Volume 4, Issue 1, September 2013, Pages 171–181
M. Kaddour1, T. El Bardouni2, Y. Boulaich3, O. Allaoui4, B. El Bakkari5, C. El Younoussi6, M. Azahra7, H. Boukhal8, S. EL Ouahdani9, and E. Chakir10
1 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
2 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
3 CEN-Maamora, CNESTEN, Rabat, Morocco
4 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
5 CEN-Maamora, CNESTEN, Rabat, Morocco
6 CEN-Maamora, CNESTEN, Rabat, Morocco
7 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
8 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
9 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
10 Nuclear Physic Laboratory, Faculty of Sciences, Kenitra, Morocco
Original language: English
Copyright © 2013 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The main objective of this study is the knowledge of the impact of the atomic density on the uncertainty of the effective multiplication factor (Keff) due to the uncertainties in elastic and inelastic scattering, capture and fission cross sections. Six thermal cases of the benchmark (HEU-SOL-THERM-001) have been studied by using a recently updated nuclear data evaluation JENDL4 to calculate the sensitivity vectors for 1H, 16O, 235U and 238U isotopes. These sensitivity profiles are calculated by using the adjoint-weighted perturbation method based on the Kpert card; and we validated them with the KENO code results, with the differential operator technique of the MCNP5 code and with two nuclear data evaluations (ENDF/B-VI.8 and ENDF/B-VII.0). Kpert card is used by the Monte Carlo code MCNP6. Thus, the Keff uncertainties induced by nuclear data uncertainties have been calculated by combining the sensitivity vectors with the covariance matrices that are generated by the ERRORJ module of the recently updated of the nuclear data processing system NJOY99. This study shows that: it must the cross sections and covariance matrices adjustment of the isotopes that have the great atomic densities and it must the cross sections and covariance matrices adjustment of the fissile isotopes even if they have small atomic density in nuclear reactors.
Author Keywords: Atomic density, Cross section, Keff, Sensitivity, Covariance matrix, Nuclear uncertainty, MCNP6.
M. Kaddour1, T. El Bardouni2, Y. Boulaich3, O. Allaoui4, B. El Bakkari5, C. El Younoussi6, M. Azahra7, H. Boukhal8, S. EL Ouahdani9, and E. Chakir10
1 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
2 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
3 CEN-Maamora, CNESTEN, Rabat, Morocco
4 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
5 CEN-Maamora, CNESTEN, Rabat, Morocco
6 CEN-Maamora, CNESTEN, Rabat, Morocco
7 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
8 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
9 Radiations and Nuclear Systems Laboratory, University Abdelmalek Essaadi, Faculty of Sciences, Tetuan, Morocco
10 Nuclear Physic Laboratory, Faculty of Sciences, Kenitra, Morocco
Original language: English
Copyright © 2013 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The main objective of this study is the knowledge of the impact of the atomic density on the uncertainty of the effective multiplication factor (Keff) due to the uncertainties in elastic and inelastic scattering, capture and fission cross sections. Six thermal cases of the benchmark (HEU-SOL-THERM-001) have been studied by using a recently updated nuclear data evaluation JENDL4 to calculate the sensitivity vectors for 1H, 16O, 235U and 238U isotopes. These sensitivity profiles are calculated by using the adjoint-weighted perturbation method based on the Kpert card; and we validated them with the KENO code results, with the differential operator technique of the MCNP5 code and with two nuclear data evaluations (ENDF/B-VI.8 and ENDF/B-VII.0). Kpert card is used by the Monte Carlo code MCNP6. Thus, the Keff uncertainties induced by nuclear data uncertainties have been calculated by combining the sensitivity vectors with the covariance matrices that are generated by the ERRORJ module of the recently updated of the nuclear data processing system NJOY99. This study shows that: it must the cross sections and covariance matrices adjustment of the isotopes that have the great atomic densities and it must the cross sections and covariance matrices adjustment of the fissile isotopes even if they have small atomic density in nuclear reactors.
Author Keywords: Atomic density, Cross section, Keff, Sensitivity, Covariance matrix, Nuclear uncertainty, MCNP6.
How to Cite this Article
M. Kaddour, T. El Bardouni, Y. Boulaich, O. Allaoui, B. El Bakkari, C. El Younoussi, M. Azahra, H. Boukhal, S. EL Ouahdani, and E. Chakir, “Impact of the atomic density on the uncertainty of the effective multiplication factor due to nuclear data uncertainties,” International Journal of Innovation and Applied Studies, vol. 4, no. 1, pp. 171–181, September 2013.
