National Taiwan University, Taipei, Taiwan, ROC;2. Institute of Nuclear Energy Research, AEC, Lungtan, Taiwan, ROC
Abstract:A semi‐analytical solution of the one‐dimensional transport for considering a three‐member decay chain in a single fracture with pulse and Heaviside input sources has been studied using the Laplace transform and its numerical inversion. The results reveal that breakthrough curves of dimensionless concentration for the decay chain of Np‐237, U‐233, and Th‐229 in the fracture can be well demonstrated in the temporal and spatial domains. The conditions with and without retardation effects are also compared. During the preliminary screening phase the solutions are suitable for performance assessment on radioactive waste disposal sites under a one‐dimensional single fracture condition. Copyright © 2007 John Wiley & Sons, Ltd.
Keywords:groundwater  fracture  contaminant transport  radioactive nuclide  Np‐237  U‐233  Th‐229
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