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Diffusional mass transfer coefficient at the water–sediment interface for wind-induced flow in very shallow lagoons

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Abstract

Very shallow lagoons that are a few centimeters deep are common in the arid Andes of Northern Chile, Argentina, Bolivia and Perú. The dynamics of these lagoons are dominated by the water–sediment interface (WSI) and strong afternoon winds. Although many studies have examined the diffusional mass transfer coefficients (k t ) of open channel flows, estimates for wind-induced flows are still unknown. The aim of this article is to propose and validate an analytical expression for computing k t at the WSI for wind-induced flow. The laboratory measurements were conducted in a wind tunnel with a water tank of variable depth located at its downwind end. Natural muddy sediments were placed in the middle of the tank so that the dissolved oxygen (DO) was consumed in the sediments. The diffusional mass transfer coefficient that characterizes the DO uptake in the sediment was obtained from DO micro-profiles measured with an OX-25 Unisense microelectrode. Water velocity profiles were measured with a 2D side-view Sontek acoustic doppler velocimetry (ADV), and the wind shear velocity was computed based on wind velocity profiles that were measured with an Extech hot-wire anemometer. A total of 16 experiments were conducted with different water depths and wind shear stresses. The constants required by the model were determined from these experiments, and the analytical expression was successfully validated by the laboratory observations. The analytical expression obtained for computing k t was also validated with field observations that were conducted in October, 2012, in Salar del Huasco, Northern Chile (20.274° S, 68.883° W, 3800 m above sea level). The comparison between the observed and predicted values of k t provides a determination coefficient of r 2 = 0.48 and a p value < 0.01. The results show that the value of k t for wind-induced flow is proportional to the wind shear velocity and the inverse of the Reynolds number of the wind-induced current.

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References

  1. Boudreau BP, Jørgensen BB (2001) The benthic boundary layer: transport processes and biogeochemistry. Oxford University Press, Oxford

    Google Scholar 

  2. Brand A, Dinkel C, Wehrli B (2009) Influence of the diffusive boundary layer on solute dynamics in the sediments of a seiche-driven lake: a model study. J Geophys Res 114:G01010. doi:10.1029/2008JG000755

    Article  Google Scholar 

  3. Brennen CE, Imberger J (2014) The wave-induced solute flux from submerged sediment. Environ Fluid Mech 14:221–234. doi:10.1007/s10652-013-9307-2

    Article  Google Scholar 

  4. Bryant L, Lorrai C, McGinnis D, Brand A, Wüest A, Little J (2010) Variable sediment oxygen uptake in response to dynamic forcing. Limnol Oceanogr 55:950–964

    Article  Google Scholar 

  5. Bryant L, McGinnis D, Larrai C, Brand A, Little J, Wüest A (2010) Evaluating oxygen fluxes using microprofiles from both sides of the sediment–water interface. Limnol Oceanogr Methods 8:610–627

    Article  Google Scholar 

  6. Bouldin DR (1968) Methods for describing the diffusion of oxygen ando ther mobile constituents across the mud–water interface. J Ecol 56:77–87

    Article  Google Scholar 

  7. Csanady GT (2004) Air–sea interaction. Cambridge University Press, Cambridge

    Google Scholar 

  8. Dade WB (1993) Near-bed turbulence and hydrodynamic control of diffusional mass transfer at the sea floor. Limnol Oceanogr 38:52–69

    Article  Google Scholar 

  9. Dade WB, Hogg AJ, Boudreau BP (2001). Physics of flow above the sediment-water interface. Pages 4–43 of: Gualtieri C, Mihailovic DT (eds), Fluid mechanics of environmental interfaces. Taylor & Francis

  10. de la Fuente A, Niño Y (2010) Temporal and spatial features in the thermo-hydrodynamics of a shallow salty lagoon in Northern Chile. Limnol Oceanogr 55:279–288

    Article  Google Scholar 

  11. de la Fuente A (2014) Heat and dissolved oxygen exchanges between the sediment and water column in a shallow salty lagoon. J Geophys Res Biogeosci 119:596–613. doi:10.1002/2013JG002413

    Article  Google Scholar 

  12. de la Fuente A (2015) Methodology for analyzing dissolved oxygen consumption in benthic chambers. J Environ Eng 141:04014098

    Article  Google Scholar 

  13. Dejoux C (1993) Benthic invertebrates of some saline lakes of the SudLipez region, Bolivia. Hydrobiologia 267:257–267

    Article  Google Scholar 

  14. Fischer H, List E, Koh R, Imberger J, Brooks N (1979) Mixing in inland and coastal waters. Academic Press, New York

    Google Scholar 

  15. Garratt JR (1992) The atmospheric boundary layer. Cambridge University Press, Cambridge

    Google Scholar 

  16. Glud RN, Berg P, Fossing H, Jørgensen BB (2007) Effect of the diffusive boundary layer on benthic mineralization and O-2 distribution: a theoretical model analysis. Limnol Oceanogr 52:547–557

    Article  Google Scholar 

  17. de Herrera V, Gregori I, Pinochet H (2009) Assessment of trace elements and mobility of arsenic and manganese in lagoon sediments of the salars of Huasco and Coposa, Chilean Altplano. J Chil Chem Soc 54:1565

    Google Scholar 

  18. Higashino M, Stefan H (2012) Model of turbulence penetration into a suspension layer on a sediment bed and effect on vertical solute transfer. Environ Fluid Mech 12:451–469

    Article  Google Scholar 

  19. Hondzo M, Feyaerts T, Donovan R, O’Connor BL (2005) Universal scaling of dissolved oxygen distribution at the sediment–water interface: a power law. Limnol Oceanogr 50:1667–1676

    Article  Google Scholar 

  20. Jørgensen B, Revsbech N (1985) Diffusive boundary layers and the oxygen uptake of sediment and detritus. Limnol Oceanogr 30:111–122

    Article  Google Scholar 

  21. Kampf S, Tyler S, Ortiz C, Muñoz J, Adkins P (2005) Evaporation and land surface energy budget at the Salar de Atacama, Northern Chile. J Hydrol 310:236–252

    Article  Google Scholar 

  22. Kühl M, Jørgensen BB (1992) Microsensor measurements of sulfate reduction and sulfide oxydation in compact microbial communities of aerobic biofilms. Appl Environ Microbiol 58:1164–1174

    Google Scholar 

  23. Lorke A, Muller B, Maerki M, Wuest A (2003) Breathing sediments: the control of diffusive transport across the sediment-water interface by periodic boundary-layer turbulence. Limnol Oceanogr 48(6):2077–2085

    Article  Google Scholar 

  24. Magnaudet J, Thais L (1995) Orbital rotational motion and turbulence below laboratory wind water waves. J Geophys Res 100:757–771

    Article  Google Scholar 

  25. Murphy AH (1988) Skill Scores based on the mean square error and their relationships to the correlation coefficient. Mon Weather Rev 116:2417–2424

    Article  Google Scholar 

  26. Nakamura Y, Stefan HG (1994) Effect of flow velocity on sediment oxygen demand: theory. J Environ Eng 120:996–1016

    Article  Google Scholar 

  27. Nezu I, Nakagawa H (1993). Turbulence in Open-Channel Flows.Balkema

  28. O’Connor BL, Hondzo M (2008) Dissolved oxygen transfer to sediments by sweep and eject motions in aquatic environments. Limnol Oceanogr 53(2):566

    Article  Google Scholar 

  29. Ordoñez C, de la Fuente A, Díaz P (2015) Modeling the influence of benthic primary production on oxygen transport through the water–sediment interface. Ecol Model 311:1–10

    Article  Google Scholar 

  30. Rasmussen H, Jørgensen BB (1992) Microelectrode study of seasonal oxygen uptake in a coastal sediment: role of molecular diffusion. Mar Ecol Prog Ser 81:289–303

    Article  Google Scholar 

  31. Revsbech N, Jørgensen B, Brix O (1981) Primary production of microalgae in sediments measured by oxygen microprofile H14CO3-fixation, and oxygen exchange methods. Limnol Oceanogr 26:717–730

    Article  Google Scholar 

  32. Spigel R, Imberger J (1980) The classification of mixed-layer dynamics in lakes of small to medium size. J Phys Oceanogr 10:1104–1121

    Article  Google Scholar 

  33. Steinberger N, Hondzo M (1999) Diffusional mass transfer at sediment-water interface. J Environ Eng 125:192–200

    Article  Google Scholar 

  34. Thais L, Magnaudet J (1996) Turbulent structure beneath surface gravity waves sheared by the wind. J Fluid Mech 328:313–344

    Article  Google Scholar 

  35. Williams W, Carrick T, Bayly I, Green J, Berbst D (1995) Invertebrates in salt lakes of the Bolivian Altiplano. Int J Salt Lakes Res 4:65–77

    Article  Google Scholar 

  36. Zuñiga LR, Campos V, Pinochet H, Prado B (1991) A limnological reconnaissance of Lake Tevenquiche, Salar de Atacama Chile. Hydrobiologia 210:1–2

    Article  Google Scholar 

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Acknowledgments

This study was financed by the Fondecyt projects number 11100306 and 1140821. We also would like to thank to Aldo Tamburrino for his helpful comments.

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Authors and Affiliations

  1. Departamento de Ingeniería Civil, Universidad de Chile, Santiago, Chile

    Alberto de la Fuente, César Ordóñez & Rodrigo Pérez

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  1. Alberto de la Fuente
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  2. César Ordóñez
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  3. Rodrigo Pérez
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Correspondence to Alberto de la Fuente.

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de la Fuente, A., Ordóñez, C. & Pérez, R. Diffusional mass transfer coefficient at the water–sediment interface for wind-induced flow in very shallow lagoons. Environ Fluid Mech 16, 539–558 (2016). https://doi.org/10.1007/s10652-015-9437-9

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