Multiobjective Spatial Pumping Optimization for Groundwater Management in a Multiaquifer System
Publication: Journal of Water Resources Planning and Management
Volume 146, Issue 4
Abstract
Challenges exist in managing groundwater resources because of spatiotemporally variable pumping activities as well as complex subsurface hydrogeology. In addition, excessive water exploitation induces an imbalance among multistakeholder benefits. In this study, a nonlinear high-order multiobjective optimization model was constructed to derive optimal freshwater pumping strategies and explore the optimality through regulation of pumping locations. Three objectives concerning water supply, energy cost, and environmental problems were formulated into a groundwater management framework that maximizes the total groundwater withdrawal from potential wells and minimizes the total energy cost for well pumping, and groundwater level variations at monitoring locations. Binary variables were incorporated into the groundwater management model to control the operative status of the pumping wells. An improved Nondominated Sorting Genetic Algorithm II (NSGA-II) was developed to increase solution convergence and linked with a high-fidelity groundwater model (MODFLOW-2005) to solve the optimization problem. The improved NSGA-II was expedited on a parallel computing platform to alleviate the computational burden. The effectiveness of the proposed methodology was demonstrated by an application to the Baton Rouge multiaquifer system in southeastern Louisiana. Nondominated trade-off solutions were successfully achieved through the proposed approach and were an optimum with regard to the goals and corresponding consequences. Operative status of the pumping wells, pumping rates, and distances from observation wells to the pumping wells produced distinctive optimization responses. In conclusion, the proposed approach is an appealing method for determining the optimal extent to which the three objectives concerning water supply, energy cost, and environmental problems can be achieved.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
The historical pumping data were provided by the Capital Area Ground Water Conservation Commission (CAGWCC) of Louisiana. Other data, models, and codes that support the findings of this study are available from the corresponding author, Frank Tsai, upon request.
Acknowledgments
This work was supported in part by the Louisiana Board of Regents-ITRS under Award No. LEQSF (2015-18)-RD-B-03, the Capital Area Ground Water Conservation Commission of Louisiana, ExxonMobil, and Georgia-Pacific Corporation. The authors acknowledge the US Geological Survey and the Capital Area Groundwater Conservation Commission for providing pertinent water data. Louisiana State University (LSU) High Performance Computing and the LSU Center for Computation and Technology are acknowledged for providing a supercomputer, SuperMIC, and technique assistance during this study.
References
Ahlfeld, D. P., and G. Baro-Montes. 2008. “Solving unconfined groundwater flow management problems with successive linear programming.” J. Water Resour. Plann. Manage. 134 (5): 404–412. https://doi.org/10.1061/(ASCE)0733-9496(2008)134:5(404).
Ayvaz, M. T., and A. Elçi. 2013. “A groundwater management tool for solving the pumping cost minimization problem for the Tahtali watershed (Izmir-Turkey) using hybrid HS-Solver optimization algorithm.” J. Hydrol. 478 (Jan): 63–76. https://doi.org/10.1016/j.jhydrol.2012.11.045.
Bertrand, G., et al. 2016. “Groundwater contamination in coastal urban areas: Anthropogenic pressure and natural attenuation processes. Example of Recife (PE State, NE Brazil).” J. Contam. Hydrol. 192 (Sep): 165–180. https://doi.org/10.1016/j.jconhyd.2016.07.008.
Buono, A. 1983. The Southern Hills regional aquifer system of southeastern Louisiana and southwestern Mississippi. Washington, DC: USGS.
Cardenas, M. B., and J. L. Wilson. 2007. “Exchange across a sediment–water interface with ambient groundwater discharge.” J. Hydrol. 346 (3): 69–80. https://doi.org/10.1016/j.jhydrol.2007.08.019.
Castellazzi, P., R. Martel, A. Rivera, J. Huang, G. Pavlic, A. I. Calderhead, E. Chaussard, J. Garfias, and J. Salas. 2016. “Groundwater depletion in Central Mexico: Use of GRACE and InSAR to support water resources management.” Water Resour. Res. 52 (8): 5985–6003. https://doi.org/10.1002/2015WR018211.
Chi, S. C., and R. E. Reilinger. 1984. “Geodetic evidence for subsidence due to groundwater withdrawal in many parts of the United States of America.” J. Hydrol. 67 (1): 155–182. https://doi.org/10.1016/0022-1694(84)90239-7.
Conway, B. D. 2016. “Land subsidence and earth fissures in south-central and southern Arizona, USA.” Hydrogeol. J. 24 (3): 649–655. https://doi.org/10.1007/s10040-015-1329-z.
Davis, G., and J. Rollo. 1970. “Land subsidence related to decline of artesian head at Baton Rouge, Lower Mississippi Valley, USA.” In Proc., Int. Symp. on Land Subsidence, 174–184. Gentbrugge, Belgium: International Association of Hydrological Sciences and UNESCO.
Deb, K., A. Pratap, S. Agarwal, and T. Meyarivan. 2002. “A fast and elitist multiobjective genetic algorithm: NSGA-II.” IEEE Trans. Evol. Comput. 6 (2): 182–197. https://doi.org/10.1109/4235.996017.
Ehtiat, M., S. Jamshid Mousavi, and R. Srinivasan. 2018. “Groundwater modeling under variable operating conditions using SWAT, MODFLOW and MT3DMS: A catchment scale approach to water resources management.” Water Resour. Manage. 32 (5): 1631–1649. https://doi.org/10.1007/s11269-017-1895-z.
Elshall, A. S., and F. T.-C. Tsai. 2014. “Constructive epistemic modeling of groundwater flow with geological structure and boundary condition uncertainty under the Bayesian paradigm.” J. Hydrol. 517 (Sep): 105–119. https://doi.org/10.1016/j.jhydrol.2014.05.027.
Erban, L. E., S. M. Gorelick, H. A. Zebker, and S. Fendorf. 2013. “Release of arsenic to deep groundwater in the Mekong Delta, Vietnam, linked to pumping-induced land subsidence.” Proc. Natl. Academy Sci. 110 (34): 13751–13756. https://doi.org/10.1073/pnas.1300503110.
Erickson, M., A. Mayer, and J. Horn. 2002. “Multi-objective optimal design of groundwater remediation systems: Application of the niched Pareto genetic algorithm (NPGA).” Adv. Water Resour. 25 (1): 51–65. https://doi.org/10.1016/S0309-1708(01)00020-3.
Gadhvi, B., V. Savsani, and V. Patel. 2016. “Multi-objective optimization of vehicle passive suspension system using NSGA-II, SPEA2 and PESA-II.” Procedia Technol. 23 (1): 361–368. https://doi.org/10.1016/j.protcy.2016.03.038.
Gaur, S., S. Ch, D. Graillot, B. R. Chahar, and D. N. Kumar. 2013. “Application of artificial neural networks and particle swarm optimization for the management of groundwater resources.” Water Resour. Manage. 27 (3): 927–941. https://doi.org/10.1007/s11269-012-0226-7.
Hansen, J. S. 2011. GNU octave: Beginner’s guide: Become a proficient octave user by learning this high-level scientific numerical tool from the ground up. Birmingham, UK: Packt Publishing.
Harbaugh, A. W. 2005. MODFLOW-2005, the U.S. Geological Survey modular ground-water model: The ground-water flow process. Reston, VA: US Dept. of the Interior, USGS.
Hong, L., J. H. Drake, and E. Özcan. 2014. “A step size based self-adaptive mutation operator for evolutionary programming.” In Proc., Companion Publication of the 2014 Annual Conf. on Genetic and Evolutionary Computation. 1381–1388. New York: Association for Computing Machinery.
Hugman, R., T. Y. Stigter, J. P. Monteiro, and L. Nunes. 2012. “Influence of aquifer properties and the spatial and temporal distribution of recharge and abstraction on sustainable yields in semi-arid regions.” Hydrol. Processes 26 (18): 2791–2801. https://doi.org/10.1002/hyp.8353.
Jacob, C. E. 1947. “Drawdown test to determine effective radius of artesian well.” Trans. Am. Soc. Civ. Eng. 112 (1): 1047–1064.
Keery, J., A. Binley, N. Crook, and J. W. N. Smith. 2007. “Temporal and spatial variability of groundwater–surface water fluxes: Development and application of an analytical method using temperature time series.” J. Hydrol. 336 (1): 1–16. https://doi.org/10.1016/j.jhydrol.2006.12.003.
Kifanyi, G. E., J. M. Ndambuki, and S. N. Odai. 2017. “A quantitative groundwater resource management under uncertainty using a retrospective optimization framework.” Sustainability 9 (1): 2–15. https://doi.org/10.3390/su9010002.
Li, M., P. Guo, and C. Ren. 2015. “Water resources management models based on two-level linear fractional programming method under uncertainty.” J. Water Resour. Plann. Manage. 141 (8): 05015001. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000518.
Libera, A., F. P. J. de Barros, and A. Guadagnini. 2017. “Influence of pumping operational schedule on solute concentrations at a well in randomly heterogeneous aquifers.” J. Hydrol. 546 (Mar): 490–502. https://doi.org/10.1016/j.jhydrol.2016.12.022.
Liu, Z., and V. Merwade. 2018. “Accounting for model structure, parameter and input forcing uncertainty in flood inundation modeling using Bayesian model averaging.” J. Hydrol. 565 (10): 138–149. https://doi.org/10.1016/j.jhydrol.2018.08.009.
Liu, Z., V. Merwade, and K. Jafarzadegan. 2019. “Investigating the role of model structure and surface roughness in generating flood inundation extents using one-and two-dimensional hydraulic models.” J. Flood Risk Manage. 12 (1): e12347. https://doi.org/10.1111/jfr3.12347.
Mani, A., F. T.-C. Tsai, and K. P. Paudel. 2016. “Mixed integer linear fractional programming for conjunctive use of surface water and groundwater.” J. Water Resour. Plann. Manage. 142 (11): 04016045. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000676.
Milan, S. G., A. Roozbahani, and M. E. Banihabib. 2018. “Fuzzy optimization model and fuzzy inference system for conjunctive use of surface and groundwater resources.” J. Hydrol. 566 (Nov): 421–434. https://doi.org/10.1016/j.jhydrol.2018.08.078.
Mondal, A., T. Eldho, and V. G. Rao. 2010. “Multiobjective groundwater remediation system design using coupled finite-element model and nondominated sorting genetic algorithm II.” J. Hydrol. Eng. 15 (5): 350–359. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000198.
Motevalli, A., H. R. Moradi, and S. Javadi. 2018. “A comprehensive evaluation of groundwater vulnerability to saltwater up-coning and sea water intrusion in a coastal aquifer (case study: Ghaemshahr-juybar aquifer).” J. Hydrol. 557 (Feb): 753–773. https://doi.org/10.1016/j.jhydrol.2017.12.047.
Peralta, R., B. Timani, and R. Das. 2011. “Optimizing safe yield policy implementation.” Water Resour. Manage. 25 (2): 483–508. https://doi.org/10.1007/s11269-010-9710-0.
Peralta, R. C., and K. Kowalski. 1988. “Optimal volumetric and economic groundwater mining for the Arkansas Grand Prairie.” Agric. Water Manage. 15 (1): 1–17. https://doi.org/10.1016/0378-3774(88)90139-4.
Pham, H. V., and F. T.-C. Tsai. 2016. “Groundwater modeling.” Chap. 48 in Handbook of applied hydrology, 2nd ed., edited by V. P. Singh. New York: McGraw Hill.
Pham, H. V., and F. T.-C. Tsai. 2017. “Modeling complex aquifer systems: A case study in Baton Rouge, Louisiana (USA).” Hydrogeol. J. 25 (3): 601–615. https://doi.org/10.1007/s10040-016-1532-6.
Reed, P. M., and B. S. Minsker. 2004. “Striking the balance: Long-term groundwater monitoring design for conflicting objectives.” J. Water Resour. Plann. Manage. 130 (2): 140–149. https://doi.org/10.1061/(ASCE)0733-9496(2004)130:2(140).
Sidiropoulos, P., N. Mylopoulos, and A. Loukas. 2015. “Stochastic simulation and management of an over-exploited aquifer using an integrated modeling system.” Water Resour. Manage. 29 (3): 929–943. https://doi.org/10.1007/s11269-014-0852-3.
Thomas, M. A., K. L. Kuhlman, and A. L. Ward. 2017. “Anthropogenic influences on groundwater in the vicinity of a long-lived radioactive waste repository.” Hydrol. Processes 31 (14): 2637–2647. https://doi.org/10.1002/hyp.11214.
Tomaszewski, D. J. 1996. Distribution and movement of saltwater in aquifers in the Baton Rouge area, Louisiana, 1990-92. Baton Rouge, LA: Louisiana Department of Transportation and Development.
Tomaszewski, D. J., and D. Accardo. 2004. Louisiana ground-water map No. 20: Potentiometric surface of the ‘2,000-foot’ sand of the Baton Rouge Area, Louisiana, May-June 2002. Baton Rouge, LA: USGS.
Tsai, F. T.-C., V. Katiyar, D. Toy, and R. A. Goff. 2009. “Conjunctive management of large-scale pressurized water distribution and groundwater systems in semi-arid area with parallel genetic algorithm.” Water Resour. Manage. 23 (8): 1497–1517. https://doi.org/10.1007/s11269-008-9338-5.
Wagner, T., N. Beume, and B. Naujoks. 2007. “Pareto-, aggregation-, and indicator-based methods in many-objective optimization.” In Proc., Evolutionary Multi-Criterion Optimization: 4th Int. Conf., EMO 2007. 742–756. Berlin: Springer-Verlag.
Wang, L., T.-G. Wang, and Y. Luo. 2011. “Improved non-dominated sorting genetic algorithm (NSGA)-II in multi-objective optimization studies of wind turbine blades.” Appl. Math. Mech. 32 (6): 739–748. https://doi.org/10.1007/s10483-011-1453-x.
Whiteman, C. D., Jr. 1980. Measuring local subsidence with extensometers in the Baton Rouge area, Louisiana, 1975-79. Baton Rouge, LA: Louisiana Department of Transportation and Development, Office of Public Works Water Resources.
Xu, J., Y. Tu, and Z. Zeng. 2013. “Bilevel optimization of regional water resources allocation problem under fuzzy random environment.” J. Water Resour. Plann. Manage. 139 (3): 246–264. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000248.
Yang, Y., X. F. Song, F. D. Zheng, L. C. Liu, and X. J. Qiao. 2015. “Simulation of fully coupled finite element analysis of nonlinear hydraulic properties in land subsidence due to groundwater pumping.” Environ. Earth Sci. 73 (8): 4191–4199. https://doi.org/10.1007/s12665-014-3705-8.
Yeh, W. W.-G. 2015. “Review: Optimization methods for groundwater modeling and management.” Hydrogeol. J. 23 (6): 1051–1065. https://doi.org/10.1007/s10040-015-1260-3.
Yin, J., and F. T.-C. Tsai. 2018. “Saltwater scavenging optimization under surrogate uncertainty for a multi-aquifer system.” J. Hydrol. 565 (Oct): 698–710. https://doi.org/10.1016/j.jhydrol.2018.08.021.
Yin, J., and F. T.-C. Tsai. 2019. “Steady-state approximate freshwater–saltwater interface in a two-horizontal-well scavenging system.” J. Hydrol. Eng. 24 (10): 06019008. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001836.
Zeng, Y., Z. Xie, Y. Yu, S. Liu, L. Wang, J. Zou, P. Qin, and B. Jia. 2016. “Effects of anthropogenic water regulation and groundwater lateral flow on land processes.” J. Adv. Model. Earth Syst. 8 (3): 1106–1131. https://doi.org/10.1002/2016MS000646.
Zou, J., Z. Xie, C. Zhan, P. Qin, Q. Sun, B. Jia, and J. Xia. 2015. “Effects of anthropogenic groundwater exploitation on land surface processes: A case study of the Haihe River Basin, northern China.” J. Hydrol. 524 (May): 625–641. https://doi.org/10.1016/j.jhydrol.2015.03.026.
Information & Authors
Information
Published In
Journal of Water Resources Planning and Management
Volume 146 • Issue 4 • April 2020
Copyright
©2020 American Society of Civil Engineers.
History
Received: Jun 19, 2018
Accepted: Sep 11, 2019
Published online: Feb 6, 2020
Published in print: Apr 1, 2020
Discussion open until: Jul 6, 2020
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.