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

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DESALINATION 2025年 606卷

作者： Roy, Dilip Kumar Datta, Bithin Bangladesh Agr Res Inst Irrigat & Water Management Div Gazipur 1701 Bangladesh James Cook Univ Coll Sci & Engn 1 James Cook Dr Douglas Qld 4814 Australia

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 biobjective 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.

关键词： Coastal aquifer Saltwater intrusion coupled simulation-optimization Surrogate model Multi-objective constrained optimization

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A Review of Surrogate Models and Their Ensembles to Develop Saltwater Intrusion Management Strategies in Coastal Aquifers

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EARTH SYSTEMS AND ENVIRONMENT 2018年第2期2卷 193-211页

作者： Roy, Dilip Kumar Datta, Bithin James Cook Univ Coll Sci & Engn Discipline Civil Engn Townsville Qld 4811 Australia

The complex physical processes in a typical coastal aquifer system with transient inputs to numerical simulation models (NSM) result in substantial computational burden in a coupled simulation-optimization (S/O) approach. In such situations, an approximate emulator of the complex physical processes provides a computationally efficient alternative to the NSM. The reliability of these surrogate models (SM) within the coupled S/O approach depends on how accurately they capture the trend of the underlying physical processes. Moreover, these SMs are often associated with prediction uncertainties, which hinder optimality of the solution of the coupled S/O methodology. In this review article, we summarize ensemble approach of combining data-driven SMs to address this prediction uncertainty. Different techniques of ensemble formation as well as their relative advantages and disadvantages are also discussed. Although a wide range of data-driven SMs have been used to approximate associated physical processes of coastal aquifers, the use of ensemble SMs is quite limited. Moreover, these ensemble-based modelling approaches are based on manipulating the training data set, i.e., using different realizations of training data set to train individual SMs within the ensemble. Although ensemble formation by combining multiple SMs based on different algorithms can be found in other application domains, the application of ensemble SMs in the prediction of saltwater intrusion processes has not been developed yet. In addition, more advanced ensemble surrogate-modelling approaches are yet to be established in the context of developing regional scale saltwater intrusion management models.

关键词： Coastal aquifer Ensemble Surrogate model coupled simulation-optimization Saltwater intrusion Management model

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