Evaluating the effect of Tikhonov regularization schemes on predictions in a variable-density groundwater model
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Abstract
Calibration of highly‐parameterized numerical models typically requires explicit Tikhonovtype regularization to stabilize the inversion process. This regularization can take the form of a preferred parameter values scheme or preferred relations between parameters, such as the preferred equality scheme. The resulting parameter distributions calibrate the model to a user‐defined acceptable level of model‐to‐measurement misfit, and also minimize regularization penalties on the total objective function. To evaluate the potential impact of these two regularization schemes on model predictive ability, a dataset generated from a synthetic model was used to calibrate a highly-parameterized variable‐density SEAWAT model. The key prediction is the length of time a synthetic pumping well will produce potable water. A bi‐objective Pareto analysis was used to explicitly characterize the relation between two competing objective function components: measurement error and regularization error. Results of the Pareto analysis indicate that both types of regularization schemes affect the predictive ability of the calibrated model.
Suggested Citation
White, J., Langevin, C.D., Hughes, J.D., 2010, Evaluating the effect of Tikhonov regularization schemes on predictions in a variable-density groundwater model, in SWIM21 – 21st Salt Water Intrusion Meeting Proceedings Book, Azores, Portugal, June 21-26, 2010, p. 344-348.
| Publication type | Conference Paper |
|---|---|
| Publication Subtype | Conference Paper |
| Title | Evaluating the effect of Tikhonov regularization schemes on predictions in a variable-density groundwater model |
| Year Published | 2010 |
| Language | English |
| Publisher | Wechselnde Verlagsorte |
| Contributing office(s) | Florida Water Science Center-Ft. Lauderdale |
| Description | 5 p. |
| Larger Work Type | Book |
| Larger Work Subtype | Conference publication |
| Larger Work Title | SWIM21 – 21st Salt Water Intrusion Meeting Proceedings Book |
| First page | 344 |
| Last page | 348 |
| Conference Title | 21st Salt Water Intrusion Meeting (SWIM21 – AZORES 2010) |
| Conference Location | Azores, Portugal |
| Conference Date | June 21-26, 2010 |
| Online Only (Y/N) | N |
| Additional Online Files (Y/N) | N |