期刊
ADVANCES IN WATER RESOURCES
卷 34, 期 12, 页码 1519-1526出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.advwatres.2011.09.007
关键词
Proper Orthogonal Decomposition; Optimization; Parameter estimation; Inverse problem; Saturated groundwater flow
资金
- 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
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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