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Parameter Estimation in Groundwater Models Using Proper Orthogonal Decomposition
| Content Provider | Semantic Scholar |
|---|---|
| Author | Winton, C. |
| Copyright Year | 2012 |
| Abstract | WINTON, COREY W. Parameter Estimation in Groundwater Models Using Proper Orthogonal Decomposition. (Under the direction of Dr. Carl T. Kelley.) 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 reduced order model results to results obtained with a full finite element 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 cut in half and the number of calls to the full model are reduced by at least an order of magnitude. The following thesis will give an overview of groundwater modeling, construction and usage of POD, and demonstrate the results of our implementation. We also examine how the inexactness of a reduced order model affects the convergence of the Levenberg-Marquardt optimizer. Parameter Estimation in Groundwater Models Using Proper Orthogonal Decomposition |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://repository.lib.ncsu.edu/ir/bitstream/1840.16/8000/1/etd.pdf |
| Alternate Webpage(s) | http://www4.ncsu.edu/eos/users/c/ctkelley/www/POD/Winton_Thesis_Final.pdf |
| Alternate Webpage(s) | https://repository.lib.ncsu.edu/bitstream/handle/1840.16/8000/etd.pdf?isAllowed=y&sequence=2 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
