Update of the Nuclear Criticality Slide Rule: Review of the estimation of the number of fissions

Matthieu Duluc; Johann Herth; Tristan Adatte; Dave Heinrichs; Soon Kim; Doug Bowen; Cihangir Celik; Mathieu Dupont

doi:10.13182/T126-37440

Update of the Nuclear Criticality Slide Rule: Review of the estimation of the number of fissions

Matthieu Duluc, Johann Herth, Tristan Adatte, Dave Heinrichs, Soon Kim, Doug Bowen, Cihangir Celik, Mathieu Dupont

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

IRSN (France), LLNL (USA) and ORNL (USA) began a long-term collaboration effort in 2015 to update the nuclear criticality Slide Rule (https://ncsp.llnl.gov/analytical-methods/criticality-sliderule) for the emergency response to a nuclear criticality accident. The Slide Rule permits the estimation of neutron and gamma dose rates and integrated doses based upon estimated fission yields, as a function of distance from the fission source, and time after criticality accidents for different critical systems. This paper presents the review of the section “estimation of the number of fissions”, named “fission yield” in the Slide Rule document. This estimation is important because the other information provided by the Slide Rule is directly proportional to the number of fissions. The previous models, based on Hansen and Barbry formulae, will be presented with their associated assumptions and limitations. Then, new proposals will be presented with a comparison to past criticality accidents and experimental data. The new formulae, based on the heat energy equation, cover many types of criticality accidents (solution, dry or low-moderated powder, rods/assemblies in water and dry metal) and require limited information in an emergency situation.

Original language	English
Title of host publication	Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting
Publisher	American Nuclear Society
Pages	446-455
Number of pages	10
ISBN (Electronic)	9780894487859
DOIs	https://doi.org/10.13182/T126-37440
State	Published - 2022
Event	2022 Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Anaheim, United States Duration: Jun 12 2022 → Jun 16 2022

Publication series

Name	Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting

Conference

Conference	2022 Nuclear Criticality Safety Division Topical Meeting, NCSD 2022
Country/Territory	United States
City	Anaheim
Period	06/12/22 → 06/16/22

Funding

This work was performed under the auspices of the U.S. Department of Energy by Oak Ridge National Laboratory and Lawrence Livermore National Laboratory under contracts DE-AC05-00OR22725 and DEAC52-07NA27344, respectively, and was funded by the U.S. Department of Energy Nuclear Criticality Safety Program and by Institut de Radioprotection et de S\u00FBret\u00E9 Nucl\u00E9aire.

Keywords

Criticality accident
Slide Rule
number of fissions

Access to Document

10.13182/T126-37440

Cite this

Duluc, M., Herth, J., Adatte, T., Heinrichs, D., Kim, S., Bowen, D., Celik, C., & Dupont, M. (2022). Update of the Nuclear Criticality Slide Rule: Review of the estimation of the number of fissions. In Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting (pp. 446-455). (Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting). American Nuclear Society. https://doi.org/10.13182/T126-37440

Duluc, Matthieu ; Herth, Johann ; Adatte, Tristan et al. / Update of the Nuclear Criticality Slide Rule : Review of the estimation of the number of fissions. Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting. American Nuclear Society, 2022. pp. 446-455 (Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting).

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title = "Update of the Nuclear Criticality Slide Rule: Review of the estimation of the number of fissions",

abstract = "IRSN (France), LLNL (USA) and ORNL (USA) began a long-term collaboration effort in 2015 to update the nuclear criticality Slide Rule (https://ncsp.llnl.gov/analytical-methods/criticality-sliderule) for the emergency response to a nuclear criticality accident. The Slide Rule permits the estimation of neutron and gamma dose rates and integrated doses based upon estimated fission yields, as a function of distance from the fission source, and time after criticality accidents for different critical systems. This paper presents the review of the section “estimation of the number of fissions”, named “fission yield” in the Slide Rule document. This estimation is important because the other information provided by the Slide Rule is directly proportional to the number of fissions. The previous models, based on Hansen and Barbry formulae, will be presented with their associated assumptions and limitations. Then, new proposals will be presented with a comparison to past criticality accidents and experimental data. The new formulae, based on the heat energy equation, cover many types of criticality accidents (solution, dry or low-moderated powder, rods/assemblies in water and dry metal) and require limited information in an emergency situation.",

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Duluc, M, Herth, J, Adatte, T, Heinrichs, D, Kim, S, Bowen, D , Celik, C & Dupont, M 2022, Update of the Nuclear Criticality Slide Rule: Review of the estimation of the number of fissions. in Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting. Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting, American Nuclear Society, pp. 446-455, 2022 Nuclear Criticality Safety Division Topical Meeting, NCSD 2022, Anaheim, United States, 06/12/22. https://doi.org/10.13182/T126-37440

Update of the Nuclear Criticality Slide Rule: Review of the estimation of the number of fissions. / Duluc, Matthieu; Herth, Johann; Adatte, Tristan et al.
Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting. American Nuclear Society, 2022. p. 446-455 (Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Duluc, Matthieu

AU - Herth, Johann

AU - Adatte, Tristan

AU - Heinrichs, Dave

AU - Kim, Soon

AU - Bowen, Doug

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AU - Dupont, Mathieu

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N2 - IRSN (France), LLNL (USA) and ORNL (USA) began a long-term collaboration effort in 2015 to update the nuclear criticality Slide Rule (https://ncsp.llnl.gov/analytical-methods/criticality-sliderule) for the emergency response to a nuclear criticality accident. The Slide Rule permits the estimation of neutron and gamma dose rates and integrated doses based upon estimated fission yields, as a function of distance from the fission source, and time after criticality accidents for different critical systems. This paper presents the review of the section “estimation of the number of fissions”, named “fission yield” in the Slide Rule document. This estimation is important because the other information provided by the Slide Rule is directly proportional to the number of fissions. The previous models, based on Hansen and Barbry formulae, will be presented with their associated assumptions and limitations. Then, new proposals will be presented with a comparison to past criticality accidents and experimental data. The new formulae, based on the heat energy equation, cover many types of criticality accidents (solution, dry or low-moderated powder, rods/assemblies in water and dry metal) and require limited information in an emergency situation.

AB - IRSN (France), LLNL (USA) and ORNL (USA) began a long-term collaboration effort in 2015 to update the nuclear criticality Slide Rule (https://ncsp.llnl.gov/analytical-methods/criticality-sliderule) for the emergency response to a nuclear criticality accident. The Slide Rule permits the estimation of neutron and gamma dose rates and integrated doses based upon estimated fission yields, as a function of distance from the fission source, and time after criticality accidents for different critical systems. This paper presents the review of the section “estimation of the number of fissions”, named “fission yield” in the Slide Rule document. This estimation is important because the other information provided by the Slide Rule is directly proportional to the number of fissions. The previous models, based on Hansen and Barbry formulae, will be presented with their associated assumptions and limitations. Then, new proposals will be presented with a comparison to past criticality accidents and experimental data. The new formulae, based on the heat energy equation, cover many types of criticality accidents (solution, dry or low-moderated powder, rods/assemblies in water and dry metal) and require limited information in an emergency situation.

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Duluc M, Herth J, Adatte T, Heinrichs D, Kim S, Bowen D et al. Update of the Nuclear Criticality Slide Rule: Review of the estimation of the number of fissions. In Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting. American Nuclear Society. 2022. p. 446-455. (Proceedings of the Nuclear Criticality Safety Division Topical Meeting, NCSD 2022 - Embedded with the 2022 ANS Annual Meeting). doi: 10.13182/T126-37440

Update of the Nuclear Criticality Slide Rule: Review of the estimation of the number of fissions

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