Abstract

Saltwater intrusion in a coastal region is one of the major issues facing the agricultural, domestic, and industrial sectors. Groundwater withdrawal for an increasing population and agricultural and industrial demands are the main reasons for saltwater intrusion into coastal aquifers. Saltwater intrusion into freshwater aquifers directly affects a population’s health, economy, and social development. This study explores an innovative approach to modeling saltwater intrusion into freshwater using a prey–predator model. Freshwater is analogized as the prey and saltwater as the predator, providing a unique perspective on understanding this phenomenon. The present model was formulated using a balance of freshwater and saltwater and is applicable to coastal aquifers. An amount of freshwater withdrawal such that the volume of saltwater does not produce adverse impacts is predicted graphically. Based on a certain simulation, the current model suggests that if the withdrawal rate drops to 50%, freshwater is projected to surpass saltwater dominance for about 90 years. The model has been validated through a benchmark saltwater intrusion problem.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.

Acknowledgments

The corresponding author acknowledges Neotia University for the minor grant.

References

Abd-Elaty, I., H. F. Abd-Elhamid, and K. Qahman. 2020. “Coastal aquifer protection from saltwater intrusion using abstraction of brackish water and recharge of treated wastewater: Case study of the Gaza aquifer.” J. Hydrol. Eng. 25 (7): 05020012. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001927.
Amalia, R. D., and D. K. Arif. 2018. “Optimal control of predator-prey mathematical model with infection and harvesting on prey.” J. Phys. Conf. Ser. 974 (1): 012050. https://doi.org/10.1088/1742-6596/974/1/012050.
Calvache, M. L., and A. Pulido-Bosch. 1994. “Modeling the effects of salt-water intrusion dynamics for a coastal karstified block connected to a detrital aquifer.” Ground Water 32 (5): 767–777. https://doi.org/10.1111/j.1745-6584.1994.tb00918.x.
Calvache, M. L., and A. Pulido-Bosch. 1997. “Effects of geology and human activity on the dynamics of salt-water intrusion in three coastal aquifers in southern Spain.” Environ. Geol. 30 (3–4): 215–223. https://doi.org/10.1007/s002540050149.
Chakraborty, K., M. Chakraborty, and T. K. Kar. 2011. “Bifurcation and control of a bioeconomic model of a prey–predator system with a time delay.” Nonlinear Anal. Hybrid Syst. 5 (4): 613–625. https://doi.org/10.1016/j.nahs.2011.05.004.
Chang, S. W., and T. P. Clement. 2012. “Experimental and numerical investigation of saltwater intrusion dynamics in flux controlled groundwater systems.” Water Resour. Res. 48 (9): W09527. https://doi.org/10.1029/2012WR012134.
Essink, G. H. O. 2001. “Saltwater intrusion in a three-dimensional groundwater system in the Netherlands: A numerical study.” Transp. Porous Media 43 (1): 137–158. https://doi.org/10.1023/A:1010625913251.
Frolov, A. P., and I. O. Yusmanov. 2000. “Interaction between fresh groundwater and salt sea water in heterogeneous freshwater coastal aquifer.” In Groundwater updates, 223–228. Tokyo: Springer.
Fujii, T., and Y. Rondelez. 2013. “Predator–prey molecular ecosystems.” ACS Nano 7 (1): 27–34. https://doi.org/10.1021/nn3043572.
Ghosh, B., and T. K. Kar. 2014. “Sustainable use of prey species in a prey–predator system: Jointly determined ecological thresholds and economic trade-offs.” Ecol. Modell. 272 (Feb): 49–58. https://doi.org/10.1016/j.ecolmodel.2013.09.013.
Goswami, R. R., and T. P. Clement. 2007. “Laboratory-scale investigation of saltwater intrusion dynamics.” Water Resour. Res. 43 (4): W04418. https://doi.org/10.1029/2006WR005151.
Holding, M. L., J. E. Biardi, and H. L. Gibbs. 2016. “Coevolution of venom function and venom resistance in a rattlesnake predator and its squirrel prey.” Proc. Biol. Sci. 283 (1829): 20152841. https://doi.org/10.1098/rspb.2015.2841.
Kang, Y., S. K. Sasmal, and K. Messan. 2017. “A two-patch prey-predator model with predator dispersal driven by the predation strength.” Math. Biosci. Eng. 14 (4): 843. https://doi.org/10.3934/mbe.2017046.
Kim, K. Y., C. M. Chon, and K. H. Park. 2007. “A simple method for locating the freshwater–saltwater interface using pressure data.” Ground Water 45 (6): 723–728. https://doi.org/10.1111/j.1745-6584.2007.00349.x.
Kumar, P. S. 2016. “Deciphering the groundwater–saline water interaction in a complex coastal aquifer in South India using statistical and hydrochemical mixing models.” Model. Earth Syst. Environ. 2 (4): 1–11. https://doi.org/10.1007/s40808-016-0249-9.
Li, H. L., L. Zhang, C. Hu, Y. L. Jiang, and Z. Teng. 2017. “Dynamical analysis of a fractional-order predator-prey model incorporating a prey refuge.” J. Appl. Math. Comput. 54 (1): 435–449. https://doi.org/10.1007/s12190-016-1017-8.
Mabrouk, M., A. Jonoski, G. H. P. Oude Essink, and S. Uhlenbrook. 2018. “Impacts of sea level rise and groundwater extraction scenarios on fresh groundwater resources in the Nile Delta governorates, Egypt.” Water 10 (11): 1690. https://doi.org/10.3390/w10111690.
Memari, S. S., V. S. Bedekar, and T. P. Clement. 2020. “Laboratory and numerical investigation of saltwater intrusion processes in a circular island aquifer.” Water Resour. Res. 56 (2): e2019WR025325. https://doi.org/10.1029/2019WR025325.
Meyer, R., P. Engesgaard, and T. O. Sonnenborg. 2019. “Origin and dynamics of saltwater intrusion in a regional aquifer: Combining 3-D saltwater modeling with geophysical and geochemical data.” Water Resour. Res. 55 (3): 1792–1813. https://doi.org/10.1029/2018WR023624.
Michael, H. A., C. J. Russoniello, and L. A. Byron. 2013. “Global assessment of vulnerability to sea level rise in topography limited and recharge limited coastal groundwater systems.” Water Resour. Res. 49 (4): 2228–2240. https://doi.org/10.1002/wrcr.20213.
Moore, W. S., and S. B. Joye. 2021. “Saltwater intrusion and submarine groundwater discharge: Acceleration of biogeochemical reactions in changing coastal aquifers.” Front. Earth Sci. 9 (Jan): 231. https://doi.org/10.3389/feart.2021.600710.
Mulligan, A. E., R. L. Evans, and D. Lizarralde. 2007. “The role of paleochannels in groundwater/seawater exchange.” J. Hydrol. 335 (3–4): 313–329. https://doi.org/10.1016/j.jhydrol.2006.11.025.
Naji, R. K., and S. Majeed. 2020. “A study of prey-predator model with stage-structure in predator.” World J. Modell. Simul. 16 (2): 95–106.
Nishikawa, T., A. J. Siade, E. G. Reichard, D. J. Ponti, A. G. Canales, and T. A. Johnson. 2009. “Stratigraphic controls on seawater intrusion and implications for groundwater management, Dominguez Gap area of Los Angeles, California, USA.” Hydrogeol. J. 17 (7): 1699. https://doi.org/10.1007/s10040-009-0481-8.
Oude Essink, G. H. P., E. S. Van Baaren, and P. G. De Louw. 2010. “Effects of climate change on coastal groundwater systems: A modeling study in the Netherlands.” Water Resour. Res. 46 (10): W00F04. https://doi.org/10.1029/2009WR008719.
Polemio, M., and K. Walraevens. 2019. “Recent research results on groundwater resources and saltwater intrusion in a changing environment.” Water 11 (6): 1118. https://doi.org/10.3390/w11061118.
Post, V., and E. Abarca. 2010. “Preface: Saltwater and freshwater interactions in coastal aquifers.” Hydrogeol. J. 18 (1): 1–4. https://doi.org/10.1007/s10040-009-0561-9.
Purwoarminta, A., N. Moosdorf, and R. M. Delinom. 2018. “Investigation of groundwater-seawater interactions: A review.” IOP Conf. Ser.: Earth Environ. Sci. 118 (1): 012017. https://doi.org/10.1088/1755-1315/118/1/012017.
Qahman, K., and A. Larabi. 2006. “Evaluation and numerical modeling of seawater intrusion in the Gaza aquifer (Palestine).” Hydrogeol. J. 14 (5): 713–728. https://doi.org/10.1007/s10040-005-003-2.
Rasmussen, J., T. O. Sonnenborg, S. Stisen, L. P. Seaby, B. S. Christensen, and K. Hinsby. 2012. “Climate change effects on irrigation demands and minimum stream discharge: Impact of bias-correction method.” Hydrol. Earth Syst. Sci. 16 (12): 4675–4691. https://doi.org/10.5194/hess-16-4675-2012.
Sadeg, S., and N. Karahanoglu. 2001. “Numerical assessment of seawater intrusion in the Tripoli region, Libya.” Environ. Geol. 40 (9): 1151–1168. https://doi.org/10.1007/s002540100317.
Serebriakov, V., and M. Dohnal. 2019. “Trend prey-predator model-Analysis of Gause model.” Global Ecol. Conserv. 18 (Jan): 00634. https://doi.org/10.1016/j.gecco.2019.e00634.
Somay, M. A., and Ü. Gemici. 2009. “Assessment of the salinization process at the coastal area with hydrogeochemical tools and geographical information systems (GIS): Selçuk plain, Izmir, Turkey.” Water Air Soil Pollut. 201 (1): 55–74. https://doi.org/10.1007/s11270-008-9927-1.
Sulzbacher, H., H. Wiederhold, B. Siemon, M. Grinat, J. Igel, T. Burschil, and K. Hinsby. 2012. “Numerical modeling of climate change impacts on freshwater lenses on the North Sea Island of Borkum using hydrological and geophysical methods.” Hydrol. Earth Syst. Sci. 16 (10): 3621–3643. https://doi.org/10.5194/hess-16-3621-2012.
Werner, A. D., M. Bakker, V. E. Post, A. Vandenbohede, C. Lu, B. Ataie-Ashtiani, C. T. Simmons, and D. A. Barry. 2013. “Seawater intrusion processes, investigation and management: Recent advances and future challenges.” Adv. Water Resour. 51 (Apr): 3–26. https://doi.org/10.1016/j.advwatres.2012.03.004.
Werner, A. D., and T. S. Craig. 2009. “Impact of sea level rise on seawater intrusion in coastal aquifers.” Ground Water 47 (2): 197–204. https://doi.org/10.1111/j.1745-6584.2008.00535.x.
Xu, S. 2014. “Dynamics of a general prey-predator model with prey-stage structure and diffusive effects.” Comput. Math. Appl. 68 (3): 405–423. https://doi.org/10.1016/j.camwa.2014.06.016.
Yakirevich, A., A. Melloul, S. Sorek, S. Shaath, and V. Borisov. 1998. “Simulation of seawater intrusion into the Khan Yunis area of the Gaza Strip coastal aquifer.” Hydrogeol. J. 6 (4): 549–559. https://doi.org/10.1007/s100400050175.
Zhang, Q., R. E. Volker, and D. A. Lockington. 2004. “Numerical investigation of seawater intrusion at Gooburrum, Bundaberg, Queensland, Australia.” Hydrogeol. J. 12 (6): 674–687. https://doi.org/10.1007/s10040-004-0333-5.
Zhou, X., M. Chen, X. Ju, X. Ning, and J. Wang. 2000. “Numerical simulation of seawater intrusion near Beihai, China.” Environ. Geol. 40 (1): 223–233. https://doi.org/10.1007/s002540000113.

Information & Authors

Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 29Issue 4August 2024

History

Received: Apr 27, 2023
Accepted: Feb 23, 2024
Published online: May 22, 2024
Published in print: Aug 1, 2024
Discussion open until: Oct 22, 2024

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Animesh Samanta [email protected]
Ph.D. Scholar, Dept. of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India. Email: [email protected]
Tapan Chatterjee [email protected]
Ph.D. Scholar, Dept. of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India. Email: [email protected]
Priyanka Mandal [email protected]
Ph.D. Scholar, School of Science and Technology, Neotia Univ., Diamond Harbour, West Bengal 743368, India. Email: [email protected]
Assistant Professor, School of Science and Technology, Neotia Univ., Diamond Harbour, West Bengal 743368, India (corresponding author). ORCID: https://orcid.org/0000-0002-5632-9388. Email: [email protected]
Professor, Agricultural and Food Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal 721302, India. ORCID: https://orcid.org/0000-0001-9460-8567. Email: [email protected]
Mritunjay Kumar Singh, M.ASCE [email protected]
Professor, Dept. of Mathematics and Computing, Indian Institute of Technology (Indian School of Mines), Dhanbad 826004, India. Email: [email protected]

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.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share