Near-Field Transport of Radioactive Chainsby C. -H. Kang, Korea Atomic Energy Research Inst, Daejeon, Republic of Korea,
P. L. Chambré, Korea Atomic Energy Research Inst, Daejeon, Republic of Korea,
T. H. Pigford, Korea Atomic Energy Research Inst, Daejeon, Republic of Korea,
W. W. -L. Lee, Korea Atomic Energy Research Inst, Daejeon, Republic of Korea,
Abstract: Much attention has been given to predicting the near-field mass transfer of a single radioactive species from a waste solid into surrounding porous material, but only limited consideration has been given to predicting the coupled mass transfer of species in a radioactive decay chain. Here we present an analysis that assumes that the members of a decay chain dissolve congruently with a solubility-limited matrix. Here 'dissolution' refers to the net process of dissolving in ground water. A solid species that may temporarily dissolve in interacting with water to form a precipitate is not considered to have dissolved. We give the general, non-recursive analytic solutions for the transport of a radioactive decay chain in a finite porous medium when nuclides are released congruently with the matrix. To illustrate we consider the decay chain 234U→230Th→226Ra from spent fuel. These solutions are useful and potentially important in performance assessment of nuclear waste repositories.
Subject Headings: Decomposition | Radioactive wastes | Mass transfer | Porous media | Matrix (mathematics) | Fuels | Solid mechanics | Solubility
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