Kinetic Models for Representing the Uptake of Radionuclides in Plants

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Abstract

Traditionally, radionuclide accumulation in plants due to uptake from soil has been estimated using empirically measured concentration ratios. However, over the last 40 years, there has been an increasing interest in representing radionuclide transport in soils and uptake by plants using a kinetic approach. Here, a brief account is given of the processes involved and of the fundamental equations used to represent the kinetics of radionuclide transport and plant uptake. In this account, the focus is on developing an appropriate representation of soil hydrology to provide water fluxes for use in the advective–dispersive transport equation. Following this account, a description is given of various models that have been used to represent radionuclide transport in soil–plant systems. These models illustrate how a wide variety of factors such as sorption, active uptake by roots, plant growth, changing hydrological conditions and volatilisation have been taken into account. In addition, a summary is given of how plant uptake of 14C can be estimated when the 14C enters the soil zone from below as either carbon dioxide or methane.

Keywords

Radionuclides Soil–plant model Kinetics Soil hydrology Bioturbation Volatilisation Carbon-14 
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References

  1. Aulagnier C, Le Dizès S, Maro D, Hebert D, Lardy R, Martin R, Gonze MA (2012) Modelling the transfer of C-14 from the atmosphere to grass: a case study in a grass field near AREVA-NC La Hague. J Environ Radioact 112:52–59PubMedCrossRefGoogle Scholar
  2. Aulagnier C, Le Dizès S, Maro D, Hebert D, Lardy R, Martin R (2013) The TOCATTA-χ model for assessing 14C transfers to grass: an evaluation for atmospheric operational releases from nuclear facilities. J Environ Radioact 120:81–93PubMedCrossRefGoogle Scholar
  3. Barber SA (1984) Soil nutrient bioavailability: a mechanistic approach. Wiley, New YorkGoogle Scholar
  4. BIOPROTA (2014) Modelling approaches to C-14 in soil–plant systems and in aquatic environments: report of an international workshop, Version 5, Final, 25 Jan 2014. Available from http://www.bioprota.org/
  5. Bishop GP (1989) Review of biosphere information: biotic transport of radionuclides as a result of mass movement of soil by burrowing animals, UK Nirex Ltd report NSS/R194Google Scholar
  6. Bishop GP, Beetham CJ (1989) Biotic transport of radionuclides in soil as a result of the action of deep-rooted plant species, UK Nirex report NSS/R195Google Scholar
  7. Bosson E, Sassner M, Sabel U, Gustafsson LG (2010) Modelling of present and future hydrology and solute transport at Forsmark: SR-site biosphere, Svensk Kärnbränslehantering AB, Swedish Nuclear Fuel and Waste Management Co., Box 250, SE-101 24 Stockholm, Sweden, SKB report SKB R-10-02Google Scholar
  8. Bosson E, Sabel U, Gustafsson LG, Sassner M, Destouni G (2012a) Influences of shifts in climate, landscape, and permafrost on terrestrial hydrology. J Geophys Res Atmos 117:D05120CrossRefGoogle Scholar
  9. Bosson E, Selroos JO, Stigsson M, Gustafsson LG, Destouni G (2012b) Exchange and pathways of deep and shallow groundwater in different climate and permafrost conditions using the Forsmark site, Sweden, as an example catchment. Hydrol J 21:225–237Google Scholar
  10. Brooks RH, Corey AT (1964) Hydraulic properties of porous medium, Colorado State University (Fort Collins). Hydrology Paper No. 3Google Scholar
  11. Burne S, Wheater HS, Butler AP, Johnston PM, Wadey P, Shaw G, Bell JNB (1994) Radionuclide transport above a near-surface water table I. An automated lysimeter facility for near-surface contaminant transport studies. J Environ Qual 23:1318–1329CrossRefGoogle Scholar
  12. Coughtrey PJ, Thorne MC (1983) Radionuclide distribution and transport in terrestrial and aquatic ecosystems: A critical review of data, Vol 1, A A Balkema, Rotterdam, NetherlandsGoogle Scholar
  13. Epstein E (1966) Dual patterns of ion adsorption by plant cells and by plants. Nature 212:1324–1327CrossRefGoogle Scholar
  14. Fio JL, Fujii R, Deverel SJ (1991) Selenium mobility and distribution in irrigated and non-irrigated alluvial soils. Soil Sci Societ Ameri J 55:1310–1320Google Scholar
  15. Fredlund DG, Xing A (1994) Equations for the soil-water characteristic curve. Can Geotech J 31:521–532CrossRefGoogle Scholar
  16. Gerwitz A, Page ER (1974) An empirical mathematical model to describe plant root systems. J App Ecol 11:773–781CrossRefGoogle Scholar
  17. IAEA (2010) Handbook of parameter values for the prediction of radionuclide transfer in terrestrial and freshwater environments, IAEA Technical Reports Series No. 472, International Atomic Energy Agency, Vienna, AustriaGoogle Scholar
  18. Institute of Hydrology (1995) Report No. 126, Hydrology of soil types: a hydrologically based classification of the soils of the United Kingdom, Institute of Hydrology, Wallingford, UKGoogle Scholar
  19. Jansson PE, Karlberg L (2001) Coupled heat and mass transfer model for soil-plant-atmosphere systems, Royal Institute of Technology, Department of Civil and Environmental Engineering, StockholmGoogle Scholar
  20. Klos R, Limer L, Shaw G, Pérez-Sánchez D, Xu S (2014) Advanced spatio-temporal modelling in long-term radiological assessment models—radionuclides in the soil column. J Radiol Prot 34:31–50PubMedCrossRefGoogle Scholar
  21. Le Dizès S (2005) Modelling chronic and accidental releases of carbon-14 to the environment. Radioprotection 40(S1):S771–S777CrossRefGoogle Scholar
  22. Le Dizès S, Maro D, Hebert D, Gonze MA, Aulagnier C (2012) TOCATTA: A dynamic transfer model of C-14 from the atmosphere to soil-plant systems. J Environ Radioact 105:48–59PubMedCrossRefGoogle Scholar
  23. Limer LMC, Thorne MC (2010) NDA RWMD Biosphere assessment studies FY2009-2010: the biosphere transport, distribution and radiological impact of Se-79 released in groundwater from a geological disposal facility, Quintessa report to NDA RWMD QRS-1378 W-4; Version 2.0Google Scholar
  24. Limer LMC, Thorne MC, Cummings R (2011) Consideration of canopy structure in modelling 14C-labelled gas behaviour in the biosphere for human dose assessments. Radioprotection 46:S409–S415CrossRefGoogle Scholar
  25. Maul P, Robinson PC, Walke RC, Thorne MC, Evans E (2005) Development and implementation of a new, dynamic, soil-plant-animal model for use in assessing the impacts on terrestrial food chains of routine and accidental atmospheric releases of contaminants, In: Jackson D, Thorne MC, Ramsay M (eds) Cardiff 2005, Proceedings of the Seventh SRP International Symposium, Society for Radiological Protection, UK, pp 244–249Google Scholar
  26. Mobbs S, Shaw G, Norris S, Marang L, Sumerling T, Albrecht A, Xu S, Thorne M, Limer L, Smith K, Smith G (2013) Intercomparison of Models of 14C in the Biosphere for Solid Radioactive Waste Disposal Radiocarbon 55(2–3):814–825Google Scholar
  27. Moore JV (2004) Solid-liquid partitioning of radioactive selenium—measurement and application in risk modelling, M.Sc. Thesis, Faculty of Life Sciences, Imperial College of Science, Technology and Medicine, London, UKGoogle Scholar
  28. Mualem Y (1976) A new model of predicting hydraulic conductivity of unsaturated porous media. Water Resour Res 12:513–522CrossRefGoogle Scholar
  29. Müller-Lehmans H, van Dorp F (1996) Bioturbation as a mechanism for radionuclide transport in soil: relevance of earthworms. J Environ Radioact 31:7–20CrossRefGoogle Scholar
  30. Neal RH (1995) Selenium. In: Alloway BJ (ed) Heavy metals in soils, 2nd edn. Blackie Academic, LondonGoogle Scholar
  31. Nye PH (1966) The effect of nutrient intensity and buffering power of a soil, and the absorbing power, size and root hairs of a root, on nutrient absorption by diffusion. Plant Soil 25:81–105CrossRefGoogle Scholar
  32. Nye PH, Tinker PB (1977) Solute movement in the soil-root system. Blackwell Scientific Publications, OxfordGoogle Scholar
  33. Pérez-Sánchez D, Thorne MC, Limer LMC (2012) A mathematical model for the behaviour of Se-79 in soils and plants that takes account of seasonal variations in soil hydrology. J Radiol Prot 32:11–37PubMedCrossRefGoogle Scholar
  34. Pérez-Sánchez D, Thorne MC (2014) Modelling the behaviour of uranium-series radionuclides in soils and plants taking into account seasonal variations in soil hydrology. J Environ Radioact 131:19–30PubMedCrossRefGoogle Scholar
  35. Piqué A, Arcos D, Grandia F, Molinero J, Duro L, Berglund S (2013) Conceptual and numerical modeling of radionuclide transport and retention in near-surface systems. Ambio 42:476–487PubMedCentralPubMedCrossRefGoogle Scholar
  36. Richards LA (1931) Capillary conduction of liquids through porous mediums. Physics 1:318–333CrossRefGoogle Scholar
  37. Robinson PC, Watson CE, Maul PR, Evans E (2005) Implementation of the PRISM 2.0 models and some illustrative applications. In: Jackson D, Thorne MC, Ramsay M (eds) Cardiff 2005, Proceedings of the Seventh SRP International Symposium, Society for Radiological Protection, UKGoogle Scholar
  38. Schaap MG, Leij FJ (2000) Improved prediction of unsaturated hydraulic conductivity with the Mualem-van Genuchten model. Soil Sci Soc Amer J 64:843–851CrossRefGoogle Scholar
  39. Sheppard SC, Sheppard MI (2008) Volatilization of selenium: factors affecting the rate of volatilization, technical memorandum prepared for the Canadian Nuclear Waste Management Organisation (NWMO), Revision R0, December 2008Google Scholar
  40. Thorne MC, Maul PR Robinson PC, Walke RC (2005) The scientific basis of the PRISM 2.0 soil, plant and animal models. In: Jackson D, Thorne MC, Ramsay M (eds) Cardiff 2005, Proceedings of the Seventh SRP International Symposium, Society for Radiological Protection, UKGoogle Scholar
  41. Towler GH, Thorne MC, Walke RC (2011) Catchment modelling in support of post-closure performance assessment, Quintessa Limited report for NDA RWMD QRS-1378 W-2, Version 1.2, February 2011Google Scholar
  42. van Genuchten MT (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Societ Ameri J 44:892–898CrossRefGoogle Scholar
  43. Walke RC, Thorne MC, Watson CE, Limer LMC (2012a) The PRISM food chain modelling software: version 3.3 technical report. Quintessa report to the Food Standards Agency (FSA) QRS-3004G-1, Version 1.0, April 2012Google Scholar
  44. Walke RC, Thorne MC, Limer LMC (2012b) The PRISM food chain modelling software: version 3.3 data report, Quintessa report to the Food Standards Agency (FSA) QRS-3004G-2, Version 1.0, April 2012Google Scholar
  45. Watson C (2012) The PRISM food chain modelling software: version 3.3 user guide, Quintessa report to the Food Standards Agency (FSA) QRS-3004G-3, Version 1.0, April 2012Google Scholar
  46. Wheater HS, Bell JNB, Butler AP, Jackson BM, Ciciani L, Ashworth DJ, Shaw GG (2007) Biosphere implications of deep disposal of nuclear waste: the upwards migration of radionuclides in vegetated soils. Imperial College Press, LondonGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Mike Thorne and Associates LimitedBishop AucklandUK

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