Simulation of the Movement of Groundwater in an Aquifer

Authors

  • Suha Ibrahim Salih AL-Ali
    Computer Science and Mathematics Department, College of Computer Science and Mathematics, Tikrit University, Tikrit, Iraq
  • Nihad Jalal Kadhem AL-Awsi
    Computer Science and Mathematics Department, College of Computer Science and Mathematics, Tikrit University, Tikrit, Iraq

Keywords:

Free Surface, Tropical Island, Porous Medium, Freshwater Lens, Island Tub, Green’s Function.

Abstract

This study investigates the impact of extracting fresh water from areas where salt water and fresh water meet in tropical regions. Traditionally, fresh water is expected to be found above salt water in the ocean or underground. To carry out the investigation, Green's Function method is used, and a numerical chart is presented that includes an equation derived from Green's II matching. The study computes the shape of the interface during water withdrawal and flows through the basins and sources of the line. In addition, this study obtains an analytical solution to the linear problem for the non-withdrawal scenario. Finally, the study identifies the maximum rate of water withdrawal before the initial breakthrough of salt water for different density ratios.

Dimensions

W. Li, X. Chen, L. Xie, Z. Liu & X. Xiong, “ Reply to Comments on: Li et al.(2019)” Bioelectrochemical Systems for Groundwater Remediation: “The Development Trend and Research Front Revealed by Bibliometric Analysis”, Water 11 (2020) 1532. https://doi.org/10.3390/w12061603.

World Health Organization (WHO), United Nations Department of Economic and Social Affairs, Progress on sanitation and drinking water: 2015 update and MDG assessment. World Health Organization, 2015.

A. E. Urai & C. Kelly, “Rethinking academia in a time of climate crisis”, ELife 12 (2023) 84991.

G. Worster, K. Moffatt & G. Batchelor (Eds.) Perspectives in Fluid Dynamics: A Collective Introduction to Current Research, Cambridge, UK: Cambridge University Press, 2000.

World Health Organization, Health and climate change: country profile 2019: small island developing states initiative: Tuvalu No. WHO/CED/PHE/EPE/19.3. 3. World Health Organization, 2019.

L. Chambers, S. Lui, R. Plotz, D. Hiriasia, P. Malsale, R. PulehetoaMitiepo, M. Natapei, N. Sanau, M. Waiwai, L. Tahani & A. Willy, “Traditional or contemporary weather and climate forecasts: reaching Pacific communities”, Regional Environmental Change 19 (2019) 1521.

M. A. Mycoo, Achieving SDG 6: “water resources sustainability in Caribbean Small Island Developing States through improved water governance, In Natural Resources Forum (Vol. 42, No. 1, pp. 54-68). Oxford, UK: Blackwell Publishing Ltd.

Pacific Community, Water Security Toolkit for Pacific Island Countries, 2019.

H. Canton, Canton, Helen, ed. “The Europa Directory of International Organizations: 2021”. Routledge, 2021.

S. Al-Ali, G. C. Hocking, D. E. Farrow & H. Zhang, “A spectral modelling approach for fluid flow into a line sink in a confined aquifer”, European Journal of Applied Mathematics 33 (2022) 960.

A. D. Werner, & M. Bakker, “Saltwater intrusion in coastal aquifers”, Wiley Interdisciplinary Reviews: Water 6 (2019) 1388.

E. Custodio, “Aquifer overexploitation: what does it mean?”. Hydrogeology Journal (2002)10:254–277.

L. Martinez-Perez, L. L. Carrera, J. Marazuela, M. A. Goyetche, T. M. Pool & A. Folch, “ A multidisciplinary approach to characterizing coastal alluvial aquifers to improve understanding of seawater intrusion and submarine groundwater discharg”, Journal of Hydrology, 607,(2022)127510.

M. O. Ogunniran “A Class of Block Multi-derivative Numerical Techniques for Singular Advection Equations”, Journal of the Nigerian Society of Physical Sciences 1 (2019) 62

S. Al-Ali, G. C. Hocking, & D. E. Farrow “Critical surface coning due to a line sink in a vertical drain containing a porous medium”, The ANZIAM Journal 61 (2019) 249.

O. O. Olaiya, R. A. Azeez, & M. I. Modebei, “Efficient Hybrid Block Method For The Numerical Solution Of Second-order Partial Differential Problems via the Method of Lines”. Journal of the Nigerian Society of Physical Sciences, (2021) 26.

R. N. Bracewell, & R. N. Bracewell, The Fourier transform and its applications New York: McGraw-Hill Vol. 31999, 1986.

C. K. Wentworth, “Storage consequences of the Ghyben-Herzberg theor”, Eos, Transactions American Geophysical Union 23 (1942) 683.

W. Badon-Ghyben, Notes on the probable results of well drilling near Amsterdam, Tijdschrift van het Koninklijk Inst. van Ing. Den Haag, 1888.

D. K. Todd, & L. W. Mays, Groundwater Hydrology, Third Edition. John Wiley and Sons, Inc. (2005).

P. K. Kundu, I. M. Cohen & D. R. Dowling, Fluid mechanics, Academic press, 2015.

L. N. Trefethen & D. Bau,“Numerical linear algebr”, Siam 181 (2022).

H. T. Davis, “Introduction to nonlinear differential and integral equations”, US Atomic Energy Commission, 1960.

K. Aziz, & A. Settari, Petroleum reservoir simulation, 1979.

C. A. Fletcher, Computational techniques for fluid dynamics 2: Specific techniques for different flow categories Springer Science & Business Media, 2012.

Z. Ling, L. Shu, Y. Sun, R. Wang & Y. Li, “Impact of island urbanization on freshwater lenses: A case study on a small coral island”, Water 13 (2021) 3272.

A. D. Werner & C. T. Simmons, “Impact of sea-level rise on sea water intrusion in coastal aquifers”, Groundwater 47 (2009) 197.

A. D. Werner, M. Bakker, V. E. Post, A. Vandenbohede, C. Lu, B. AtaieAshtiani & D. A. Barry, “Seawater intrusion processes, investigation and management: recent advances and future challenges”, Advances in water resources 51 (2013) 3.

H. I. Essaid, “A comparison of the coupled fresh water-salt water flow and the Ghyben-Herzberg sharp interface approaches to modeling of transient behavior in coastal aquifer systems”, Journal of Hydrology 86 (1986) 169.

H. Bouwer & H. Bouwer, Groundwater hydrology, New York: McGraw-

Hill, 1978.

A. J. Raudkivi & R. A. Callander, Analysis of groundwater flow, No. Monograph, 1976.

W. B. Ghyben, Nota in verband met de voorgenomen putboring nabij Amsterdam, Tijdschrift van Let Koninklijk Inst. Van Ing., 1888.

Published

2023-06-22

How to Cite

Simulation of the Movement of Groundwater in an Aquifer. (2023). Journal of the Nigerian Society of Physical Sciences, 5(3), 1512. https://doi.org/10.46481/jnsps.2023.1512

Issue

Volume 5, Issue 3, August 2023

Section

Original Research
Copyright & Licensing

Copyright (c) 2023 Suha Ibrahim Salih AL-Ali, Nihad Jalal Kadhem AL-Awsi

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Simulation of the Movement of Groundwater in an Aquifer. (2023). Journal of the Nigerian Society of Physical Sciences, 5(3), 1512. https://doi.org/10.46481/jnsps.2023.1512

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