Characterizing Curvilinear Features Using The Localized Normal-Score Ensemble Kalman Filter

Zhou, Haiyan
Li, Liangping
Gomez-Hernandez, J. Jaime
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The localized normal-score ensemble Kalman filter is shown to work for the characterization of non-multi-Gaussian distributed hydraulic conductivities by assimilating state observation data. The influence of type of flow regime, number of observation piezometers, and the prior model structure are evaluated in a synthetic aquifer. Steady-state observation data are not sufficient to identify the conductivity channels. Transient-state data are necessary for a good characterization of the hydraulic conductivity curvilinear patterns. Such characterization is very good with a dense network of observation data, and it deteriorates as the number of observation piezometers decreases. It is also remarkable that, even when the prior model structure is wrong, the localized normal-score ensemble Kalman filter can produce acceptable results for a sufficiently dense observation network.

Haiyan Zhou, Liangping Li, and J. Jaime Gómez-Hernández, “Characterizing Curvilinear Features Using the Localized Normal-Score Ensemble Kalman Filter,” Abstract and Applied Analysis, vol. 2012, Article ID 805707, 18 pages, 2012. doi:10.1155/2012/805707