Title
State-space modeling of water table fluctuations in switching regimes
Author
Berendrecht, W.L.
Heemink, A.W.
van Geer, F.C.
Gehrels, J.C.
Nederlands Instituut voor Toegepaste Geowetenschappen TNO
Publication year
2004
Abstract
A nonlinear state-space model is developed for describing water table fluctuations in groundwater systems that are influenced by drains. As drains are only active if the water table is above drainage level, the regime of the system switches at the drainage level. The water table depth is related to observations on precipitation and evapotranspiration, regional groundwater flow, and drainage flux. The drainage flux is a nonlinear function of water table depth in the sense that it switches from a constant (zero) flux if the water table is below drainage level, to a flux that is linearly related to the water table depth if the water table is above drainage level. The system noise is also nonlinearly related to the water table depth. The model is calibrated on a time series of water table depths using a maximum likelihood criterion. For this purpose, the model is processed through a truncated first-order filter. To increase filter performance, the strong nonlinear relation between water table depth and drainage flux is smoothed. The state-space model is tested at two locations. It is shown that the model performs well. Moreover, it is superior to commonly applied linear transfer function-noise models. The applications illustrate the applicability of the state-space model for estimation of the effect of interventions, characterization of the groundwater system, simulation, and prediction. © 2004 Elsevier B.V. All rights reserved.
Subject
Geosciences
Groundwater
Maximum likelihood estimation
State-space
Threshold nonlinearity
Transfer function
Truncated first-order filter
Computer simulation
Drainage
Evapotranspiration
Groundwater
Mathematical models
Precipitation (chemical)
Switching regimes
Water table
Hydrology
drainage water
groundwater
maximum likelihood analysis
numerical model
water table
To reference this document use:
http://resolver.tudelft.nl/uuid:330576a7-b656-4635-8cb6-89ac10574893
DOI
https://doi.org/10.1016/j.jhydrol.2004.01.001
TNO identifier
237844
ISSN
0022-1694
Source
Journal of Hydrology, 292 (1-4), 249-261
Document type
article