Report on Simulation of Fission Gas and Fission Product Diffusion in UO2

Report on Simulation of Fission Gas and Fission Product Diffusion in UO2

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Published: 2016

Total Pages: 25

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In UO2 nuclear fuel, the retention and release of fission gas atoms such as xenon (Xe) are important for nuclear fuel performance by, for example, reducing the fuel thermal conductivity, causing fuel swelling that leads to mechanical interaction with the clad, increasing the plenum pressure and reducing the fuel-clad gap thermal conductivity. We use multi-scale simulations to determine fission gas diffusion mechanisms as well as the corresponding rates in UO2 under both intrinsic and irradiation conditions. In addition to Xe and Kr, the fission products Zr, Ru, Ce, Y, La, Sr and Ba have been investigated. Density functional theory (DFT) calculations are used to study formation, binding and migration energies of small clusters of Xe atoms and vacancies. Empirical potential calculations enable us to determine the corresponding entropies and attempt frequencies for migration as well as investigate the properties of large clusters or small fission gas bubbles. A continuum reaction-diffusion model is developed for Xe and point defects based on the mechanisms and rates obtained from atomistic simulations. Effective fission gas diffusivities are then obtained by solving this set of equations for different chemical and irradiation conditions using the MARMOT phase field code. The predictions are compared to available experimental data. The importance of the large XeU3O cluster (a Xe atom in a uranium + oxygen vacancy trap site with two bound uranium vacancies) is emphasized, which is a consequence of its high mobility and high binding energy. We find that the XeU3O cluster gives Xe diffusion coefficients that are higher for intrinsic conditions than under irradiation over a wide range of temperatures. Under irradiation the fast-moving XeU3O cluster recombines quickly with irradiation induced interstitial U ions, while this mechanism is less important for intrinsic conditions. The net result is higher concentration of the XeU3O cluster for intrinsic conditions than under irradiation. We speculate that differences in the irradiation conditions and their impact on the XeU3O cluster can explain the wide range of diffusivities reported in experimental studies. However, all vacancy-mediated mechanisms underestimate the Xe diffusivity compared to the empirical radiation-enhanced rate used in most fission gas release models. We investigate the possibility that diffusion of small fission gas bubbles or extended Xe-vacancy clusters may give rise to the observed radiation-enhanced diffusion coefficient. These studies highlight the importance of U divacancies and an octahedron coordination of uranium vacancies encompassing a Xe fission gas atom. The latter cluster can migrate via a multistep mechanism with a rather low effective barrier, which together with irradiation-induced clusters of uranium vacancies, gives rise to the irradiation-enhanced diffusion coefficient observed in experiments.


Atomic-scale Simulation of Soluble Fission Products in UO2

Atomic-scale Simulation of Soluble Fission Products in UO2

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Published: 2009

Total Pages:

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The continuously increasing amount of energy produced within the nuclear fuel in the reactor is accompanied by an incessant increase of the number of fission products (FPs), which affects the thermo-mechanical behaviour of the fuel rods and eventually limits its lifetime. More precisely the FPs can contribute to an increase of the fuel volume, commonly referred to as fission product swelling, and lead to a chemical as well as a mechanical interaction between the ceramic fuel pellets and the metallic cladding material constituting the first barrier against the release of radioactive FP in the environment. A precise prediction of the moment at which such an interaction is established during the lifetime of a fuel rod in the reactor, or the moment at which the cladding material may fail as a result of such an interaction is strongly affected by the capability to predict the fuel swelling. The contribution of the various classes of fission products to the swelling of the fuel depends strongly on their physical and chemical properties. Because of their virtual negligible solubility, inert gas atoms for instance, have a tendency to precipitate and form bubbles, whereas the soluble fission products will remain within the matrix during normal operating conditions. Accurately predicting the contribution of each (type of) fission product is required for the accurate forecast of the fuel swelling. Nevertheless, there are many uncertainties pertaining to the contribution from each class of FP. The present report aims at assessing the contribution from the soluble FPs by means of an atomistic simulation of the effect of each element on the lattice parameter of the fuel crystal. In the first part a review of previous simulation studies of FPs is provided. In this report, results for the defect volumes associated with the introduction of FP ions in UO2 and uranium dioxide lattice volume swelling as a function of FP concentration are presented, which have not been considered before. In the following section, a review is given of the experimental data available in the open literature for each fission product separately. The details of the fabrication as well as the experimental analysis are provided since they are essential for a comparison of our computations with the experimental data. The theoretical assessment of the effect of each FP on the lattice parameter of UO2 is provided in the third section, and is followed by a direct successful comparison with the experimental results for individual FPO2/FPO/FP2O3-UO2 systems. The models should therefore be reliable for FPs where no or little experimental data exists such as for Sm accommodation in UO2.In the subsequent section, a linear model is developed that combines the isolated defect cluster predictions in the Mott-Littleton technique for predicting the total contribution of all soluble FP on the fuel swelling in UO2 as a function of the burnup. The comparison with experimental volume change data is excellent for annealed irradiated UO2 up to approximately 3% burnup. Understanding swelling in uranium dioxide at larger burnup levels requires models accounting for FP-FP interactions beyond the cluster level considered here. This model for swelling behaviour of UO2 at low burnups is, however, suitable for inclusion in fuel performance codes such as TRANSURANUS. (The present document is extracted from the dissertation presented at Imperial College London for obtaining the degree of Doctor of Philosophy by K.H. Desai in September 2008).


Migration of Fission Products in UO[sub 2]. Final Report

Migration of Fission Products in UO[sub 2]. Final Report

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Published: 2001

Total Pages:

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Results of an experimental and calculational effort to examine the fundamental mechanisms of fission product migration in and release from polycrystalline uranium dioxide are reported. The experiments were designed to provide diffusion parameters for the representative fission products tellurium, iodine, xenon, molybdenum and ruthenium under both reducing and oxidizing conditions. The calculational effort applied a new model of fission product release from reactor fuel that incorporates grain growth as well as grain boundary and lattice diffusion.


A Fission Gas Release Correlation for Uranium Nitride Fuel Pins

A Fission Gas Release Correlation for Uranium Nitride Fuel Pins

Author: Michael B. Weinstein

Publisher:

Published: 1973

Total Pages: 68

ISBN-13:

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A model was developed to predict fission gas releases from UN fuel pins clad with various materials. The model was correlated with total release data obtained by different experimentors, over a range of fuel temperatures primarily between 1250 and 1660 K, and fuel burnups up to 4.6 percent. In the model, fission gas is transported by diffusion mechanisms to the grain boundaries where the volume grows and eventually interconnects with the outside surface of the fuel. The within grain diffusion coefficients are found from fission gas release rate data obtained using a sweep gas facility.


Microstructural Explicit Simulation of Grain Boundary Diffusion in Depleted UO2

Microstructural Explicit Simulation of Grain Boundary Diffusion in Depleted UO2

Author: Harn Chyi Lim

Publisher:

Published: 2011

Total Pages: 82

ISBN-13:

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The behavior of the fission products, as they are released from fission events during nuclear reaction, plays an important role in nuclear fuel performance. Fission product release can occur through grain boundary (GB) at low burnups; therefore, this study simulates the mass transport of fission gases in a 2-D GB network to look into the effects of GB characteristics on this phenomenon, with emphasis on conditions that can lead to percolation. A finite element model was created based on the microstructure of a depleted UO2 sample characterized by Electron Backscattering Diffraction (EBSD). The GBs were categorized into high (D2), low (D1) and bulk diffusivity (Dbulk) based on their misorientation angles and Coincident Site Lattice (CSL) types. The simulation was run using different diffusivity ratios (D2/Dbulk) ranging from 1 to 10^8. The model was set up in three ways: constant temperature case, temperature gradient effects and window methods that mimic the environments in a Light Water Reactor (LWR). In general, the formation of percolation paths was observed at a ratio higher than 10^4 in the measured GB network, which had a 68% fraction of high diffusivity GBs. The presence of temperature gradient created an uneven concentration distribution and decreased the overall mass flux. Finally, radial temperature and fission gas concentration profiles were obtained for a fuel pellet in operation using an approximate 1-D model. The 100 m long microstructurally explicit model was used to simulate, to the scale of a real UO2 pellet, the mass transport at different radial positions, with boundary conditions obtained from the profiles. Stronger percolation effects were observed at the intermediate and periphery position of the pellet. The results also showed that highest mass flux happens at the edge of a pellet at steady state to accommodate for the sharp concentration drop.