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A simplified approach to evaluation of column experiments as a tool for determination of radionuclide transport parameters in rock-groundwater or soil-groundwater systems

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Abstract

The assessment of the ability of natural barriers to retain radionuclides and retard their transfer in groundwater requires knowledge of important transport parameters, the retardation and dispersion coefficients. The use of dynamic techniques is in this task more effective than that of batch technique, as the conditions of dynamic experiments better simulate the real systems, in which the contaminated groundwater is flowing through the bed of a porous (grained) solid material (crushed rock, soil, or sediment). Two techniques of the contaminant inlet, the pulse injection and step (continuous) inlet are obviously applied. Dynamic column experiments make possible to study the influence of sorption or desorption of studied contaminants on the velocity of their transport through the saturated or unsaturated bed. The transport parameters are determined in the course of evaluation of experimental data, which generally consists of the regression of breakthrough curve by selected analytical solution of the 1-D advection–dispersion equation. With the respect to the kinetics of the contaminant interaction with the surface of the solid phase, there are two basic groups of these solutions: the first responds to the equilibrium dynamics, and the second one to so-called non-equilibrium dynamics. In description of interaction, that implies the mathematical form of the solution of transport equation, it is further possible to specify both the equilibrium isotherm (linear or non-linear) and the type of kinetic equation (e.g., linear driving force model). In this paper, a set of simplified equilibrium dynamic models is presented, that could be recommended for the evaluation of an important range of column experiment in heterogeneous systems accomplished under the equilibrium dynamics conditions.

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References

  1. IAEA (1985) Deep underground disposal of radioactive wastes: near-field effects. Technical Report Series No. 251, Vienna

  2. Alexander WR, Smith PA, McKinley IG (2003) Modelling radionuclide transport in the geological environment. In: Scott EM (ed) Modelling radioactivity in the environment. Elsevier, Amsterdam, pp 109–145

    Chapter  Google Scholar 

  3. Barnett MO, Jardine PM, Brooks SC, Selim HM (2000) Adsorption and transport of uranium (VI) in subsurface media. Soil Sci Soc Am J 64:908–917

    Article  CAS  Google Scholar 

  4. Szenknect S, Ardois C, Gaudet JP, Barthes V (2005) Reactive transport of 85Sr in a Chernobyl sand column: static and dynamic experiments and modeling. J Contam Hydrol 76:139–165

    Article  CAS  Google Scholar 

  5. Melkior T, Yahiaoui S, Motellier S, Thoby D, Tevissen E (2005) Cesium sorption and diffusion in Bure mud rock samples. Appl Clay Sci 29:172–1860

    Article  CAS  Google Scholar 

  6. Palágyi Š, Vodičková H (2009) Sorption and desorption of 125I, 137Cs+, 85Sr2+ and 152,154Eu3+ on disturbed soils under dynamic flow and static batch conditions. J Radioanal Nucl Chem 280:3–14

    Article  Google Scholar 

  7. Palágyi Š, Laciok A (2006) Sorption, desorption and extraction of uranium from some sands under dynamic conditions. Czechoslov J Phys 56:D483–D492

    Article  Google Scholar 

  8. Palágyi Š, Vodičková H, Landa J, Palágyiová J, Laciok A (2009) Migration and sorption of 137Cs and 152,154Eu in crushed crystalline rocks under dynamic conditions. J Radioanal Nucl Chem 279:431–441

    Article  Google Scholar 

  9. IAEA (2003) Scientific and technical basis for geological disposal of radioactive wastes. Technical Report Series No. 413, Vienna

  10. Mell P, Megyeri J, Riess L, Máthé Z, Hámos G, Lázár K (2006) Diffusion of Sr, Cs, Co and I in argillaceous rock as studied by radiotracers. J Radioanal Nucl Chem 268:411–417

    Article  CAS  Google Scholar 

  11. Xu Z, Cai J-G, Pan B (2013) Review: mathematically modeling fixed-bed adsorption in aqueous systems. J Zhejiang Univ Sci A 14(3):155–176

    Article  CAS  Google Scholar 

  12. Riazi M, Kesthkar AR, Moosavian MA (2014) Batch and continuous fixed-bed column biosorption of thorium(IV) from aqueous solutions: equilibrium and dynamic modeling. J Radioanal Nucl Chem 301:493–503

    Article  CAS  Google Scholar 

  13. Kumar A, Rout S, Chopra MK, Mishra DG, Singhal RK, Ravi PM, Tripathi RM (2014) Modeling of 137Cs migration in cores of marine sediments of Mumbai Harbor Bay. J Radioanal Nucl Chem 301:615–626

    Article  CAS  Google Scholar 

  14. Likar A, Omahen G, Lipoglavsek M, Vidmar T (2001) A theoretical description of diffusion and migration of 137Cd in soil. J Environ Radioactivity 57:191–201

    Article  CAS  Google Scholar 

  15. Ozdural AR, Alkan A, Kerkhof PJAM (2004) Modeling chromatographic columns. Non-equilibrium packed-bed adsorption with non-linear adsorption isotherms. J Chromatograph A 1041:77–85

    Article  CAS  Google Scholar 

  16. Ebert K, Ederer H (1985) Computeranwendungen in der Chemie. VCH Verlagsgesellschaft mbH, Weinheim

    Google Scholar 

  17. Dvořák L, Ledvinka M, Sobotka, M (1991) Famulus 3.1, Computer equipment, Prague

  18. Herbelin AL, Westall JC (1996) FITEQL: a computer program for determination of chemical equilibrium constants from experimental data, version 3.2., Report 94-01, Department of Chemistry, Oregon State University, Corvallis, Oregon

  19. Palágyi Š, Štamberg K (2010) Modeling of transport of radionuclides in beds of crushed crystalline rocks under equilibrium non-linear sorption isotherm conditions. Radiochim Acta 98:359–365

    Article  Google Scholar 

  20. Palágyi Š, Štamberg K, Vodičková H (2010) Transport and sorption of 85Sr and 125I in crushed crystalline rocks under dynamic flow conditions. J Radioanal Nucl Chem 283:629–636

    Article  Google Scholar 

  21. Palágyi Š, Štamberg K (2010) Transport of 125I, 137Cs+ and 85Sr2+ in granitic rock and soil columns. J Radioanal Nucl Chem 286:309–316

    Article  Google Scholar 

  22. Palágyi Š, Štamberg K (2011) Determination of 137Cs and 85Sr transport parameters in fucoids sand columns and groundwater system. Cent Eur J Chem 9:798–807

    Article  Google Scholar 

  23. Štamberg K, Palágyi Š (2011) Effect of grain size on the sorption and desorption of 137Cs in crushed granite columns and groundwater system under dynamic conditions. J Radioanal Nucl Chem 293:127–134

    Article  Google Scholar 

  24. Palágyi Š, Štamberg K, Havlová V, Vodičková H (2013) Effect of grain size on the 85Sr2+ sorption and desorption in columns of crushed granite and infill materials from granitic water under dynamic conditions. J Radioanal Nucl Chem 297:33–39

    Article  Google Scholar 

  25. Palágyi Š, Štamberg K, Vodičková H, Hercík M (2013) Sorption of 125I, 137Cs+, 85Sr2+ and 152,154Eu3+ during their transport in undisturbed vertical and horizontal soil cores under dynamic flow conditions. J Radioanal Nucl Chem 295:1447–1458

    Article  Google Scholar 

  26. Rachinskiy BV (1964) Vvedenije v obščuju teoriju dinamiky sorbcii i chromatografii (Introduction into general theory of the dynamics of sorption and chromatography). Nauka, Moskva

    Google Scholar 

  27. Zheng C, Bennett GD (1995) Applied contaminant transport modeling: theory and practice. Van Nostrand Reinhold, New York, p 440

    Google Scholar 

  28. Van Genuchten MT, Wierenga PJ (1976) Mass transfer studies in sorbing porous media I, analytical solutions. Soil Sci Soc Am 40:473–480

    Article  Google Scholar 

  29. Bear J, Verruijt A (1987) Modelling groundwater flow and pollution: theory and applications of transport in porous media. D. Riedel Publishing Co., Dodrecht

    Book  Google Scholar 

  30. Štamberg K, Palágyi Š, Videnská K, Havlová V (2014) Interaction of 3H+ (as HTO) and 36Cl (as Na36Cl) with crushed granite and corresponding fracture infill material investigated in column experiments. J Radioanal Nucl Chem 299:1625–1633

    Article  Google Scholar 

  31. Videnská K, Palágyi Š, Štamberg K, Vodičková H, Havlová V (2013) Effect of grain size on the sorption and desorption of SeO4 2− and SeO3 2− in columns of crushed granite and fracture infill from granitic water under dynamic conditions. J Radioanal Nucl Chem 298:547–554

    Article  Google Scholar 

  32. Palágyi Š, Štamberg K (2014) Transport parameters of I and IO3 determined in crushed rock column and groundwater system under dynamic flow conditions. J Radioanal Nucl Chem 302:647–653

    Article  Google Scholar 

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Palágyi, Š., Štamberg, K. & Vopálka, D. A simplified approach to evaluation of column experiments as a tool for determination of radionuclide transport parameters in rock-groundwater or soil-groundwater systems. J Radioanal Nucl Chem 304, 945–954 (2015). https://doi.org/10.1007/s10967-014-3898-z

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  • DOI: https://doi.org/10.1007/s10967-014-3898-z

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