Parameter and State Estimation of One-Dimensional Infiltration Processes: A Simultaneous Approach

Song Bo, Soumya R. Sahoo, Xunyuan Yin, Jinfeng Liu and Sirish L. Shah
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Song Bo: Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada
Soumya R. Sahoo: Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada
Xunyuan Yin: Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada
Jinfeng Liu: Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada
Sirish L. Shah: Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada

Mathematics, 2020, vol. 8, issue 1, 1-22

Abstract: The Richards equation plays an important role in the study of agro-hydrological systems. It models the water movement in soil in the vadose zone, which is driven by capillary and gravitational forces. Its states (capillary potential) and parameters (hydraulic conductivity, saturated and residual soil moistures and van Genuchten-Mualem parameters) are essential for the accuracy of mathematical modeling, yet difficult to obtain experimentally. In this work, an estimation approach is developed to estimate the parameters and states of Richards equation simultaneously. In the proposed approach, parameter identifiability and sensitivity analysis are used to determine the most important parameters for estimation purpose. Three common estimation schemes (extended Kalman filter, ensemble Kalman filter and moving horizon estimation) are investigated. The estimation performance is compared and analyzed based on extensive simulations.

Keywords: state estimation; parameter estimation; moving horizon estimation; extended kalman filter; ensemble kalman filter; richards equation; agro-hydrological systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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