Optimal Control Model for Groundwater Management

Can we manage groundwater? A method to determine the quantitative testability of groundwater management plans

“…Considerable effort has been put into using numerical models to evaluate technical aspects of groundwater management. For example, numerical models have been used to predict impacts of groundwater extraction upon aquifers [Ebraheem et al, 2002;Gorelick, 1983], optimize extraction rates [Bear and Levin, 1967;Casola et al, 1986;Makinde-Odusola and Mariño, 1989;McPhee and Yeh, 2004;Singh, 2012Singh, , 2014Tankersley and Graham, 1994;Wagner, 1995], adjust control based on actual system response [Jones, 1992], manage seawater intrusion [Reichard and Johnson, 2005;Rejani et al, 2008], and investigate implications of economic considerations [Booker et al, 2012;Bredehoeft and Young, 1970;Bromley, 1991;Gisser and S anchez, 1980;Koundouri, 2004;Mulligan et al, 2014] [Gallagher, 2015a;Queensland Government, 2002]. While these exciting studies hold great potential to investigate the intricacies of management, they did not separate the effectiveness of the plan from the state of the aquifer and because they were single site studies; nor did they elicit general attributes of a groundwater management plan that lead it to be testable.…”

“…Considerable effort has been put into using numerical models to evaluate technical aspects of groundwater management. For example, numerical models have been used to predict impacts of groundwater extraction upon aquifers [ Ebraheem et al ., ; Gorelick , ], optimize extraction rates [ Bear and Levin , ; Casola et al ., ; Makinde‐Odusola and Mariño , ; McPhee and Yeh , ; Singh , ; Tankersley and Graham , ; Wagner , ], adjust control based on actual system response [ Jones , ], manage seawater intrusion [ Reichard and Johnson , ; Rejani et al ., ], and investigate implications of economic considerations [ Booker et al ., ; Bredehoeft and Young , ; Bromley , ; Gisser and Sánchez , ; Koundouri , 2004; Mulligan et al ., ], among others. These studies do not, however, investigate if sequential management decisions result in successful resource management or assess the effectiveness of the plan separate from the state of the aquifer.…”

Managing the environmental problem of seawater intrusion in coastal aquifers through simulation–optimization modeling

“…But the salt intrusion in coastal aquifers is a highly nonlinear process which requires an NLP approach for its appropriate solution (Gorelick et al, 1979;Casola et al, 1986). The nonlinearities in the aquifer management problems may arise due to nonlinear physical and managerial objective functions and constraints.…”

An overview of the optimization modelling applications

“…Integrated management of groundwater pollution and withdrawal by using NLP models with embedded simulation constraints was presented by Keshari and Datta (1996). The management problem for optimal spatial and temporal groundwater allocation for agricultural use was solved by Casola et al (1986). The management model was formulated as a quadratic optimal control problem.…”