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A Comparison of Four Inverse Approaches to Groundwater Flow and Transport Parameter Identification
Author(s) -
Keidser Allan,
Rosbjerg Dan
Publication year - 1991
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 - 10.1029/91wr00990
Subject(s) - inverse , flow (mathematics) , stage (stratigraphy) , estimation theory , inverse problem , mathematics , hydraulic head , groundwater flow , groundwater , statistics , mathematical optimization , soil science , mathematical analysis , aquifer , environmental science , geology , geotechnical engineering , geometry , paleontology
Four different methods of parameterizing spatially varying log transmissivities in an inverse approach are compared with respect to prediction accuracy of simulated flow and transport. Transport parameter estimation is included by two‐stage feedback optimization. In stage one the log transmissivities are estimated by fitting both head and concentration data, given initial values of the source concentration and the dispersivities. In stage two, the source concentration and the dispersivities are estimated by fitting the concentration data. With the updated transport parameters, final estimates of the log transmissivities are obtained by repeating the optimization of stage one. The formulated objective functions are minimized using Levenberg‐Marquardt's algorithm. The models are applied to synthetic two‐dimensional transport problems in steady state flow regimes. The “true” log transmissivity fields are generated by the turning bands method, thereby incorporating spatial variability. The test cases differ in the input variances of the generated fields and with respect to the amount and accuracy of “observed” transmissivity data.