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Title: Benchmarking a new closed-form thermal analysis technique against a traditional lumped parameter, finite-difference method

Abstract

A benchmarking effort was conducted to determine the accuracy of a new analytic generic geology thermal repository model developed at LLNL relative to a more traditional, numerical, lumped parameter technique. The fast-running analytical thermal transport model assumes uniform thermal properties throughout a homogenous storage medium. Arrays of time-dependent heat sources are included geometrically as arrays of line segments and points. The solver uses a source-based linear superposition of closed form analytical functions from each contributing point or line to arrive at an estimate of the thermal evolution of a generic geologic repository. Temperature rise throughout the storage medium is computed as a linear superposition of temperature rises. It is modeled using the MathCAD mathematical engine and is parameterized to allow myriad gridded repository geometries and geologic characteristics [4]. It was anticipated that the accuracy and utility of the temperature field calculated with the LLNL analytical model would provide an accurate 'birds-eye' view in regions that are many tunnel radii away from actual storage units; i.e., at distances where tunnels and individual storage units could realistically be approximated as physical lines or points. However, geometrically explicit storage units, waste packages, tunnel walls and close-in rock are not included in the MathCADmore » model. The present benchmarking effort therefore focuses on the ability of the analytical model to accurately represent the close-in temperature field. Specifically, close-in temperatures computed with the LLNL MathCAD model were benchmarked against temperatures computed using geometrically-explicit lumped-parameter, repository thermal modeling technique developed over several years at ANL using the SINDAG thermal modeling code [5]. Application of this numerical modeling technique to underground storage of heat generating nuclear waste streams within the proposed YMR Site has been widely reported [6]. New SINDAG thermal models presented here share this same basic modeling approach.« less

Authors:
;  [1]
  1. Nuclear Engineering Division
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
NE OFFICE OF FUEL CYCLE RESEARCH AND DEVELOPMENT
OSTI Identifier:
1049041
Report Number(s):
FCRD-UFD-2012-000142
TRN: US1204389
DOE Contract Number:  
DE-AC02-06CH11357
Resource Type:
Technical Report
Country of Publication:
United States
Language:
ENGLISH
Subject:
12 MANAGEMENT OF RADIOACTIVE WASTES, AND NON-RADIOACTIVE WASTES FROM NUCLEAR FACILITIES; ACCURACY; ANL; ENGINES; GEOLOGY; HEAT SOURCES; LAWRENCE LIVERMORE NATIONAL LABORATORY; RADIOACTIVE WASTES; SIMULATION; STORAGE; THERMAL ANALYSIS; THERMODYNAMIC PROPERTIES; TRANSPORT; UNDERGROUND STORAGE; WASTES

Citation Formats

Huff, K D, and Bauer, T H. Benchmarking a new closed-form thermal analysis technique against a traditional lumped parameter, finite-difference method. United States: N. p., 2012. Web. doi:10.2172/1049041.
Huff, K D, & Bauer, T H. Benchmarking a new closed-form thermal analysis technique against a traditional lumped parameter, finite-difference method. United States. https://doi.org/10.2172/1049041
Huff, K D, and Bauer, T H. 2012. "Benchmarking a new closed-form thermal analysis technique against a traditional lumped parameter, finite-difference method". United States. https://doi.org/10.2172/1049041. https://www.osti.gov/servlets/purl/1049041.
@article{osti_1049041,
title = {Benchmarking a new closed-form thermal analysis technique against a traditional lumped parameter, finite-difference method},
author = {Huff, K D and Bauer, T H},
abstractNote = {A benchmarking effort was conducted to determine the accuracy of a new analytic generic geology thermal repository model developed at LLNL relative to a more traditional, numerical, lumped parameter technique. The fast-running analytical thermal transport model assumes uniform thermal properties throughout a homogenous storage medium. Arrays of time-dependent heat sources are included geometrically as arrays of line segments and points. The solver uses a source-based linear superposition of closed form analytical functions from each contributing point or line to arrive at an estimate of the thermal evolution of a generic geologic repository. Temperature rise throughout the storage medium is computed as a linear superposition of temperature rises. It is modeled using the MathCAD mathematical engine and is parameterized to allow myriad gridded repository geometries and geologic characteristics [4]. It was anticipated that the accuracy and utility of the temperature field calculated with the LLNL analytical model would provide an accurate 'birds-eye' view in regions that are many tunnel radii away from actual storage units; i.e., at distances where tunnels and individual storage units could realistically be approximated as physical lines or points. However, geometrically explicit storage units, waste packages, tunnel walls and close-in rock are not included in the MathCAD model. The present benchmarking effort therefore focuses on the ability of the analytical model to accurately represent the close-in temperature field. Specifically, close-in temperatures computed with the LLNL MathCAD model were benchmarked against temperatures computed using geometrically-explicit lumped-parameter, repository thermal modeling technique developed over several years at ANL using the SINDAG thermal modeling code [5]. Application of this numerical modeling technique to underground storage of heat generating nuclear waste streams within the proposed YMR Site has been widely reported [6]. New SINDAG thermal models presented here share this same basic modeling approach.},
doi = {10.2172/1049041},
url = {https://www.osti.gov/biblio/1049041}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Aug 20 00:00:00 EDT 2012},
month = {Mon Aug 20 00:00:00 EDT 2012}
}