# Advancing Inverse Sensitivity/Uncertainty Methods for Nuclear Fuel Cycle Applications

## Abstract

The inverse sensitivity/uncertainty quantification (IS/UQ) method has recently been implemented in the Inverse Sensitivity/UnceRtainty Estimiator (INSURE) module of the AMPX system [1]. The IS/UQ method aims to quantify and prioritize the cross section measurements along with uncertainties needed to yield a given nuclear application(s) target response uncertainty, and doing this at a minimum cost. Since in some cases the extant uncertainties of the differential cross section data are already near the limits of the present-day state-of-the-art measurements, requiring significantly smaller uncertainties may be unrealistic. Therefore we have incorporated integral benchmark experiments (IBEs) data into the IS/UQ method using the generalized linear least-squares method, and have implemented it in the INSURE module. We show how the IS/UQ method could be applied to systematic and statistical uncertainties in a self-consistent way. We show how the IS/UQ method could be used to optimize uncertainties of IBEs and differential cross section data simultaneously.

- Authors:

- ORNL
- North Carolina State University

- Publication Date:

- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)

- OSTI Identifier:
- 1185490

- DOE Contract Number:
- DE-AC05-00OR22725

- Resource Type:
- Conference

- Resource Relation:
- Conference: International Workshop on Nuclear Data Covariances (CW 2014), Santa Fe, NM, USA, 20140428, 20140501

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICS AND COMPUTING; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

### Citation Formats

```
Arbanas, Goran, Williams, Mark L, Leal, Luiz C, Dunn, Michael E, Khuwaileh, Bassam A., Wang, C, and Abdel-Khalik, Hany.
```*Advancing Inverse Sensitivity/Uncertainty Methods for Nuclear Fuel Cycle Applications*. United States: N. p., 2015.
Web.

```
Arbanas, Goran, Williams, Mark L, Leal, Luiz C, Dunn, Michael E, Khuwaileh, Bassam A., Wang, C, & Abdel-Khalik, Hany.
```*Advancing Inverse Sensitivity/Uncertainty Methods for Nuclear Fuel Cycle Applications*. United States.

```
Arbanas, Goran, Williams, Mark L, Leal, Luiz C, Dunn, Michael E, Khuwaileh, Bassam A., Wang, C, and Abdel-Khalik, Hany. Thu .
"Advancing Inverse Sensitivity/Uncertainty Methods for Nuclear Fuel Cycle Applications". United States.
doi:. https://www.osti.gov/servlets/purl/1185490.
```

```
@article{osti_1185490,
```

title = {Advancing Inverse Sensitivity/Uncertainty Methods for Nuclear Fuel Cycle Applications},

author = {Arbanas, Goran and Williams, Mark L and Leal, Luiz C and Dunn, Michael E and Khuwaileh, Bassam A. and Wang, C and Abdel-Khalik, Hany},

abstractNote = {The inverse sensitivity/uncertainty quantification (IS/UQ) method has recently been implemented in the Inverse Sensitivity/UnceRtainty Estimiator (INSURE) module of the AMPX system [1]. The IS/UQ method aims to quantify and prioritize the cross section measurements along with uncertainties needed to yield a given nuclear application(s) target response uncertainty, and doing this at a minimum cost. Since in some cases the extant uncertainties of the differential cross section data are already near the limits of the present-day state-of-the-art measurements, requiring significantly smaller uncertainties may be unrealistic. Therefore we have incorporated integral benchmark experiments (IBEs) data into the IS/UQ method using the generalized linear least-squares method, and have implemented it in the INSURE module. We show how the IS/UQ method could be applied to systematic and statistical uncertainties in a self-consistent way. We show how the IS/UQ method could be used to optimize uncertainties of IBEs and differential cross section data simultaneously.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Thu Jan 01 00:00:00 EST 2015},

month = {Thu Jan 01 00:00:00 EST 2015}

}