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

Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada
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Mathematics 2020, 8(1), 134; https://doi.org/10.3390/math8010134
Received: 13 December 2019 / Revised: 12 January 2020 / Accepted: 12 January 2020 / Published: 16 January 2020
(This article belongs to the Special Issue Mathematics and Engineering)
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 state estimation; parameter estimation; moving horizon estimation; extended kalman filter; ensemble kalman filter; richards equation; agro-hydrological systems
MDPI and ACS Style

Bo, S.; Sahoo, S.R.; Yin, X.; Liu, J.; Shah, S.L. Parameter and State Estimation of One-Dimensional Infiltration Processes: A Simultaneous Approach. Mathematics 2020, 8, 134.

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