Relative assessment of constrained multiple objective optimization techniques for optimal pumping strategy design to mitigate saline water intrusion in coastal groundwater systems

Saltwater intrusion (SWI) degrades water quality in coastal groundwater systems. Over-abstraction from these aquifers accelerates SWI, necessitating practical measures to prevent it and enable sustainable extraction of groundwater resources. Simulation-optimization (S/O) methods have been widely ado...

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Published in:Desalination Vol. 606; p. 118773
Main Authors: Roy, Dilip Kumar, Datta, Bithin
Format: Journal Article
Language:English
Published: Elsevier B.V 01.07.2025
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ISSN:0011-9164
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Abstract Saltwater intrusion (SWI) degrades water quality in coastal groundwater systems. Over-abstraction from these aquifers accelerates SWI, necessitating practical measures to prevent it and enable sustainable extraction of groundwater resources. Simulation-optimization (S/O) methods have been widely adopted for developing optimized groundwater extraction strategies, with optimization algorithms playing a critical role. This study compared several constrained multi-objective optimization algorithms (CMOOAs) for designing pumping schemes to mitigate SWI in coastal aquifers. The evaluated algorithms included the Controlled Elitist Multi-Objective Genetic Algorithm (CEMOGA), Multi-Objective Feasibility Enhanced Particle Swarm Optimization (MOFEPSO), Multi-Objective Lichtenberg Algorithm (MOLA), and Multi-Objective Pareto Search (MOPS). A bi-objective SWI management model was developed using an S/O approach, with the FEMWATER code replaced by a surrogate model based on Multivariate Adaptive Regression Spline (MARS) to improve computational efficiency. The MARS model effectively captured aquifer processes, demonstrating strong correlation metrics (R = 0.986–0.999) and low error indicators (NRMSE = 0.001–0.019, MAE = 0.522–6.291 mg/l). This surrogate model was integrated with each CMOOA to design optimal pumping strategies that maximize beneficial abstraction while minimizing SWI. Multiple independent MARS-assisted optimization runs were conducted for a robust comparison of solution accuracy and convergence time. Results showed that MARS-CEMOGA outperformed other algorithms, delivering the highest solution quality and computational efficiency, requiring just 323.86 s compared to 388.12 s for MOPS, 999.18 s for MOFEPSO, and 2316.55 s for MOLA. The study demonstrates that MARS-CEMOGA is a highly efficient tool for developing SWI management models in coastal aquifers, although other CMOOAs also produced satisfactory results. •Saltwater intrusion (SWI) degrades coastal groundwater quality, necessitating proper management.•This study compares four constrained multi-objective optimization algorithms for SWI mitigation through pumping optimization.•A MARS-based surrogate was used to achieve computational efficiency in SWI management modeling.•MARS-CEMOGA outperformed other algorithms in terms of solution quality and computational time.•The study concludes that MARS-CEMOGA is a reliable strategy for sustainable SWI management.
AbstractList Saltwater intrusion (SWI) degrades water quality in coastal groundwater systems. Over-abstraction from these aquifers accelerates SWI, necessitating practical measures to prevent it and enable sustainable extraction of groundwater resources. Simulation-optimization (S/O) methods have been widely adopted for developing optimized groundwater extraction strategies, with optimization algorithms playing a critical role. This study compared several constrained multi-objective optimization algorithms (CMOOAs) for designing pumping schemes to mitigate SWI in coastal aquifers. The evaluated algorithms included the Controlled Elitist Multi-Objective Genetic Algorithm (CEMOGA), Multi-Objective Feasibility Enhanced Particle Swarm Optimization (MOFEPSO), Multi-Objective Lichtenberg Algorithm (MOLA), and Multi-Objective Pareto Search (MOPS). A bi-objective SWI management model was developed using an S/O approach, with the FEMWATER code replaced by a surrogate model based on Multivariate Adaptive Regression Spline (MARS) to improve computational efficiency. The MARS model effectively captured aquifer processes, demonstrating strong correlation metrics (R = 0.986–0.999) and low error indicators (NRMSE = 0.001–0.019, MAE = 0.522–6.291 mg/l). This surrogate model was integrated with each CMOOA to design optimal pumping strategies that maximize beneficial abstraction while minimizing SWI. Multiple independent MARS-assisted optimization runs were conducted for a robust comparison of solution accuracy and convergence time. Results showed that MARS-CEMOGA outperformed other algorithms, delivering the highest solution quality and computational efficiency, requiring just 323.86 s compared to 388.12 s for MOPS, 999.18 s for MOFEPSO, and 2316.55 s for MOLA. The study demonstrates that MARS-CEMOGA is a highly efficient tool for developing SWI management models in coastal aquifers, although other CMOOAs also produced satisfactory results. •Saltwater intrusion (SWI) degrades coastal groundwater quality, necessitating proper management.•This study compares four constrained multi-objective optimization algorithms for SWI mitigation through pumping optimization.•A MARS-based surrogate was used to achieve computational efficiency in SWI management modeling.•MARS-CEMOGA outperformed other algorithms in terms of solution quality and computational time.•The study concludes that MARS-CEMOGA is a reliable strategy for sustainable SWI management.
ArticleNumber 118773
Author Datta, Bithin
Roy, Dilip Kumar
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  givenname: Dilip Kumar
  surname: Roy
  fullname: Roy, Dilip Kumar
  email: dilip.roy@my.jcu.edu.au
  organization: Irrigation and Water Management Division, Bangladesh Agricultural Research Institute, Gazipur 1701, Bangladesh
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  givenname: Bithin
  surname: Datta
  fullname: Datta, Bithin
  organization: College of Science and Engineering, James Cook University, 1 James Cook Dr, Douglas QLD 4814, Australia
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Keywords Multi-objective constrained optimization
Surrogate model
Coastal aquifer
Saltwater intrusion
Coupled simulation-optimization
Language English
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Snippet Saltwater intrusion (SWI) degrades water quality in coastal groundwater systems. Over-abstraction from these aquifers accelerates SWI, necessitating practical...
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StartPage 118773
SubjectTerms Coastal aquifer
Coupled simulation-optimization
Multi-objective constrained optimization
Saltwater intrusion
Surrogate model
Title Relative assessment of constrained multiple objective optimization techniques for optimal pumping strategy design to mitigate saline water intrusion in coastal groundwater systems
URI https://dx.doi.org/10.1016/j.desal.2025.118773
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