Application of polynomial chaos expansion in inverse transport problems with neutron multiplication measurements and multiple unknowns

Keith C. Bledsoe; Matthew A. Jessee; Justin Knowles

Application of polynomial chaos expansion in inverse transport problems with neutron multiplication measurements and multiple unknowns

Keith C. Bledsoe, Matthew A. Jessee, Justin Knowles

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

Abstract

The polynomial chaos expansion technique is used to build surrogate models of the dependences of gamma-ray fluxes and neutron multiplication to unknown physical parameters in radiological source/shield systems. These surrogate models are used with the DiffeRential Evolution Adaptive Metropolis (DREAM), a method to solve and quantify uncertainty in inverse transport problems. Measured data in the inverse problems includes both passive gamma rays and neutron multiplication. The polynomial chaos expansion approach is shown to increase the speed of DREAM by factors of greater than 60 while not degrading the accuracy of the solution.

Original language	English
Title of host publication	20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018
Publisher	American Nuclear Society
ISBN (Electronic)	9780894487460
State	Published - 2018
Event	20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018 - Santa Fe, United States Duration: Aug 26 2018 → Aug 31 2018

Publication series

Name	20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018

Conference

Conference	20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018
Country/Territory	United States
City	Santa Fe
Period	08/26/18 → 08/31/18

Funding

Notice: This manuscript has been authored by UT-Battelle, LLC, under contract DE-AC05-00OR22725 with the US Department of Energy (DOE). The US government retains and the publisher, by accepting the article for publication, acknowledges that the US government retains a nonexclusive, paid-up, irrevocable, worldwide license to publish or reproduce the published form of this manuscript, or allow others to do so, for US government purposes. DOE will provide public access to these results of federally sponsored research in accordance with the DOE Public Access Plan (http://energy.gov/downloads/doe-public-access-plan).

Funders	Funder number
US Department of Energy
U.S. Department of Energy

Cite this

Bledsoe, K. C., Jessee, M. A., & Knowles, J. (2018). Application of polynomial chaos expansion in inverse transport problems with neutron multiplication measurements and multiple unknowns. In 20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018 (20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018). American Nuclear Society.

Bledsoe, Keith C. ; Jessee, Matthew A. ; Knowles, Justin. / Application of polynomial chaos expansion in inverse transport problems with neutron multiplication measurements and multiple unknowns. 20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018. American Nuclear Society, 2018. (20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018).

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title = "Application of polynomial chaos expansion in inverse transport problems with neutron multiplication measurements and multiple unknowns",

abstract = "The polynomial chaos expansion technique is used to build surrogate models of the dependences of gamma-ray fluxes and neutron multiplication to unknown physical parameters in radiological source/shield systems. These surrogate models are used with the DiffeRential Evolution Adaptive Metropolis (DREAM), a method to solve and quantify uncertainty in inverse transport problems. Measured data in the inverse problems includes both passive gamma rays and neutron multiplication. The polynomial chaos expansion approach is shown to increase the speed of DREAM by factors of greater than 60 while not degrading the accuracy of the solution.",

author = "Bledsoe, {Keith C.} and Jessee, {Matthew A.} and Justin Knowles",

note = "Publisher Copyright: {\textcopyright} 2018 American Nuclear Society. All rights reserved.; 20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018 ; Conference date: 26-08-2018 Through 31-08-2018",

year = "2018",

language = "English",

series = "20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018",

publisher = "American Nuclear Society",

booktitle = "20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018",

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Bledsoe, KC , Jessee, MA & Knowles, J 2018, Application of polynomial chaos expansion in inverse transport problems with neutron multiplication measurements and multiple unknowns. in 20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018. 20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018, American Nuclear Society, 20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018, Santa Fe, United States, 08/26/18.

Application of polynomial chaos expansion in inverse transport problems with neutron multiplication measurements and multiple unknowns. / Bledsoe, Keith C.; Jessee, Matthew A.; Knowles, Justin.
20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018. American Nuclear Society, 2018. (20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018).

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

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AU - Bledsoe, Keith C.

AU - Jessee, Matthew A.

AU - Knowles, Justin

PY - 2018

Y1 - 2018

N2 - The polynomial chaos expansion technique is used to build surrogate models of the dependences of gamma-ray fluxes and neutron multiplication to unknown physical parameters in radiological source/shield systems. These surrogate models are used with the DiffeRential Evolution Adaptive Metropolis (DREAM), a method to solve and quantify uncertainty in inverse transport problems. Measured data in the inverse problems includes both passive gamma rays and neutron multiplication. The polynomial chaos expansion approach is shown to increase the speed of DREAM by factors of greater than 60 while not degrading the accuracy of the solution.

AB - The polynomial chaos expansion technique is used to build surrogate models of the dependences of gamma-ray fluxes and neutron multiplication to unknown physical parameters in radiological source/shield systems. These surrogate models are used with the DiffeRential Evolution Adaptive Metropolis (DREAM), a method to solve and quantify uncertainty in inverse transport problems. Measured data in the inverse problems includes both passive gamma rays and neutron multiplication. The polynomial chaos expansion approach is shown to increase the speed of DREAM by factors of greater than 60 while not degrading the accuracy of the solution.

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M3 - Conference contribution

AN - SCOPUS:85069642822

T3 - 20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018

BT - 20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018

PB - American Nuclear Society

T2 - 20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018

Y2 - 26 August 2018 through 31 August 2018

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Bledsoe KC , Jessee MA, Knowles J. Application of polynomial chaos expansion in inverse transport problems with neutron multiplication measurements and multiple unknowns. In 20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018. American Nuclear Society. 2018. (20th Topical Meeting of the Radiation Protection and Shielding Division, RPSD 2018).

Application of polynomial chaos expansion in inverse transport problems with neutron multiplication measurements and multiple unknowns

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