Parameter and State Estimation of One-Dimensional Infiltration Processes: A Simultaneous Approach
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 soi...
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| Format: | Article |
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MDPI AG
2020-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/1/134 |
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| author | Song Bo Soumya R. Sahoo Xunyuan Yin Jinfeng Liu Sirish L. Shah |
| author_facet | Song Bo Soumya R. Sahoo Xunyuan Yin Jinfeng Liu Sirish L. Shah |
| author_sort | Song Bo |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T00:00:13Z |
| format | Article |
| id | doaj.art-2297c3aa790f4697972c085ae54e1ce1 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-04-12T00:00:13Z |
| publishDate | 2020-01-01 |
| publisher | MDPI AG |
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| series | Mathematics |
| spelling | doaj.art-2297c3aa790f4697972c085ae54e1ce12022-12-22T03:56:14ZengMDPI AGMathematics2227-73902020-01-018113410.3390/math8010134math8010134Parameter and State Estimation of One-Dimensional Infiltration Processes: A Simultaneous ApproachSong Bo0Soumya R. Sahoo1Xunyuan Yin2Jinfeng Liu3Sirish L. Shah4Department of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, CanadaDepartment of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, CanadaDepartment of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, CanadaDepartment of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, CanadaDepartment of Chemical & Materials Engineering, University of Alberta, Edmonton, AB T6G 1H9, CanadaThe 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.https://www.mdpi.com/2227-7390/8/1/134state estimationparameter estimationmoving horizon estimationextended kalman filterensemble kalman filterrichards equationagro-hydrological systems |
| spellingShingle | Song Bo Soumya R. Sahoo Xunyuan Yin Jinfeng Liu Sirish L. Shah Parameter and State Estimation of One-Dimensional Infiltration Processes: A Simultaneous Approach Mathematics state estimation parameter estimation moving horizon estimation extended kalman filter ensemble kalman filter richards equation agro-hydrological systems |
| title | Parameter and State Estimation of One-Dimensional Infiltration Processes: A Simultaneous Approach |
| title_full | Parameter and State Estimation of One-Dimensional Infiltration Processes: A Simultaneous Approach |
| title_fullStr | Parameter and State Estimation of One-Dimensional Infiltration Processes: A Simultaneous Approach |
| title_full_unstemmed | Parameter and State Estimation of One-Dimensional Infiltration Processes: A Simultaneous Approach |
| title_short | Parameter and State Estimation of One-Dimensional Infiltration Processes: A Simultaneous Approach |
| title_sort | parameter and state estimation of one dimensional infiltration processes a simultaneous approach |
| topic | state estimation parameter estimation moving horizon estimation extended kalman filter ensemble kalman filter richards equation agro-hydrological systems |
| url | https://www.mdpi.com/2227-7390/8/1/134 |
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