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Optimal control of groundwater by the feedback method of control
Author(s) -
MakindeOdusola Babs A.,
Mariño Miguel A.
Publication year - 1989
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/wr025i006p01341
Subject(s) - aquifer , groundwater , hydraulic head , optimal control , control theory (sociology) , groundwater model , environmental science , control (management) , mathematical optimization , computer science , mathematics , geology , geotechnical engineering , groundwater flow , artificial intelligence
This paper employs the feedback method of optimal control to solve groundwater hydraulic management problems such as maintaining a target piezometric surface within a confined aquifer. The feedback model for groundwater hydraulic management consists of a modified version of the groundwater model SUTRA coupled to a dynamic programming optimization model. A quadratic criterion representing a weighted sum of squared deviations from a target piezometric surface was chosen as the objective function. Under this criterion, a set of feedback rules for predicting optimal pumping strategies for the next time period based on current piezometric head values are a by‐product of the solution. The computed feedback rule coefficients are used to derive the optimal pumping strategy for the groundwater hydraulic management problem. The feedback model is shown to be an inverse groundwater simulation model in that piezometric heads are used to determine the optimal pumping rate.