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Combined spatial and kalman filter estimation of optimal soil hydraulic properties
Author(s) -
Cahill Anthony T.,
Ungaro Fabrizio,
Parlange Marc B.,
Mata Michael,
Nielsen Donald R.
Publication year - 1999
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/1998wr900121
Subject(s) - hydraulic conductivity , kalman filter , standard deviation , covariance , noise (video) , mathematics , richards equation , covariance function , soil science , environmental science , statistics , computer science , soil water , artificial intelligence , image (mathematics)
A method for determining optimal parameters for a field‐scale hydraulic conductivity function is presented and tested on soil moisture and matric potential data measured at several locations in a field drainage experiment. The change in moisture content over time at the individual locations is modeled using Richards' equation, and an optimization for the hydraulic conductivity parameters is performed using a merit function derived from the Kalman filter, which allows consideration of measurement and process noise. The spatial correlation among the different measurement points is explicitly taken into account using the covariance between points in the calculation of the process noise covariance matrix. It is shown that the standard deviation of the effective hydraulic conductivity function estimated by the Kalman filter method applied to all measurements is significantly less than the standard deviations estimated by simple averaging of the parameters derived using other methods applied to the individual point moisture time series.