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Effects of bedform migration on nutrient fluxes at the sediment–water interface: a theoretical analysis

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Abstract

Nutrient fluxes at the sediment–water interface are essential for water quality and aquatic ecosystems. In this study, a unified expression for the sediment nutrient flux under different controlling modes is proposed by analytically solving the first-order linear partial differential equations describing nutrient transport in the sediment layer and overlying water. In particular, the analytical expression for the sediment nutrient flux due to bedform migration is derived, and the effects of bedform parameters, water depth, and sediment size are explored. With increasing flow velocity, the controlling mode of the sediment nutrient flux changes from diffusion to sand wave motion and then bed erosion, resulting in a significant increase in the flux. The water depth and sediment size indirectly affect the sediment nutrient flux by changing the critical velocity and the dimension and migration velocity of the sand waves. The physical meaning of each term of the analytical solution can be distinguished, which is beneficial for exploring the flux exchange at the sediment–water interface in mobile beds.

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References

  1. Grenz C, Cloern JE, Hager SW, Cole BE (2000) Dynamics of nutrient cycling and related benthic nutrient and oxygen fluxes during a spring phytoplankton bloom in South San Francisco Bay (USA). Mar Ecol Prog Ser 197:67–80

    Article  Google Scholar 

  2. Pratihary AK, Naqvi SWA, Naik H, Thorat BR, Narvenkar G, Manjunatha BR, Rao VP (2009) Benthic fluxes in a tropical Estuary and their role in the ecosystem. Estuar Coast Shelf S 85:387–398

    Article  Google Scholar 

  3. Kraal P, Burton ED, Rose AL, Cheetham MD, Bush RT, Sullivan LA (2013) Decoupling between water column oxygenation and benthic phosphate dynamics in a shallow eutrophic estuary. Environ Sci Technol 47:3114–3121

    Article  Google Scholar 

  4. Loh PS, Molot LA, Nurnberg GK, Watson SB, Ginn B (2013) Evaluating relationships between sediment chemistry and anoxic phosphorus and iron release across three different water bodies. Inland Waters 3:105–118

    Article  Google Scholar 

  5. Mu D, Yuan DK, Feng H, Xing FW, Teo FY, Li SZ (2017) Nutrient fluxes across sediment-water interface in Bohai Bay Coastal Zone, China. Mar Pollut Bull 114:705–714

    Article  Google Scholar 

  6. Søndergaard M, Jensen JP, Jeppesen E (2003) Role of sediment and internal loading of phosphorus in shallow lakes. Hydrobiologia 506:135–145

    Article  Google Scholar 

  7. Smolders AJP, Lamers LPM, Lucassen ECHET, Van der Velde G, Roelofs JGM (2006) Internal eutrophication: how it works and what to do about it–A review. Chem Ecol 22:93–111

    Article  Google Scholar 

  8. Ding SM, Chen MS, Gong MD, Fan XF, Qin BQ, Xu H, Gao SS, Jin ZF, Tsang DCW, Zhang CS (2018) Internal phosphorus loading from sediments causes seasonal nitrogen limitation for harmful algal blooms. Sci Total Environ 625:872–884

    Article  Google Scholar 

  9. Devol AH, Christensen JP (1993) Benthic fluxes and nitrogen cycling in sediments of the continental-margin of the Eastern North Pacific. J Mar Res 51:345–372

    Article  Google Scholar 

  10. Aigars J, Poikane R, Dalsgaard T, Eglite E, Jansons M (2015) Biogeochemistry of N, P and SI in the Gulf of Riga surface sediments: implications of seasonally changing factors. Cont Shelf Res 105:112–120

    Article  Google Scholar 

  11. Oehler T, Martinez R, Schuckel U, Winter C, Kroncke I, Schluter M (2015) Seasonal and spatial variations of benthic oxygen and nitrogen fluxes in the Helgoland Mud Area (southern North Sea). Cont Shelf Res 106:118–129

    Article  Google Scholar 

  12. Cerco CF (1989) Measured and modeled effects of temperature, dissolved-oxygen and nutrient concentration on sediment-water nutrient exchange. Hydrobiologia 174:185–194

    Article  Google Scholar 

  13. Moore PA, Reddy KR (1994) Role of Eh and pH on phosphorus geochemistry in sediments of Lake Okeechobee, Florida. J Environ Qual 23:955–964

    Article  Google Scholar 

  14. Müller S, Mitrovic SM, Baldwin DS (2016) Oxygen and dissolved organic carbon control release of N, P and Fe from the sediments of a shallow, polymictic lake. J Soil Sediment 16:1109–1120

    Article  Google Scholar 

  15. Serpetti N, Witte UFM, Heath MR (2016) Statistical modeling of variability in sediment-water nutrient and oxygen fluxes. Front Earth Sc–Switz 4:65. https://doi.org/10.3389/feart.2016.00065

    Article  Google Scholar 

  16. Wang H, Appan A, Gulliver JS (2003) Modeling of phosphorus dynamics in aquatic sediments: i–Model development. Water Res 37:3928–3938

    Article  Google Scholar 

  17. Thouvenot M, Billen G, Garnier J (2007) Modelling nutrient exchange at the sediment-water interface of river systems. J Hydrol 341:55–78

    Article  Google Scholar 

  18. Brady DC, Testa JM, DiToro DM, Boynton WR, Kemp WM (2013) Sediment flux modeling: calibration and application for coastal systems. Estuar Coast Shelf S 117:107–124

    Article  Google Scholar 

  19. Clark JB, Long W, Hood RR (2017) Estuarine sediment dissolved organic matter dynamics in an enhanced sediment flux model. J Geophys Res–Biogeo 122:2669–2682

    Article  Google Scholar 

  20. Ignatieva NV (1996) Distribution and release of sedimentary phosphorus in Lake Ladoga. Hydrobiologia 322:129–136

    Article  Google Scholar 

  21. Portielje R, Lijklema L (1999) Estimation of sediment-water exchange of solutes in Lake Veluwe, the Netherlands. Water Res 33:279–285

    Article  Google Scholar 

  22. Fisher MM, Reddy KR, James RT (2005) Internal nutrient loads from sediments in a shallow, subtropical lake. Lake Reserv Manage 21:338–349

    Article  Google Scholar 

  23. Marinelli RL, Jahnke RA, Craven DB, Nelson JR, Eckman JE (1998) Sediment nutrient dynamics on the South Atlantic Bight continental shelf. Limnol Oceanogr 43:1305–1320

    Article  Google Scholar 

  24. O’Connor BL, Harvey JW (2008) Scaling hyporheic exchange and its influence on biogeochemical reactions in aquatic ecosystems. Water Resour Res. https://doi.org/10.1029/2008WR007160

    Article  Google Scholar 

  25. Han X, Fang HW, He GJ, Reible D (2018) Effects of roughness and permeability on solute transfer at the sediment water interface. Water Res 129:39–50

    Article  Google Scholar 

  26. Emerson S, Jahnke R, Heggie D (1984) Sediment-water exchange in shallow-water estuarine sediments. J Mar Res 42:709–730

    Article  Google Scholar 

  27. Nogaro G, Steinman AD (2014) Influence of ecosystem engineers on ecosystem processes is mediated by lake sediment properties. Oikos 123:500–512

    Article  Google Scholar 

  28. Reddy KR, Fisher MM, Ivanoff D (1996) Resuspension and diffusive flux of nitrogen and phosphorus in a hypereutrophic lake. J Environ Qual 25:363–371

    Article  Google Scholar 

  29. Huang L, Fang HW, Fazeli M, Chen YS, He GJ, Chen DY (2015) Mobility of phosphorus induced by sediment resuspension in the three Gorges Reservoir by flume experiment. Chemosphere 134:374–379

    Article  Google Scholar 

  30. Wengrove ME, Foster DL, Kalnejais LH, Percuoco V, Lippmann TC (2015) Field and laboratory observations of bed stress and associated nutrient release in a tidal estuary. Estuar Coast Shelf S 161:11–24

    Article  Google Scholar 

  31. Thomas DB, Schallenberg M (2008) Benthic shear stress gradient defines three mutually exclusive modes of non-biological internal nutrient loading in shallow lakes. Hydrobiologia 610:1–11

    Article  Google Scholar 

  32. Kleeberg A, Herzog C (2014) Sediment microstructure and resuspension behavior depend on each other. Biogeochemistry 119:199–213

    Article  Google Scholar 

  33. Huang L, Fang HW, He GJ, Jiang HL, Wang CH (2016) Effects of internal loading on phosphorus distribution in the Taihu Lake driven by wind waves and lake currents. Environ Pollut 219:760–773

    Article  Google Scholar 

  34. Chien N, Wan ZH (1999). Mechanics of sediment transport. American Society of Civil Engineers (ASCE) Press, Reston, Virginia

  35. Dey S (2014) Fluvial hydrodynamics: Hydrodynamic and sediment transport phenomena. Springer, Berlin

    Book  Google Scholar 

  36. Precht E, Franke U, Polerecky L, Huettel M (2004) Oxygen dynamics in permeable sediments with wave-driven pore water exchange. Limnol Oceanogr 49:693–705

    Article  Google Scholar 

  37. Ahmerkamp S, Winter C, Krämer K, de Beer D, Janssen F, Friedrich J, Kuypers MMM, Holtappels M (2017) Regulation of benthic oxygen fluxes in permeable sediments of the coastal ocean. Limnol Oceanogr 62:1935–1954

    Article  Google Scholar 

  38. Zlatanovic S, Fabian J, Mendoza-Lera C, Woodward KB, Premke K, Mutz M (2017) Periodic sediment shift in migrating ripples influences benthic microbial activity. Water Resour Res 53:4741–4755. https://doi.org/10.1002/2017WR020656

    Article  Google Scholar 

  39. Loucks DP, van Beek E (2017) Water resource systems planning and management An introduction to Methods, Models, and Applications. Springer, Switzerland

    Google Scholar 

  40. Marion A, Bellinello M, Guymer I, Packman A (2002) Effect of bed form geometry on the penetration of nonreactive solutes into a streambed. Water Resour Res. https://doi.org/10.1029/2001WR000264

    Article  Google Scholar 

  41. Jin GQ, Tang HW, Gibbes B, Li L, Barry DA (2010) Transport of nonsorbing solutes in a streambed with periodic bedforms. Adv Water Resour 33:1402–1416

    Article  Google Scholar 

  42. Bardini L, Boano F, Cardenas MB, Revelli R, Ridolfi L (2012) Nutrient cycling in bedform induced hyporheic zones. Geochim Cosmochim Ac 84:47–61

    Article  Google Scholar 

  43. Ahmerkamp S, Winter C, Janssen F, Kuypers MMM, Holtappels M (2015) The impact of bedform migration on benthic oxygen fluxes. J Geophys Res–Biogeo 120:2229–2242

    Article  Google Scholar 

  44. Huang L, Fang HW, Reible D (2015) Mathematical model for interactions and transport of phosphorus and sediment in the three Gorges Reservoir. Water Res 85:393–403

    Article  Google Scholar 

  45. DiToro DM (2001) Sediment flux modeling. Wiley–Interscience, New York

    Google Scholar 

  46. Mantz PA (1992) Cohesionless, fine-sediment bed forms in shallow flows. J Hydraul Eng–ASCE 118:743–764

    Article  Google Scholar 

  47. van Rijn LC (1984) Sediment transport, part III: bed forms and alluvial roughness. J Hydraul Eng–ASCE 110:1733–1754

    Article  Google Scholar 

  48. Coleman SE, Melville BW (1994) Bed-form development. J Hydraul Eng–ASCE 120:544–560

    Article  Google Scholar 

  49. Janssen F, Cardenas MB, Sawyer AH, Dammrich T, Krietsch J, de Beer D (2012) A comparative experimental and multiphysics computational fluid dynamics study of coupled surface-subsurface flow in bed forms. Water Resour Res. https://doi.org/10.1029/2012WR011982

    Article  Google Scholar 

  50. Miles J, Thorpe A (2015) Bedform contributions to cross-shore sediment transport on a dissipative beach. Coast Eng 98:65–77

    Article  Google Scholar 

  51. Zhang RJ, Xie JH (1993) Sedimentation research in China: Systematic selections. China Water and Power Press, Beijing

    Google Scholar 

  52. Chabert J, Chauvin JL (1963) Formation de dunes et des rides dans les modèles fluviaux. Bulletin du Centre de Recherches et d’essais de Chatou 4:31–51

    Google Scholar 

  53. Garde RJ, Albertson ML (1959) Characteristics of bed forms and regimes of flow in alluvial channels (Rep. CER 59 RJG 9). Colorado State University, Fort Collins

  54. Qin BQ, Zhu GW, Zhang L, Luo LC, Gao G, Gu BH (2006) Estimation of internal nutrient release in large shallow Lake Taihu, China. Sci China Earth Sci 49(Supp. 1):38–50

    Article  Google Scholar 

  55. Luo LC, Qin BQ, Zhu GW, Sun XJ, Hong DL, Gao YJ, Xie R (2006) Nutrient fluxes induced by disturbance in Meiliang Bay of Lake Taihu. Sci China Earth Sci 49(Supp. 1):186–192

    Article  Google Scholar 

  56. Wang JJ, Pang Y, Li YP, Huang YW, Luo J (2015) Experimental study of wind induced sediment suspension and nutrient release in Meiliang Bay of Lake Taihu, China. Environ Sci Pollut Res 22:10471–10479

    Article  Google Scholar 

  57. Zhu GW, Qin BQ, Gao G (2005) Direct evidence of phosphorus outbreak release from sediment to overlying water in a large shallow lake caused by strong wind wave disturbance. Chinese Sci Bull 50:577–582

    Article  Google Scholar 

  58. You BS, Zhong JC, Fan CX, Wang TC, Zhang L, Ding SM (2007) Effects of hydrodynamics processes on phosphorus fluxes from sediment in large, shallow Taihu Lake. J Environ Sci 19:1055–1060

    Article  Google Scholar 

  59. Li ZH, Zhang WQ, Lei P, Shan BQ (2018) Distribution of nitrogen and phosphorus in sediments and estimation of the diffusion fluxes at river mouths of Western Chaohu Lake. Acta Sci Circum 38:2974–2982 (in Chinese)

    Google Scholar 

  60. Wang JF, Chen JA, Luo J, Zhang H, Yu PP (2018) Comparative study on quantitative estimations of phosphorus release flux from sediments of lake Hongfeng, Guizhou Province, China. Earth Environ 46:1–6 (in Chinese)

    Google Scholar 

  61. Du YH, Liu C, Chen KN, Gu XZ, Huang W, Wei Z (2018) Occurrence and internal loadings of nitrogen and phosphorus in the sediment of Lake Baiyangdian. J Lake Sci 30:1537–1551 (in Chinese)

    Article  Google Scholar 

  62. Wang ZQ, Li B, Liang RJ, Wang LZ (2013) Comparative study on endogenous release of nitrogen and phosphorus in Nansi Lake, China. Acta Sci Circum 33:487–493 (in Chinese)

    Google Scholar 

  63. Jensen M, Liu ZW, Zhang XF, Reitzel K, Jensen HS (2017) The effect of biomanipulation on phosphorus exchange between sediment and water in shallow, tropical Huizhou West Lake, China. Limnologica 63:65–73

    Article  Google Scholar 

  64. Boers PCM, van Hese O (1988) Phosphorus release from the peaty sediments of the Loosdrecht Lakes (the Netherlands). Wat Res 22:355–363

    Article  Google Scholar 

  65. Søndergaard M, Kristensen P, Jeppesen E (1992) Phosphorus release from resuspended sediment in the shallow and wind-exposed Lake Arresø, Denmark. Hydrobiologia 228:91–99

    Article  Google Scholar 

  66. Burnet SH, Wilhelm FM (2021) Estimates of internal loading of phosphorus in a western US reservoir using 3 methods. Lake Reserv Manage. https://doi.org/10.1080/10402381.2021.1923590

    Article  Google Scholar 

  67. Brito D, Ramos TB, Gonçalves MC, Morais M, Neves R (2018) Integrated modelling for water quality management in a eutrophic reservoir in south-eastern Portugal. Environ Earth Sci 77:40

    Article  Google Scholar 

  68. Horppila J, Holmroos H, Niemistö J, Massa I, Nygrén N, Schönach P, Tapio P, Tammeorg O (2017) Variations of internal phosphorus loading and water quality in a hypertrophic lake during 40 years of different management efforts. Ecol Eng 103:264–274

    Article  Google Scholar 

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Acknowledgements

This study was funded by the National Key Research and Development Program of China (No. 2018YFC0407601), 111 Project (No. B18031), and China Three Gorges Corporation (No. 201903145).

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Correspondence to Qifeng Gao or Hongwei Fang.

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Huang, L., Gao, Q., Fang, H. et al. Effects of bedform migration on nutrient fluxes at the sediment–water interface: a theoretical analysis. Environ Fluid Mech 22, 447–466 (2022). https://doi.org/10.1007/s10652-021-09816-3

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