Geohydrological Application of a Nonlinear Physically Based Time Series Model
conference paper
This paper presents a physically based time series model that relates groundwater level fluctuations to precipitation and evapotranspiration. The model is based on the nonlinear relation between the degree of water saturation of the subsoil and the groundwater recharge. The model is written in state-space form, while the extended Kalman filter is used to estimate the state equation. An example application shows that the model performs very well and that the addition of physical knowledge is a valuable extension to standard linear transfer function-noise models. © 2003 International Federation of Automatic Control.
Topics
Extended Kalman filtersNonlinear systemsPhysical modelsState-space modelsTime series analysisTransfer functionsEquations of stateExtended Kalman filtersMaximum likelihood estimationNonlinear systemsRecharging (underground waters)SoilsState space methodsTransfer functionsGround water rechargeGroundwater level fluctuationLinear transfer functionMaximum likelihood estimatorNonlinear relationsPhysical modelState - space modelsTime series modelingTime series analysis
TNO Identifier
953698
ISSN
14746670
Publisher
IFAC Secretariat
Source title
IFAC Proceedings Volumes (IFAC-PapersOnline), 13th IFAC Symposium on System Identification, SYSID 2003, 27 August 2003 through 29 August 2003
Pages
1933-1938
Files
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