A Closed-form Solution for Source-term Emission of Xenon Isotopes from Underground Nuclear Explosions

Abstract Isotopic ratios of radioactive xenons sampled in the subsurface and atmosphere can be used to detect underground nuclear explosions (UNEs) civilian reactors. Disparities half-lives decay chains are principally responsible for time-dependent concentrations xenon isotopes. Contrasting timescales, combined with modern detection capabilities, make isotopic family a desirable surrogate UNE detection. However, without including physical details post-detonation cavity changes that affect radioxenon evolution transport, is treated as an idealized system both closed well mixed estimating their correlations so spatially dependent behavior production, leakage, transport overlooked. In this paper, we developed multi-compartment model interactions between compartments. The does not require detailed domain geometry parameterization normally needed by high-fidelity computer simulations, but represent nuclide within compartment migration among compartments under certain conditions. closed-form solution all nuclides series 131–136 derived using analytical singular-value decomposition. further express functions time position.