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Application of Polynomial Chaos Expansion In Inverse Transport Problems with Neutron Multiplication Measurements and Multiple Unknowns

by Keith C Bledsoe, Matthew A Jessee, Justin R Knowles
Publication Type
Conference Paper
Journal Name
Topical Meeting of the Radiation Protection and Shielding Division of the American Nuclear Society (ANS RPSD)
Publication Date
Page Numbers
1 to 5
Conference Name
Conference Location
Santa Fe, New Mexico, United States of America
Conference Sponsor
American Nuclear Society
Conference Date

The polynomial chaos expansion (PCE) 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) 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 PCE approach is shown to increase the speed of DREAM by factors of greater than 80 while not degrading the accuracy of the solution.