Abstract
Linked simulation-optimization (S/O) approaches have been extensively used as tools in coastal aquifer management. However, parameter uncertainties in seawater intrusion (SI) simulation models often undermine the reliability of the derived solutions. In this study, a stochastic S/O framework is presented and applied to a real-world case of the Longkou coastal aquifer in China. The three conflicting objectives of maximizing the total pumping rate, minimizing the total injection rate, and minimizing the solute mass increase are considered in the optimization model. The uncertain parameters are contained in both the constraints and the objective functions. A multiple realization approach is utilized to address the uncertainty in the model parameters, and a new multiobjective evolutionary algorithm (EN-NSGA2) is proposed to solve the optimization model. EN-NSGA2 overcomes some inherent limitations in the traditional nondominated sorting genetic algorithm-II (NSGA-II) by introducing information entropy theory. The comparison results indicate that EN-NSGA2 can effectively ameliorate the diversity in Pareto-optimal solutions. For the computational challenge in the stochastic S/O process, a surrogate model based on the multigene genetic programming (MGGP) method is developed to substitute for the numerical simulation model. The results show that the MGGP surrogate model can tremendously reduce the computational burden while ensuring an acceptable level of accuracy.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ataie-Ashtiani B, Ketabchi H, Rajabi MM (2014) Optimal management of a freshwater lens in a small island using surrogate models and evolutionary algorithms. J Hydrol Eng 19(2):339–354
Christelis V, Mantoglou A (2019) Pumping optimization of coastal aquifers using seawater intrusion models of variable-fidelity and evolutionary algorithms. Water Resour Manag 33(2):555–568
Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II evolutionary computation. IEEE T Evolut Comput 6(2):182–197
El-Ghandour HA, Elbeltagi E (2020) Pumping optimization of coastal aquifers using probabilistic search - case study: quaternary aquifer of El-Arish Rafah, Egypt. Hydrol Res 51(1):90–104
Fan Y, Lu WX, Miao TS, Li JH, Lin J (2020) Optimum design of a seawater intrusion monitoring scheme based on the image quality assessment method. Water Resour Manag 34(8):2485–2502
Goodarzi M, Abedi-Koupai J, Heidarpour M, Safavi HR (2016) Development of a new drought index for groundwater and its application in sustainable groundwater extraction. J Water Res Pl 142(9):04016032
Guo W, Langevin CD (2002) User’s guide to SEAWAT: a computer program for simulation of three-dimensional variables-density groundwater flow. Report No. U.S. Geol. Surv (USGS) Open-File, pp 01–434
Hussain MS, Javadi AA, Ahangar-Asr A, Farmani R (2015) A surrogate model for simulation-optimization of aquifer systems subjected to seawater intrusion. J Hydrol 523:542–554
Ketabchi H, Ataie-Ashtiani B (2015) Review: coastal groundwater optimization - advances, challenges, and practical solutions. Hydrogeol J 23(6):1129–1154
Ketabchi H, Jahangir MS (2019) Probabilistic numerical assessment of seawater intrusion overshoot in heterogeneous coastal aquifers. Stoch Env Res Risk A 33(11–12):1951–1968
Kopsiaftis G, Christelis V, Mantoglou A (2019) Comparison of sharp interface to variable density models in pumping optimisation of coastal aquifers. Water Resour Manag 33(4):1397–1409
Koza JR (1992) Genetic programming: on the programming of computers by means of natural selection. MIT Press, Cambridge
Lal A, Datta B (2018) Modelling saltwater intrusion processes and development of a multi-objective strategy for management of coastal aquifers utilizing planned artificial freshwater recharge. Model Earth Syst Environ 4(1):111–126
Lal A, Datta B (2019) Optimal groundwater-use strategy for saltwater intrusion management in a pacific island country. J Water Res Pl 145(9):04019032
Miao TS, Lu WX, Guo JY, Lin J, Fan Y (2019) Modeling and uncertainty analysis of seawater intrusion based on surrogate models. Environ Sci Pollut R 26(25):26015–26025
Mostafaei-Avandari M, Ketabchi H (2020) Coastal groundwater management by an uncertainty-based parallel decision model. J Water Res Pl 146(6):04020036
Rajabi MM, Ketabchi H (2017) Uncertainty-based simulation-optimization using gaussian process emulation: application to coastal groundwater management. J Hydrol 555:518–534
Ranjbar A, Mahjouri N (2020) Multi-objective freshwater management in coastal aquifers under uncertainty in hydraulic parameters. Nat Resour Res 29(4):2347–2368
Refsgaard JC, Christensen S, Sonnenborg TO, Seifert D, Hojberg AL, Troldborg L (2012) Review of strategies for handling geological uncertainty in groundwater flow and transport modeling. Adv Water Resour 36:36–50
Roy DK, Datta B (2018) Trained meta-models and evolutionary algorithm based multi-objective management of coastal aquifers under parameter uncertainty. J Hydroinf 20(6):1247–1267
Searson DP (2015) GPTIPS 2: an open-source software platform for symbolic data mining. In: Gandomi AH, Alavi AH, Ryan C (eds.), Handb Genet Program Appl Springer, Switzerland, pp. 551–573
Song J, Yang Y, Wu JF, Wu JC, Sun XM, Lin J (2018) Adaptive surrogate model based multiobjective optimization for coastal aquifer management. J Hydrol 561:98–111
Sreekanth J, Datta B (2011) Coupled simulation-optimization model for coastal aquifer management using genetic programming-based ensemble surrogate models and multiple-realization optimization. Water Resour Res 47:W04516
Sreekanth J, Moore C, Wolf L (2016) Pareto-based efficient stochastic simulation-optimization for robust and reliable groundwater management. J Hydrol 533:180–190
Vats OP, Sharma B, Stamm J, Bhattacharjya RK (2020) Groundwater circulation well for controlling saltwater intrusion in coastal aquifers: numerical study with experimental validation. Water Resour Manag 34(11):3551–3563
Xu TF, Valocchi AJ, Ye M, Liang F, Lin YF (2017) Bayesian calibration of groundwater models with input data uncertainty. Water Resour Res 53(4):3224–3245
Yang Y, Wu JF, Lin J, Wang JG, Zhou ZF, Wu JC (2018) An efficient simulation-optimization approach for controlling seawater intrusion. J Coastal Res 84:10–18
Yang Y, Song J, Simmons CT, Ataie-Ashtiani B, Wu JF, Wang JG, Wu JC (2021) A conjunctive management framework for the optimal design of pumping and injection strategies to mitigate seawater intrusion. J Environ Manag 282:111964
Acknowledgments
The authors would like to gratefully acknowledge the financial support from the National Key Research and Development Program of China (No. 2016YFC0402800).
Availability of Data and Materials
Available from the corresponding author upon reasonable request.
Funding
See the Acknowledgments section.
Author information
Authors and Affiliations
Contributions
Zheng Han: model conceptualization, methodology, data curation, programing tune, writing – original draft; Wenxi Lu: supervision, project administration; Yue Fan: writing – review and editing, methodology; Jianan Xu: validation, software; Jin Lin: validation, data curation.
Corresponding author
Ethics declarations
Competing Interests
None.
Code Availability
Available upon reasonable request.
Ethics Approval
Not applicable.
Consent to Participate
Not applicable.
Consent for Publication
Not applicable.
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Supplementary Information
ESM 1
(PDF 919 kb)
Rights and permissions
About this article
Cite this article
Han, Z., Lu, W., Fan, Y. et al. Surrogate-Based Stochastic Multiobjective Optimization for Coastal Aquifer Management under Parameter Uncertainty. Water Resour Manage 35, 1479–1497 (2021). https://doi.org/10.1007/s11269-021-02796-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11269-021-02796-5