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Extension of Bayesian inference for multi-experimental and coupled problem in neutronics a revisit of the theoretical approach

In this document, we rewrite Orlov theory to extend to multiple experimental values and parameters adjustment. We found that the multidimensional system expression looks like can be written as the monodimensional system in a matrix form. | Extension of Bayesian inference for multi-experimental and coupled problem in neutronics a revisit of the theoretical approach EPJ Nuclear Sci. Technol. 4 19 2018 Nuclear Sciences T. Frosio et al. published by EDP Sciences 2018 amp Technologies https doi.org 10.1051 epjn 2018046 Available online at https www.epj-n.org REGULAR ARTICLE Extension of Bayesian inference for multi-experimental and coupled problem in neutronics a revisit of the theoretical approach Thomas Frosio Thomas Bonaccorsi and Patrick Blaise French Atomic Energy and Alternative Energies Commission CEA DEN CAD Reactor Studies Department 13108 Saint Paul-Lez-Durance France Received 4 February 2018 Received in final form 22 April 2018 Accepted 9 July 2018 Abstract. Bayesian methods are known for treating the so-called data re-assimilation. The Bayesian inference applied to core physics allows to get a new adjustment of nuclear data using the results of integral experiments. This theory leading to reassimliation encompasses a broader approach. In previous papers new methods have been developed to calculate the impact of nuclear and manufacturing data uncertainties on neutronics parameters. Usually adjustment is performed step by step with one parameter and one experiment by batch. In this document we rewrite Orlov theory to extend to multiple experimental values and parameters adjustment. We found that the multidimensional system expression looks like can be written as the monodimensional system in a matrix form. In this extension correlation terms appears between experimental processes manufacturing and measurements and we discuss how to fix them. Then formula are applied to the extension to the Boltzmann Bateman coupled problem where each term could be evaluated by computing depletion uncertainties studied in previous papers. 1 Introduction However results concerning the nuclear data propaga- tion on GEN-II and GEN-III reactor parameters and even The required accuracies on the nuclear data are .