journal article·2021-07

Sensitivity analysis of BISON model for characterization of impact of experimental parameters on hydrogen migration and redistribution in zirconium-based alloys

Seok Bin Seo, Edward Matthew Duchnowski, Miles O'Neal, Arthur T. Motta, Florian Passelaigue, Soyoung Kang, Giovanni Pastore, Annalisa Manera, Victor Petrov, Pei-Hsun Huang, Nicholas R. Brown

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Abstract

Abstract The formation of hydrides, a result from excess hydrogen uptake by the cladding during nuclear reactor operation, can significantly impact cladding integrity. We present a sensitivity and uncertainty analysis of a hydrogen predictive model in the BISON fuel performance code to characterize the key input parameters involved in the model. This includes identifying the key parameters necessary to simulate hydrogen behavior in the fuel cladding, revealing the impact of environmental conditions on hydrogen distribution, and informing the envelope of conditions for ongoing experimental work conducted by the University of Michigan. The Sobol sensitivity analysis reveals the quantitative impacts of environmental conditions on the predicted total hydrogen concentration, as well as the respective impact on their sensitivity with respect to the physical parameters. Overall, the precipitation of hydrogen that occurred at the cold end of the sample is the most important phenomenon in the prediction of hydrogen concentration. The optimization study using the results from sensitivity analysis indicates that the BISON simulations produce accurate hydrogen predictions when the sets of parametric ranges are shifted to enable more precipitation to occur at the cold end. Lastly, the sensitivity and uncertainty (S/U) analysis for the ongoing benchmarking experiments supports the focus of experiments that lies on the measurement of Soret effect of hydrogen driven by linear temperature gradients. The outputs are expected to better characterize the various parameters involved in the hydrogen transport model in the BISON code, and improve the understanding of the hydrogen transport behaviors in zirconium-based fuel cladding in a range of expected environmental conditions.
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Research context

OpenAlex topics: Nuclear Materials and Properties · Nuclear reactor physics and engineering · Thermodynamic and Structural Properties of Metals and Alloys

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (63)

Show source-provided references
1. A review on the clad failure studies10.1016/j.nucengdes.2011.08.009 ↗
2. Lemaignan, C. and A.T. Motta, Zirconium alloys in nuclear applications. Materials Science and Technology, A Comprehensive Treatment, ed. B.R.T. Frost. Vol. 10 B. 1994, New York: VCH.
3. Hydride formation in Zirconium alloys10.1007/s11837-012-0479-x ↗
4. Behavior of 60 to 78MWd/kgU PWR fuels under reactivity-initiated accident conditions10.1080/18811248.2006.9711198 ↗
5. Influence of hydrogen content on the α/β phase transformation temperatures and on the thermal-mechanical behavior of Zy-4, M4 (ZrSnFeV), and M5™ (ZrNbO) alloys during the first phase of LOCA transient
6. Hydrogen pickup in various Zirconium alloys during corrosion exposure in high-temperature water and steam10.1149/1.2427781 ↗
7. Effects of hydrogen on thermal creep behaviour of Zircaloy fuel cladding10.1016/j.jnucmat.2017.10.015 ↗
8. Banerjee · 2007
9. Hydrogen in zirconium alloys: A review10.1016/j.jnucmat.2019.02.042 ↗
10. Hydride precipitates in zirconium alloys (A review)10.1016/0022-3115(68)90021-4 ↗
11. Terminal solubility and partitioning of hydrogen in the alpha phase of zirconium, zircaloy-2 and zircaloy-410.1016/0022-3115(67)90047-5 ↗
12. The influence of a hydrided layer on the fracture of Zircaloy-4 cladding tubes
13. Hydrogen in Zircaloy: mechanism and its impacts10.1016/j.ijhydene.2015.03.049 ↗
14. Effects of alloying elements and cold work on the redistribution of hydrogen in zirconium under a temperature gradient10.1016/0022-3115(69)90020-8 ↗
15. Hydrogen pickup and redistribution in alpha-annealed zircaloy-4
16. The diffusion and solubility of hydrogen in the alpha-phase of zircaloy-210.1016/0022-3115(60)90025-8 ↗
17. The heat of transport of hydrogen in zirconium alloys10.1016/0022-3115(63)90154-5 ↗
18. Sugisaki, M., K. Hashizume, and Y. Hatano, Estimation of hydrogen redistribution in zircaloy cladding of spent fuel under thermal conditions of dry storage and evaluation of its influence on mechanical properties of the cladding. 2002, IAEA: Vienna, Austria.
19. Evidence against amorphous phase formation by the solid state reaction of iron on single-crystal Zr(0001) in ultrahigh vacuum10.1016/0921-5107(92)90299-O ↗
20. Koiwa · 1993 · 323
21. Hydride formation by high temperature cathodic hydrogen charging method and its effect on the corrosion behavior of Zircaloy-4 tubes in acid solution10.1016/S0022-3115(98)00180-9 ↗
22. Hydride precipitation kinetics in Zircaloy-4 studied using synchrotron X-ray diffraction10.1016/j.jnucmat.2015.02.035 ↗
23. Thermotransport of hydrogen in Zircaloy-4 and modified Zircaloy-410.1016/S0022-3115(98)00430-9 ↗
24. Determination of hydride solubility in alpha phase zirconium, zircaloy-2 and zircaloy-410.1016/0022-3115(62)90101-0 ↗
25. Solubility of hydrogen in Zircaloy-4: irradiation induced increase and thermal recovery10.1016/S0022-3115(02)00883-8 ↗
26. Experimental determination of zirconium hydride precipitation and dissolution in zirconium alloy10.1016/j.jnucmat.2018.06.038 ↗
27. Dissolution and precipitation behavior of hydrides in Zircaloy-2 and high Fe Zircaloy10.1016/S0022-3115(03)00320-9 ↗
28. Synchrotron diffraction study of dissolution and precipitation kinetics of hydrides in Zircaloy-410.1016/j.jnucmat.2011.11.009 ↗
29. Terminal solid solubility of hydrogen in unalloyed zirconium by differential scanning calorimetry10.1080/18811248.2004.9715569 ↗
30. The terminal solid solubility of hydrogen in zirconium alloys
31. Hydride behavior in Zircaloy cladding tube during high-temperature transients10.1016/j.jnucmat.2011.05.048 ↗
32. Billone · 2008
33. Variance-based sensitivity analysis applied to hydrogen migration and redistribution model in Bison. Part I: Simulation of historical experiments10.1016/j.jnucmat.2019.06.035 ↗
34. Variance-based sensitivity analysis applied to the hydrogen migration and redistribution model in Bison. Part II: uncertainty quantification and optimization10.1016/j.jnucmat.2019.06.023 ↗
35. Multidimensional simulations of hydrides during fuel rod lifecycle10.1016/j.jnucmat.2015.06.037 ↗
36. Zirconium hydride precipitation and dissolution kinetics in the hysteresis region in zirconium alloys
37. Diffusion coefficient of hydrogen in alpha zirconium, Zircaloy-2 and Zircaloy-410.1016/0022-3115(72)90065-7 ↗
38. The long-range migration of hydrogen through zircaloy in response to tensile and compressive stress gradients
39. Review of the thermodynamic basis for models of delayed hydride cracking rate in zirconium alloys10.1016/j.jnucmat.2009.06.022 ↗
40. Modeling and simulation of hydrogen behavior in Zircaloy-4 fuel cladding10.1016/j.jnucmat.2014.05.013 ↗
41. Hydrides and delayed hydrogen cracking in zirconium and its alloys
42. Puls · 2014
43. Observation of growth of a precipitate at a stress concentration by synchrotron X-ray diffraction10.1016/j.scriptamat.2009.10.031 ↗
44. Homogeneous hydride formation path in α-Zr: Molecular dynamics simulations with the charge-optimized many-body potential10.1016/j.actamat.2016.03.079 ↗
45. Sea surface target detection based on complex ARMA-GARCH processes10.1016/j.dsp.2017.07.017 ↗
46. Hydrogen supercharging in Zircaloy10.1016/0025-5416(71)90016-4 ↗
47. Implementation and validation of the hydride nucleation-growth-dissolution (HNGD) model in BISON10.1016/j.jnucmat.2020.152683 ↗
48. Merlino · 2019
49. Multidimensional multiphysics simulation of nuclear fuel behavior10.1016/j.jnucmat.2012.01.012 ↗
50. Comparison of global sensitivity analysis methods – Application to fuel behavior modeling10.1016/j.nucengdes.2015.11.025 ↗
51. An integrated approach to source term uncertainty and sensitivity analyses for nuclear reactor severe accidents10.1080/00223131.2015.1044262 ↗
52. Relationship between sensitivity indices defined by variance- and covariance-based methods10.1016/j.ress.2017.05.038 ↗
53. Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates10.1016/S0378-4754(00)00270-6 ↗
54. Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index10.1016/j.cpc.2009.09.018 ↗
55. Dissolution and precipitation behaviors of hydrides in N18, Zry-4 and M5 alloys10.1016/j.ijhydene.2009.07.018 ↗
56. Making best use of model evaluations to compute sensitivity indices10.1016/S0010-4655(02)00280-1 ↗
57. Convergence of sensitivity analysis methods for evaluating combined influences of model inputs10.1016/j.ress.2019.03.050 ↗
58. Global sensitivity analysis of environmental models: convergence and validation10.1016/j.envsoft.2016.02.005 ↗
59. Estimating Sobol sensitivity indices using correlations10.1016/j.envsoft.2012.03.014 ↗
60. Wales · 2003
61. Basin hopping as a general and versatile optimization framework for the characterization of biological macromolecules
62. Monte Carlo-minimization approach to the multipleminima problem in protein folding
63. Another look at measures of forecast accuracy10.1016/j.ijforecast.2006.03.001 ↗