Journal
ADVANCES IN WATER RESOURCES
Volume 34, Issue 12, Pages 1519-1526Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.advwatres.2011.09.007
Keywords
Proper Orthogonal Decomposition; Optimization; Parameter estimation; Inverse problem; Saturated groundwater flow
Categories
Funding
- Army Research Office [W911NF-06-1-0412]
- US Army Corps of Engineers [W912HZ-10-P-0221, W912HZ-10-P-0256]
- National Science Foundation [CDI-0941253]
- Directorate For Geosciences
- Division Of Earth Sciences [0941253] Funding Source: National Science Foundation
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We develop a new Proper Orthogonal Decomposition (POD) reduced order model for saturated groundwater flow, and apply that model to an inverse problem for the hydraulic conductivity field. We use sensitivities as the POD basis. We compare the output when the optimizer uses the reduced order model against results obtained with a full PDE based model. The solutions generated using the POD reduced model are comparable in residual norm to the solutions formed using only the full-scale model. The material parameters are similarly comparable. The time to solution when using the reduced model is reduced by at least an order of magnitude, as are the number of calls to the full model. Published by Elsevier Ltd.
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