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Behavior of effluents discharged into shallow coastal waters under the influence of spring-neap tidal currents

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Abstract

The oscillatory nature of the coastal longshore currents is one of the major factors that play a significant role in the spreading of discharged effluents in marine environments. Most previous investigations of the dispersion of discharged effluents through an outfall into the sea have been based on a simple sinusoidal tidal. In reality, tidal currents are more complicated and often contain oscillations of two different frequencies. An analytical solution of a two-dimensional advection-diffusion equation containing a developed spring-neap tidal current has been applied in the present paper. A parametric examination has been performed to study the effects of the spring-neap tidal currents on the concentration at the shoreline and along the centerline of discharge effluent plume from a single outfall. A comparison study of a constant discharge and a time-varying discharge strategy which depends on the spring-neap tidal current is also conducted. Finally, the interaction and merging of effluent discharge plumes from a system of two outfalls, including a single outfall installed with two-port diffuser, are investigated.

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References

  1. Alameddine I, El-Fadel M (2007) Discharge from desalination plants: a modeling approach to an optimized outfall design. Desalination 214(1–3):241–260

    Article  Google Scholar 

  2. Al-Barwani HH, Purnama A (2008) Brine discharges from two coastal desalination plants. In: Delgado DJ, Moreno P (eds) Desalination Research Progress. Nova Science Publishers, New York, USA, pp 489–497

    Google Scholar 

  3. Allen GP, Castaing P (1973) Suspended sediment transport from the Gironde estuary (France) onto the adjacent continental shelf. Mar Geol 14(5):47–53

    Article  Google Scholar 

  4. Allen GP, Salomon JC, Bassoullet P, Du Penhoat Y, De Grandpre C (1980) Effects of tides on mixing and suspended sediment transport in macrotidal estuaries. Sediment Geol 26(1–3):69–90

    Article  Google Scholar 

  5. Bleninger T, Jirka GH (2008) Modelling and environmentally sound management of brine discharges from desalination plants. Desalination 221(1–3):585–597

    Article  Google Scholar 

  6. Bleninger T, Jirka GH (2010) Environmental planning, prediction and management of brine discharges from desalination plants. Middle East Desalination Research Center, Muscat, Sultanate of Oman. Project: 07-AS-003

  7. Cheng RT, Gartner JW (1985) Harmonic analysis of tides and tidal currents in South San Francisco Bay, California. Estuar Coast Shelf Sci 21(1):57–74

    Article  Google Scholar 

  8. Gade HG (1998) Reflections over neap to spring tide ratios and spring tide retardment in co-oscillating basins with reference to observations from the North Sea. J Phys Oceanogr 28(5):749–755

    Article  Google Scholar 

  9. Godin G (1972) The Analysis of Tides. Liverpool University Press, U.K., p 272

    Google Scholar 

  10. Gradshteyn IS, Ryzhik I (2014) Table of integrals, series, and products. Editor: Zwillinger, D., Academic Press, ProQuest Ebook Central https://ebookcentral.proquest.com

  11. Grace R (2009) Marine Outfall Construction: Background, Techniques, and Case Studies.. American Society of Civil Engineers

  12. Haas LW (1977) The effect of the spring-neap tidal cycle on the vertical salinity structure of the James, York and Rappahannock Rivers, Virginia, USA. Estuar Coast Mar Sci 5(4):485–496

    Article  Google Scholar 

  13. Holley ER (1969) Difference modelling of stream pollution: discussion. J Sanit Eng Division, Proc Am Soc Civil Eng 95(SA5):968–972

    Article  Google Scholar 

  14. Isachsen PE, Pond S (2000) The influence of the spring-neap tidal cycle on currents and density in Burrard Inlet, British Columbia, Canada. Estuar Coast Shelf Sci 51(3):317–330

    Article  Google Scholar 

  15. Jirka GH (2006) Integral model for turbulent buoyant jets in unbounded stratified flows Part 2: Plane jet dynamics resulting from multiport diffuser jets. Environ Fluid Mech 6(1):43–100

    Article  Google Scholar 

  16. Kay A (1990) Advection-diffusion in reversing and oscillating flows: 1. The effect of a single reversal. IMA J Appl Math 45(2):115–137

    Article  Google Scholar 

  17. Kay A (1997) Advection-diffusion in reversing and oscillating flows: 2. Flows with multiple reversals. IMA J Appl Math 58(3):185–210

    Article  Google Scholar 

  18. Lessa GC (2000) Morphodynamic controls on tides and tidal currents in two macrotidal shallow estuaries, NE Australia. J Coast Res 16(4):976–989

    Google Scholar 

  19. Li L, Barry DA, Stagnitti F, Parlange JY, Jeng DS (2000) Beach water table fluctuations due to spring-neap tides: moving boundary effects. Adv Water Res 23(8):817–824

    Article  Google Scholar 

  20. Li Z, Li MZ, Dai Z, Zhao F, Li J (2015) Intratidal and neap-spring variations of suspended sediment concentrations and sediment transport processes in the North Branch of the Changjiang Estuary. Acta Oceanol Sinica 34(1):137–147

    Article  Google Scholar 

  21. Lin MY (2018) Deterministic particle tracking simulation of pollutant discharges in rivers and estuaries. Environ Fluid Mech 18(5):1143–1166

    Article  Google Scholar 

  22. Maalouf S (2014) Planning and design of desalination plants effluent systems. Doctoral Dissertation, University of California, Los Angeles

  23. Macdonald GJ, Weisman RN (1977) Oxygen-sag in a tidal river. J Environ Eng Division 103(3):473–488

    Article  Google Scholar 

  24. Mao X, Enot P, Barry DA, Li L, Binley A, Jeng DS (2006) Tidal influence on behaviour of a coastal aquifer adjacent to a low-relief estuary. J Hydrol 327(1–2):110–127

    Article  Google Scholar 

  25. Nash JD, Jirka GH (1997) Buoyant discharges in reversing ambient currents: experimental investigation and prediction. Technical Report No. CBWP-MANTA-TR-97-2, Maryland Department of Natural Resources

  26. National Oceanography Centre (NOC) (2020) An introduction to tidal numerical modelling. Website: https://noc.ac.uk/files/documents/business/an-introduction-to-tidal-modelling.pdf. (visited in Feb. 2020)

  27. Palomar P, Losada IJ (2011) Impacts of brine discharge on the marine environment. Modelling as a predictive tool. In: Schorr M (ed) Desalination. Trends and Technologies, InTech Open Access Publisher, Rijeka, Croatia, pp 279–311

    Google Scholar 

  28. Passone S, Das DB, Nassehil V, Bikangaga JH (2003) Design of discharge policies for multiple effluent sources and returning pollutants scenarios in a branching estuary. Estuar Coast Shelf Sci 56(2):227–237

    Article  Google Scholar 

  29. Purnama A, Al-Barwani HH, Al-Lawatia M (2003) Modeling dispersion of brine waste discharges from a coastal desalination plant. Desalination 155(1):41–47

    Article  Google Scholar 

  30. Purnama A, Al-Barwani HH (2006) Spreading of brine waste discharges into the Gulf of Oman. Desalination 195(1–3):26–31

    Article  Google Scholar 

  31. Purnama A, Al-Barwani HH, Bleninger T, Doneker RL (2011) CORMIX simulations of brine discharges from Barka plants. Oman. Desalin Water Treat 32(1–3):329–338

    Article  Google Scholar 

  32. Purnama A, Kay A (1999) Effluent discharge into tidal waters: optimal or economic strategy? Environmetrics 10(5):601–624

    Article  Google Scholar 

  33. Purnama A, Shao DD (2015) Modeling brine discharge dispersion from two adjacent desalination outfalls in coastal waters. Desalination 362:68–73

    Article  Google Scholar 

  34. Roberts PJ, Tian SX (2004) New experimental techniques for validation of marine discharge models. Environ Modell Softw 19(7–8):691–699

    Article  Google Scholar 

  35. Shao DD, Law AWK, Li HY (2008) Brine discharges into shallow coastal waters with mean and oscillatory tidal currents. J Hydro-environ Res 2(2):91–97

    Article  Google Scholar 

  36. Sharples J (2008) Potential impacts of the spring-neap tidal cycle on shelf sea primary production. J Plankton Res 30(2):183–197

    Article  Google Scholar 

  37. Smith R (2000) Optimal discharging in a branched estuary. J Eng Math 38(3):309–322

    Article  Google Scholar 

  38. U.S. Environmental Protection Agency (1991) Technical Support Document for Water Quality-based Toxics Control. Technical Report EPA/505/2-90-001, Office of Water, Washington, D.C

  39. Webb T, Tomlinson RB (1992) Design procedures for effluent discharge to estuaries during ebb tide. J Environ Eng 118(3):338–362

    Article  Google Scholar 

  40. Yanagi T, Shimizu M, Nomura M, Furukawa K (2003) Spring-neap tidal variations of residual flow in Tokyo Bay. Japan. Cont Shelf Res 23(11–13):1087–1097

    Article  Google Scholar 

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Correspondence to Ahmed Al-Kasbi.

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Al-Kasbi, A., Purnama, A. Behavior of effluents discharged into shallow coastal waters under the influence of spring-neap tidal currents. Environ Fluid Mech 22, 5–32 (2022). https://doi.org/10.1007/s10652-021-09826-1

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  • DOI: https://doi.org/10.1007/s10652-021-09826-1

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