Abstract
Diffusion is the predominant mechanism governing the transport of 129I through geosphere. Consequently, the assessment of the experimental findings on two-compartment diffusion reservoirs of IO3− within compacted bentonite involved the application of three distinct diffusion models: CC–CC (constant concentration), CC–VC (variable concentration), and VC–VC. To ensure the reliability of the obtained diffusion coefficients, multiple laboratory tests were performed for internal comparison. The experimental results revealed that IO3− diffusion coefficients were ranging from 3.83 × 10−13 to 1.91 × 10−11 m2/s. These techniques using three mathematical models could be conducted to estimate the diffusion coefficients of non- or weakly-sorbing radionuclides on compacted bentonite for safety assessment of radioactive waste final disposal.
Acknowledgments
The authors would like to thank the researchers at the Radioactive Waste Disposal Technology Research and Development Center, National Tsing Hua University for technical discussions.
-
Research ethics: Not applicable.
-
Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.
-
Competing interests: The authors state no conflict of interest.
-
Research funding: The Science and Technology Development Fund supported this project under contract number NSTC 113-2623-E-007-006-NU.
-
Data availability: The raw data can be obtained on request from the corresponding author.
References
Aldaba, D., Rigol, A., and Vidal, M. (2010). Diffusion experiments for estimating radiocesium and radiostrontium sorption in unsaturated soils from Spain: comparison with batch sorption data. J. Hazard. Mater. 181: 1072–1079, https://doi.org/10.1016/j.jhazmat.2010.05.124.Search in Google Scholar PubMed
Bharat, T.V., Suvapullaiah, P.V., and Allam, M.M. (2009). Swarm intelligence-based solver for parameter estimation of laboratory through-diffusion transport of contaminants. Comput. Geotech. 36: 984–992, https://doi.org/10.1016/j.compgeo.2009.03.006.Search in Google Scholar
Bourg, I.C., Sposito, G., and Bourg, A.C.M. (2006). Tracer diffusion in compacted, water saturated bentonites. Clays Clay Miner. 54: 363–374, https://doi.org/10.1346/CCMN.2006.0540307.Search in Google Scholar
Buil, B., Gómez, P., Peña, J., Garralòn, A., Turrero, M.J., Escribano, A., Sánchez, L., and Drán, J.M. (2010). Modelling of bentonite–granite solutes transfer from an in situ full-scale experiment to simulate a deep geological repository (Grimsel test site, Switzerland). Appl. Geochem. 25: 1797–1804, https://doi.org/10.1016/j.apgeochem.2010.09.003.Search in Google Scholar
Carslaw, H.S. and Jaeger, J.C. (1959). Conduction of heat in solids, 2nd ed. Oxford University, New York.Search in Google Scholar
Chang, H.C., Wang, C.Y., and Huang, W.H. (2015). The interaction between contacting barrier materials for containment of radioactive wastes. In: Proceedings of the international conference on advanced materials and structural engineering technology (ICAMEST 2015), 25-26 April 2015. CRC Press, QingDao, China, pp. 17–20.10.2991/icmra-15.2015.18Search in Google Scholar
Couture, R.A. and Seitz, M.G. (1983). Sorption of anions of iodine by iron oxides and kaolinite. Nucl. Chem. Waste Manag. 4: 301–306, https://doi.org/10.1016/0191-815X(83)90055-4.Search in Google Scholar
Crank, J. (1975). The mathematics of diffusion, 2nd ed. Clarendon Press, Oxford, England.Search in Google Scholar
Eriksen, T.E., Jansson, M., and Molera, M. (1999). Sorption effects on cation diffusion in compacted bentonite. Eng. Geol. 54: 231–236, https://doi.org/10.1016/S0013-7952(99)00078-2.Search in Google Scholar
Fuge, R. and Johnson, C.C. (2015). Iodine and human health, the role of environmental geochemistry and diet, a review. Appl. Geochem. 63: 282–302, https://doi.org/10.1016/j.apgeochem.2015.09.013.Search in Google Scholar
García-Gutiérrez, M., Cormenzana, J.L., Missana, T., and Mingarro, M. (2004). Diffusion coefficients and accessible porosity for HTO and 36Cl in compacted FEBEX bentonite. Appl. Clay Sci. 26: 65–73, https://doi.org/10.1016/j.clay.2003.09.012.Search in Google Scholar
García-Gutiérrez, M., Cormenzana, J.L., Missana, T., Mingarro, M., and Molinero, J. (2006). Overview of laboratory methods employed for obtaining diffusion coefficients in FEBEX compacted bentonite. J. Iber. Geol. 32: 37–53.Search in Google Scholar
Hakimi, S.S. (1996). Improved iodine-125 removal in anionic form of iodate by column method using laterite soil. J. Radioanal. Nucl. Chem. 214: 117–131, https://doi.org/10.1007/BF02164812.Search in Google Scholar
Holmboe, M., Norrfors Knapp, K., Jonsson, M., and Wold, S. (2011). Effect of γ-radiation on radionuclide retention in compacted bentonite. Radiat. Phys. Chem. 80: 1371–1377, https://doi.org/10.1016/j.radphyschem.2011.08.004.Search in Google Scholar
Ishidera, T., Miyamoto, S., and Sato, H. (2008). Effect of sodium nitrate on the diffusion of Cl- and I- in compacted bentonite. J. Nucl. Sci. Technol. 45: 610–616, https://doi.org/10.1080/18811248.2008.9711459.Search in Google Scholar
Jakob, A., Sarott, F.A., and Spieler, P. (1999). Diffusion and sorption on hardened cement pastes – experiments and modelling results. In: Waste Manage. Lab.. PSI-Bericht Nr, p. 95.Search in Google Scholar
Kang, J., Cintron-Colon, F., Kim, H., Kim, J., Varga, T., Du, Y., Qafoku, O., Um, W., and Levitskaia, T.G. (2020). Removal of iodine (I− and IO3−)from aqueous solutions using CoAl and NiAl layered double hydroxides. Chem. Eng. J. 43, https://doi.org/10.1016/j.cej.2021.132788.Search in Google Scholar
Kaplan, D.I., Xu, C., Li, D., Lin, P., Xing, W., Nichols, R., Schwehr, K., and Santschi, P.H. (2019). Iodine speciation in cementitious environments. Appl. Geochem. 103: 15–22, https://doi.org/10.1016/j.envint.2019.02.070.Search in Google Scholar PubMed
Kaplan, D.I., Serne, R.J., Parker, K.E., and Kutnyakov, I.V. (2000). Iodide sorption to subsurface sediments and illitic minerals. Environ. Sci. Technol. 34: 399–405, https://doi.org/10.1021/es990220g.Search in Google Scholar
Kaplan, D.I. (2003). Influence of surface charge of an Fe-oxide and an organic matter dominated soil on iodide and pertechnetate sorption. Radiochim. Acta 91: 173, https://doi.org/10.1524/ract.91.3.173.19977.Search in Google Scholar
Kaufhold, S., Dohrmann, R., Koch, D., and Houben, G. (2008). The pH of aqueous bentonite suspensions. Clays Clay Miner. 56: 338–434, https://doi.org/10.1346/CCMN.2008.0560304.Search in Google Scholar
Kong, J., Lee, C.P., Sun, Y., Hua, R., Liu, W., Wang, Z., Li, Y., and Wang, Y. (2021). Anion exclusion and sorption effect for compacted bentonite: the dependency of diffusion coefficients and capacity of HTO and Se (IV). J. Radioanal. Nucl. Chem. 328: 717–725, https://doi.org/10.1007/s10967-021-07688-x.Search in Google Scholar
Kuo, K.O., Tsai, T.L., Chiang, A., and Chao, J.H. (2013). Determination of 129I in cement-solidified radwastes using neutron activation. J. Radioanal. Nucl. Chem. 298: 465–473, https://doi.org/10.1007/s10967-013-2486-y.Search in Google Scholar
Lee, J.O., Lee, K.J., and Cho, W.J. (1997). Sorption and diffusion of 1-125 and Sr-90 in a mixture of Bentonite and crushed granite backfill of a radioactive waste repository. Radiochim. Acta 76: 143–151, https://doi.org/10.1524/ract.1997.76.3.143.Search in Google Scholar
Lee, C.P., Hu, Y., Chen, D., Wu, E., Wang, Z., Wen, Z., Tien, N.C., Yang, F., Tsai, S.C., Shi, Y., et al.. (2021). An improved speciation method combining IC with ICPOES and its application to iodide and iodate diffusion behavior in compacted bentonite clay. Materials 14: 7056, https://doi.org/10.3390/ma14227056.Search in Google Scholar PubMed PubMed Central
Lever, D.A. (1986). Some notes on experiments measuring diffusion of sorbed nuclides through Porous Media. AERE-R-12321, United Kingdom Atomic Energy Authority. Publications Office, Harwell Laboratory, Oxfordshire OX11 0RA, England.Search in Google Scholar
Moridis, G.J. (1999). Semi-analytical solutions for parameter estimation in diffusion reservoir experiments. Water Resour. Res. 35: 1729–1740, https://doi.org/10.1029/1999WR900084.Search in Google Scholar
Moore, R.C., Pearce, C.I., Morad, J.W., Chatterjee, S., Levitskaia, T.G., Asmussen, R.M., Lawter, A.R., Neeway, J.J., Qafoku, N.P., Rigali, M.J., et al.. (2020). Iodine immobilization by materials through sorption and redox-driven processes: a literature review. Sci. Total Environ. 716: 132820, https://doi.org/10.1016/j.scitotenv.2019.06.166.Search in Google Scholar PubMed
Palágyi, Š. and Štamberg, K. (2014). Transport parameters of I− and IO3− determined in crushed granitic rock columns and groundwater system under dynamic flow conditions. J. Radioanal. Nucl. Chem. 302: 647–653, https://doi.org/10.1007/s10967-014-3267-y.Search in Google Scholar
Pearce, C.I., Cordova, E.A., Garcia, W.L., Saslow, S.A., Cantrell, K.J., Morad, J.W., Qafoku, O., Matyáš, J., Plymale, A.E., Chatterjee, S., et al.. (2020). Evaluation of materials for iodine and technetium immobilization through sorption and redox-driven processes. Sci. Total Environ. 706, https://doi.org/10.1016/j.scitotenv.2019.136167.Search in Google Scholar PubMed
Savoye, S., Page, J., Puente, C., Imbert, C., and Coelho, D. (2010). New experimental approach for studying diffusion through an intact and unsaturated medium: a case study with Callovo- Oxfordian Argillite. Environ. Sci. Technol. 44: 3698–3704, https://doi.org/10.1021/es903738t.Search in Google Scholar PubMed
Shackelford, C.D. (1991). Laboratory diffusion testing for waste disposal – a review. J. Contam. Hydrol. 7: 177–217, https://doi.org/10.1016/0169-7722(91)90028-Y.Search in Google Scholar
Shih, Y.H., Lee, I.H., Ni, C.F., Tsai, T.L., Chen, L.C., Lee, C.P., Tsai, S.C., and Su, T.Y. (2018). Experimental and numerical investigations of 99TcO4- diffusion in compacted SPV 200 bentonite. J. Radioanal. Nucl. Chem. 316: 1081–1089, https://doi.org/10.1007/s10967-018-5800-x.Search in Google Scholar
Skagius, K. and Neretnieks, I. (1986). Porosities and diffusivities of some nonsorbing species in crystalline rocks. Water Resour. Res. 22: 389–398, https://doi.org/10.1029/WR022i003p00389.Search in Google Scholar
Szántó, Z., Svingor, É., Molnár, M., Palcsu, L., Futó, I., and Szűcs, Z. (2002). Diffusion of H-3, Tc-99, I-125, Cl-36 and Sr-85 in granite, concrete and bentonite. J. Radioanal. Nucl. Chem. 252: 133–138, https://doi.org/10.1023/A:1015256308843.10.1023/A:1015256308843Search in Google Scholar
Takeda, M., Zhang, M., and Nakajima, H. (2006). Strategies for solving potential problems associated with laboratory diffusion and batch experiments – Part 2. Future improvements. In: WM’06 conference. CRC Press, Tucson, AZ.Search in Google Scholar
Takeda, M., Nakajima, H., Zhang, M., and Hiratsuka, T. (2008). Laboratory longitudinal diffusion tests: 1. Dimensionless formulations and validity of simplified solutions. J. Contam. Hydrol. 97: 117–134, https://doi.org/10.1016/j.jconhyd.2008.01.004.Search in Google Scholar PubMed
Tian, W., Li, C., Liu, X., Wang, L., Zheng, Z., Wang, X., and Liu, C. (2013). The effect of ionic strength on the diffusion of 125I in Gaomiaozi bentonite. J. Radioanal. Nucl. Chem. 295: 1423–1430, https://doi.org/10.1007/s10967-012-2284-y.Search in Google Scholar
Tsai, S.C. (2018). On the study of modelling for the radionuclide migration experiment methods and the nuclide-species transport mechanism. In: Final report (Chinese Edition) on the results of special research projects funded by the Ministry of Science and Technology, MOST 106-NU-E-007-007-NU, Available at: https://grbdef.stpi.narl.org.tw/fte/download4?docId=2847021&responseCode=5912&grb05Id=12084163.Search in Google Scholar
Tsai, S.C., Ouyang, S., and Hsu, C.N. (2001). Sorption and diffusion behavior of Cs and Sr on Jih-Hsing bentonite. Appl. Radiat. Isot. 54: 209–215, https://doi.org/10.1016/s0969-8043(00)00292-x.10.1016/S0969-8043(00)00292-XSearch in Google Scholar PubMed
Tsai, T.L., Tsai, S.C., Shih, Y.H., Chen, L.C., Lee, C.P., and Su, T.Y. (2017). Diffusion characteristics of HTO and 99TcO4- in compacted Gaomiaozi (GMZ) bentonite. Nucl. Sci. Technol. 28: 67, https://doi.org/10.1007/s41365-017-0221-z.Search in Google Scholar
Tsai, T.L., Chiou, Y.F., and Tsai, S.C. (2020). Overview of the nuclear fuel cycle strategies and the spent nuclear fuel management technologies in Taiwan. Energies 13: 2996, https://doi.org/10.3390/en13112996.Search in Google Scholar
Tsai, T.L., Tsai, S.-C., Chang, D.-M., and Cheng, W.-H. (2021). Intercomparison of determining diffusion coefficients of I− in compacted bentonite using various mathematical models of through-diffusion experiments in the laboratory. J. Radioanal. Nucl. Chem. 330: 1317–1327, https://doi.org/10.1007/s10967-021-08041-y.Search in Google Scholar
Van Loon, L.R., Glaus, M.A., and Müller, W. (2007). Anion exclusion effects in compacted bentonites: towards a better understanding of anion diffusion. Appl. Geochem. 22: 2536–2552, https://doi.org/10.1016/j.apgeochem.2007.07.008.Search in Google Scholar
Wang, X. and Tao, Z. (2004). Diffusion of 99TcO4- in compacted bentonite: effect of pH, concentration, density and contact time. J. Radioanal. Nucl. Chem. 260: 305–309, https://doi.org/10.1023/B:JRNC.0000027101.01834.1b.10.1023/B:JRNC.0000027101.01834.1bSearch in Google Scholar
Zhang, M. and Takeda, M. (2005). Theoretical evaluation of the through diffusion test for determining the transport properties of geological materials. In: Proceedings of waste management 2005, CD-ROM. CRC press, Boca Raton, FL.Search in Google Scholar
Zhang, M., Takeda, M., and Nakajima, H. (2006a). Determining the transport properties of rock specimens using an improved laboratory through diffusion technique. MRS Online Proc. Libr. 932: 1131, https://doi.org/10.1557/PROC-932-113.1.Search in Google Scholar
Zhang, M., Takeda, M., and Nakajima, H. (2006b) Strategies for solving potential problems associated with laboratory diffusion and batch experiments-part 1. An overview of conventional test methods. In: WM’06 conference, Tucson, AZ.Search in Google Scholar
Zhang, Z., Ebert, W.L., Yao, T., Lian, J., Valsaraj, K.T., and Wang, J. (2019). Chemical durability and dissolution kinetics of iodoapatite in aqueous solutions. ACS Earth Space Chem. 3: 452–462, https://doi.org/10.1021/acsearthspacechem.8b00162.Search in Google Scholar
© 2024 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Multilateral evaluation of the effects of utilizing thorium oxide in the Bushehr VVER-1000 reactor
- Comparison of modeling methods for the effective diffusivities of IO3− estimated in compacted bentonite using through-diffusion tests under aerobic conditions
- Analysis of initial core and time dependent fuel burnup for high temperature testing reactors (HTTRs)
- A detection and defense security system design for nuclear waste storage against stealth terrorists attack
- Optimization of ECR assisted pre-ionization in GLAST-III via Multiphysics simulation
- Fuzzy reliability algorithm for the shutdown system of research reactor
- System theory safety analysis of network malfunction in nuclear power plant distributed control systems
- Two phase flow analysis of micro channel evaporator to investigate effect of geometry on pressure and heat transfer coefficient with respect to volume of fraction
- Methodology for analyzing dose consequence using atmospheric dispersion code A2CDOSE
- Reliability analysis of digital reactor protection systems in floating nuclear power plants
- Study on comprehensive evaluation method of mental workload level
- Integrating reliability analysis into MBSE for FPGA-based safety critical I&C system design in nuclear power plants
- Calendar of events
Articles in the same Issue
- Frontmatter
- Multilateral evaluation of the effects of utilizing thorium oxide in the Bushehr VVER-1000 reactor
- Comparison of modeling methods for the effective diffusivities of IO3− estimated in compacted bentonite using through-diffusion tests under aerobic conditions
- Analysis of initial core and time dependent fuel burnup for high temperature testing reactors (HTTRs)
- A detection and defense security system design for nuclear waste storage against stealth terrorists attack
- Optimization of ECR assisted pre-ionization in GLAST-III via Multiphysics simulation
- Fuzzy reliability algorithm for the shutdown system of research reactor
- System theory safety analysis of network malfunction in nuclear power plant distributed control systems
- Two phase flow analysis of micro channel evaporator to investigate effect of geometry on pressure and heat transfer coefficient with respect to volume of fraction
- Methodology for analyzing dose consequence using atmospheric dispersion code A2CDOSE
- Reliability analysis of digital reactor protection systems in floating nuclear power plants
- Study on comprehensive evaluation method of mental workload level
- Integrating reliability analysis into MBSE for FPGA-based safety critical I&C system design in nuclear power plants
- Calendar of events