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Modeling assessment of a saltwater intrusion and a transport time scale response to sea-level rise in a tidal estuary

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Abstract

This paper documents a modeling investigation to comprehend the effect of future sea-level rise (SLR) on estuarine salinity and transport time scales, including the residence time and the water age of dissolved substances in a partially mixed estuary. A three-dimensional semi-implicit Eulerian–Lagrangian finite-element model was established and applied to the Tamsui River estuarine system and the adjacent coastal sea in northern Taiwan. The modeling results indicated reasonable agreement with the observed water levels, tidal currents, and salinity. The model was then applied to calculate the salt intrusion, residence time, and water age between the baseline (without SLR) and different scenarios, including SLRs of 0.34, 1.05, and 1.40 m for the year 2100. The numerical model results reveal that the average salt content and salt intrusion length will increase as the sea level rises. The 1 psu isohaline moves toward upstream reaches with an increase in SLR. The results reveal that the maximum increment of tidal-averaged and depth-averaged salinity would be 1.1, 2.4, and 3.0 psu, respectively, for the SLRs of 0.34, 1.05 and 1.40 m at the middle estuary under mean flow conditions. The regression between salt intrusion length and freshwater discharge are established corresponding to different SLR scenarios. The residence time of the entire Tamsui River system would increase from 6.3 to 23 % compared to the baseline under low flow conditions. The concentration of dissolved substances would have a longer transport time from upstream to downstream because water volume increases with SLR. This indicates that the water age will increase in the main Tamsui River estuary as the sea level rises.

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References

  1. Arega F, Badr AW (2010) Numerical age and residence-time mapping for a small tidal creek: case study. J Waterw Port Coast Ocean Eng 136(4):226–237

    Article  Google Scholar 

  2. Attrill MJ (2002) A testable linear model for diversity trends in estuaries. J Anim Ecol 71(2):262–269

    Article  Google Scholar 

  3. Bahr DB, Dyurgerov M, Meier MF (2009) Sea-level rise from glaciers and ice caps: a lower bound. Geophys Res Lett 36(3):L03501

  4. Bhuiyan MJAN, Dutta D (2012) Assessing impacts of sea level rise on river salinity in the Gorai river network, Bangladesh. Estuar Coast Shelf Sci 96(1):219–227

    Article  Google Scholar 

  5. Cazenave A, Llovel W (2010) Contemporary sea level rise. Annu Rev Mar Sci 2:145–173

    Article  Google Scholar 

  6. Chen XJ (2007) A laterally averaged two-dimensional trajectory model for estimating transport time scale in the Alafia River estuary, Florida. Estuar Coast Shelf Sci 75(3):357–370

    Article  Google Scholar 

  7. Chua VP, Fringer OB, Monismith SG (2011) Influence of sea level rise on salinity in San Francisco Bay. Unpublished manuscript

  8. Church JA, White NJ (2011) Sea-Level rise from the late 19th to the early 21st century. Surv Geophys 32(4–5):585–602

    Article  Google Scholar 

  9. Cronin TM (2012) Rapid sea-level rise. Quat Sci Rev 56:11–30

    Article  Google Scholar 

  10. De Brauwere A, de Brye B, Blaise S, Deleersnijder E (2011) Residence time, exposure time and connectivity in the Scheldt Estuary. J Mar Syst 84(3–4):85–95

    Article  Google Scholar 

  11. De Brye B, de Brauwere A, Gourge O, Delhez EJM, Deleersnijder E (2012) Water renewal timescales in the Scheldt Estuary. J Mar Syst 94(1):74–86

    Article  Google Scholar 

  12. Deleersnijder E, Campin JM, Delhez EJM (2001) The concept of age in marine modeling: I. Theory and preliminary model results. J Mar Syst 28(3–4):229–267

    Article  Google Scholar 

  13. Delhez EJM, Campin JM, Hirst AC, Deleersnijder E (1999) Toward a general theory of the age in ocean modelling. Ocean Model 1(1):17–27

    Article  Google Scholar 

  14. Dettmann E (2001) Effect of water residence time on annual export and dentrification of nutrient in estuaries: a model analysis. Estuaries 24(4):481–490

    Article  Google Scholar 

  15. Dyer KR (1997) Estuaries: a physical introduction, 2nd edn. Wiley, London

    Google Scholar 

  16. Garcia A, Juanes JA, Alvarez C, Revilla JA, Medina R (2010) Assessment of the response of a shallow macrotidal estuary to changes in hydrological and wastewater inputs through numerical modelling. Ecol Model 221(8):1194–1208

    Article  Google Scholar 

  17. Geyer WR, MacCready P (2014) The estuarine circulation. Annu Rev Fluid Mech 46:175–197

    Article  Google Scholar 

  18. Giddings SN, Monismith SG, Fong DA, Stacey MT (2014) Using depth-normalized coordinates to examine mass transport residual circulation in estuaries with large tidal amplitude relative to the mean depth. J Phys Oceangr 44(1):128–148

    Article  Google Scholar 

  19. Gong WP, Shen J, Hong B (2009) The influence of wind on the water age in the tidal Rappahannock River. Mar Environ Res 68(4):203–216

    Article  Google Scholar 

  20. Grabemann H, Grabemann I, Herbers D, Muller A (2001) Effects of a specific climate scenario on the hydrograph and transport of conservative substances in the Weser estuary, Germany: a case study. Clim Res 18(1–2):77–87

    Article  Google Scholar 

  21. Grinsted A, Moore JC, Jevrejeva S (2009) Reconstructing sea level from paleo and projected temperatures 200 to 2100AD. Clim Dyn 34(4):461–472

    Article  Google Scholar 

  22. Guha A, Lawrence GA (2013) Estuary classification revisited. J Phys Oceanogr 43(8):1566–1572

    Article  Google Scholar 

  23. Hong B, Shen J (2012) Responses of estuarine salinity and transport processes to potential future sea-level rise in the Chesapeake Bay. Estuar Coast Shelf Sci 104–105:33–45

    Article  Google Scholar 

  24. Huang W, Liu X, Chen X, Flannery MS (2010) Estimating river flow effects on water ages by hydrodynamic modeling in Little Manatee River estuary. Florida. USA. Environ Fluid Mech 10(1–2):197–211

    Article  Google Scholar 

  25. Hsu MH, Kuo AY, Kuo JT, Liu WC (1999) Procedure to calibrate and verify numerical models of estuarine hydrodynamics. J Hydraul Eng 125(2):166–182

    Article  Google Scholar 

  26. IPCC (2007) Climate change 2007: the physical science basis. In: Solomon S, Qin S, Manning M, Chen Z, Marquis M, Averyt KB, Tignor M, Miller HL (eds) Contribution of working group 1 to the fourth assessment report of the intergovernmental panel on climate change. Cambridge University Press, Cambridge

  27. Jevrejeva S, Moore JC, Grinsted A, Woodworth PL (2008) Recent global sea level acceleration started over 200 year ago? Geophys Res Lett 35(8):L08715

  28. Ji ZG, Hu G, Shen J, Wan Y (2007) Three-dimensional modeling of hydrodynamic processes in the St. Luice estuary. Estuar Coast Shelf Sci 73(1–2):188–200

    Article  Google Scholar 

  29. Jorgensen BB, Richardson K (eds) (1996) Eutrophication in coastal marine ecosystems. Coastal and estuarine studies, vol 52. American Geophysical Union, Washington, DC

  30. Kelly JR (1997) Nitrogen flow and the interaction of Boston Harbor with Massachusetts Bay. Estuaries 20(2):119–128

    Article  Google Scholar 

  31. Kenov IA, Garcia AC, Neves R (2012) Residence time of water in the Mondego estuary (Portugal). Estuar Coast Shelf Sci 106:13–22

    Article  Google Scholar 

  32. Liu WC, Chen WB, Cheng RT, Hsu MH, Kuo AY (2007) Modeling the influence of river discharge on salt intrusion and residual circulation in Danshuei River estuary, Taiwan. Cont Shelf Res 27(7):900–921

    Article  Google Scholar 

  33. Liu WC, Chen WB, Hsu MH (2010) Different turbulence models for stratified flow and salinity. Proc Inst Civil Eng Marit Eng 163(3):117–133

    Google Scholar 

  34. Liu WC, Chen WB, Kuo JT, Wu C (2008) Numerical determination of residual time and age in a partially mixed estuary using three-dimensional hydrodynamic model. Cont Shelf Res 28(5):1068–1088

    Article  Google Scholar 

  35. Liu Z, Wang H, Guo X, Wang Q, Gao H (2012) The age of Yellow River water in the Bohai Sea. J Geophys Res 117(C11):C11006

    Article  Google Scholar 

  36. Lucas LV (2010) Implications of estuarine transport for water quality. In: Valle-Levinson A (ed) Contemporary issues in estuarine physics. Cambridge University Press, Cambridge, pp. 273–306

  37. Monbet Y (1992) Control of phytoplankton biomass in estuaries: a comparative analysis of microtidal and macrotidal estuaries. Estuaries 15(4):563–571

    Article  Google Scholar 

  38. National Science and Technology Center for Disaster Reduction, Taiwan (2011) Scientific report for Taiwan climate change. 404pp.

  39. Nicholls RJ, Cazenave A (2010) Sea-Level rise and its impact on coastal zone. Science 328(5985):1517–1520

    Article  Google Scholar 

  40. Peltier WR (2009) Closure of the budge of global sea level rise over the GRACE era: the importance of magnitudes of the required corrections for global glacial isostatic adjustment. Quat Sci Rev 28(17–18):1658–1674

    Article  Google Scholar 

  41. Pfeffer WT, Harper JT, O’Neel S (2008) Kinematic constraints on glacier contributions to 21-century sea-level rise. Science 321:1340–1343

    Article  Google Scholar 

  42. Poff NL, Brinson MM, Day Jr, JW (2002) Aquatic ecosystems and global climate change. Pew Center on Global Change

  43. Ribbe J, Wolff JO, Staneva J, Grawe U (2008) Assessing water renewal time scales for marine environments from three-dimensional modelling: a case study for Hervey Bay, Australia. Environ Model Softw 23(10–11):1217–1228

    Article  Google Scholar 

  44. Rice KC, Hong B, Shen J (2012) Assessment of salinity intrusion in the James and Chickahominy Rivers as a result of simulated sea-level rise in Chesapeake Bay, Esat Coast, USA. J Environ Manage 111:61–69

    Article  Google Scholar 

  45. Shchepetkin AF, McWilliams JC (2003) A method for computing horizontal pressure-gradient force in an oceanic model with a nonaligned vertical coordinate. J Geophys Res 108(C3):3090

    Article  Google Scholar 

  46. Shen J, Wang HV (2007) Determining the age of water and long-term transport timescale of the Chesapeake Bay. Estuar Coast Shelf Sci 74(4):585–598

    Article  Google Scholar 

  47. Snay R, Cline M, Dillinger W, Foote R, Hilla S, Kass W, Ray J, Rohde J, Sella G, Soler T (2007) Using global positions system-derived crustal velocities to estimate rates of absolute sea level change from North American tidal gauge records. J Geophys Res 112(B4):B04409

    Google Scholar 

  48. Takeoka H (1984) Fundamental concepts of exchange and transport time scales in a coastal sea. Cont Shelf Res 3(3):311–326

    Article  Google Scholar 

  49. Umlauf L, Buchard H (2003) A generic length-scale equation for geophysical turbulence models. J Mar Res 61(2):235–265

    Article  Google Scholar 

  50. Valentim JM, Vaz N, Silva H, Duarte B, Cacador I, Dias JM (2013) Sea level rise impact in residual circulation in Tagus estuary and Ria de Aveiro lagoon. J Coast Res 65(SI):1981–1986

    Google Scholar 

  51. Vermeer M, Rahmstorf S (2009) Global sea level linked to global temperature. Proc Natl Acad Sci 106(51):21527–21532

    Article  Google Scholar 

  52. Wang B, Giddings SN, Fringer OB, Gross ES, Fong DA, Monismith SG (2011) Modeling and understanding turbulent mixing in a macrotidal salt wedge estuary. J Geophys Res 116:C02036

    Google Scholar 

  53. Wang Y, Shen J, He Q (2010) A numerical model study of the transport timescale and change of estuarine circulation due to waterway constructions in the Changjiang Estuary, China. J Mar Syst 82(3):154–170

    Article  Google Scholar 

  54. Whitehead PG, Wilby RL, Battarbee RW, Kernan M, Wade AJ (2009) A review of the potential impacts of climate change on surface water quality. Hydrolog Sci J 54(1):101–123

    Article  Google Scholar 

  55. Xu J, Long W, Wiggert J, Lanerolle L, Brown C, Murtugudde R, Hood R (2011) Climate forcing and salinity variability in Chesapeake Bay, USA. Estuar Coast 35(1):237–261

    Article  Google Scholar 

  56. Yang Z, Khangaonkar T (2009) Modeling tidal circulation and stratification in Skagit River estuary using an unstructured grid ocean model. Ocean Model 28(1–3):34–49

    Article  Google Scholar 

  57. Yu YF, Yu YX, Zuo JC, Wan ZW, Chen ZY (2003) Effect of sea level variation on tidal characteristic values for the East China Sea. China Ocean Eng 17(3):369–382

    Google Scholar 

  58. Zhang WG, Wilkin JL, Schofield OME (2010) Simulation of water age and residence time in the New York Bight. J Phys Oceanogr 40(5):965–982

    Article  Google Scholar 

  59. Zhang YL, Baptista AM (2008) SELFE: A semi-implicit Eulerian–Lagrangian finite-element model for cross-scale ocean circulation. Ocean Model 21(3–4):71–96

    Article  Google Scholar 

  60. Zimmerman JTF (1976) Mixing and flushing of tidal embayment in the western Dutch Wadden Sea. Part I: description of salinity and calculation of mixing time scales. Neth J Sea Res 10(2):149–191

    Article  Google Scholar 

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Acknowledgments

The project under which this study was conducted is supported by the National Science Council, Taiwan, under Grant No. NSC 101-2625-M-239-001. The authors would like to express their thanks to the Taiwan Water Resources Agency and Center Weather Bureau for providing the observational data.

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Correspondence to Wen-Cheng Liu.

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Chen, WB., Liu, WC. & Hsu, MH. Modeling assessment of a saltwater intrusion and a transport time scale response to sea-level rise in a tidal estuary. Environ Fluid Mech 15, 491–514 (2015). https://doi.org/10.1007/s10652-014-9367-y

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