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AGU: Water Resources Research

 

Keywords

  • data assimilation
  • ensemble Kalman filter
  • coupled model

Index Terms

  • Hydrology: Uncertainty assessment
  • Hydrology: Groundwater/surface water interaction
  • Hydrology: Modeling
  • Hydrology: Catchment

Abstract

WATER RESOURCES RESEARCH, VOL. 45, W10421, 14 PP., 2009
doi:10.1029/2008WR007031

Ensemble Kalman filter data assimilation for a process-based catchment scale model of surface and subsurface flow

Matteo Camporese

Dipartimento di Ingegneria Idraulica, Marittima, Ambientale e Geotecnica, Università degli Studi di Padova, Padova, Italy

Claudio Paniconi

Institut National de la Recherche Scientifique, Centre Eau, Terre et Environnement, Université du Québec, Quebec, Quebec, Canada

Mario Putti

Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università degli Studi di Padova, Padova, Italy

Paolo Salandin

Dipartimento di Ingegneria Idraulica, Marittima, Ambientale e Geotecnica, Università degli Studi di Padova, Padova, Italy

A sequential data assimilation procedure based on the ensemble Kalman filter (EnKF) is introduced and tested for a process-based numerical model of coupled surface and subsurface flow. The model is based on the three-dimensional Richards equation for variably saturated porous media and a diffusion wave approximation for overland and channel flow. A one-dimensional soil column experiment and a three-dimensional tilted v-catchment test case are presented. A preliminary analysis of the assimilation scheme is undertaken for the one-dimensional test case in order to validate the implementation by comparison with published results and to assess the influence of various factors on the filter's performance. The numerical results suggest robustness with respect to the ensemble size and provide useful information for the more complex tilted v-catchment test case. The assimilation frequency and the effects induced by data assimilation on the surface and/or subsurface system states are then evaluated for the v-catchment experiment using synthetic observations of pressure head and streamflow. The results suggest that streamflow prediction can be improved by assimilation of pressure head and streamflow, either individually or in tandem, whereas assimilation of streamflow data alone does not improve the subsurface system state. In terms of the global system state, i.e., surface and subsurface variables, frequent updates are especially beneficial when assimilating both pressure head and streamflow. Furthermore, it is shown that better evaluation of the subsurface volume resulting from assimilation of head data is crucial for improving subsequent surface response.

Received 27 March 2008; accepted 27 July 2009; published 15 October 2009.

Citation: Camporese, M., C. Paniconi, M. Putti, and P. Salandin (2009), Ensemble Kalman filter data assimilation for a process-based catchment scale model of surface and subsurface flow, Water Resour. Res., 45, W10421, doi:10.1029/2008WR007031.

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