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Effects of model resolution on optimal design of subsurface flow and transport problems

Farthing, M. W. and Fowler, K. R. and Fu, X. and Davis, A. and Miller, C. T. (2012) Effects of model resolution on optimal design of subsurface flow and transport problems. Advances in Water Resources, 38 . pp. 27-37. ISSN 0309-1708.

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Mathematical modeling of water resources problems is regularly undertaken to aid the management or design of a system. These optimal design problems can require a large number of model simulations with different sets of design variables. In an effort to reduce the computational expense of such design problems, various sources of error are typically introduced into the numerical model simulations, often without explicit consideration of subsequent effects on solution quality. We investigate several sources of such errors, including model formulation, grid resolution, and solver error for a set of community test problems, which have received attention in the literature as a vehicle to evaluate and evolve optimization methods. Results show that common shortcuts used to reduce computational effort can lead to inaccurate solutions that differ quantitatively and qualitatively from optimal solutions found using highly resolved methods. In addition to highlighting what we believe is a common issue, we present improved solutions to the problems considered, identify alternative model and optimization formulations that give equivalent accuracy with reduced computational effort, and provide guidance for improving generally the reliability of optimal design solutions to water resources problems.

Item Type:Article
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Fu, X.0000-0001-7120-704X
Additional Information:© 2012 Published by Elsevier B.V. Received 1 July 2011, Revised 9 December 2011, Accepted 9 December 2011, Available online 16 December 2011.
Subject Keywords:Well model; Genetic algorithm; Model error; Community problems
Record Number:CaltechAUTHORS:20200903-110138513
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Official Citation:M.W. Farthing, K.R. Fowler, X. Fu, A. Davis, C.T. Miller, Effects of model resolution on optimal design of subsurface flow and transport problems, Advances in Water Resources, Volume 38, 2012, Pages 27-37, ISSN 0309-1708, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105239
Deposited By: Tony Diaz
Deposited On:08 Sep 2020 18:30
Last Modified:08 Sep 2020 18:30

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