Spatiotemporal (four-dimensional) modeling and simulation of uranium (238) in Hazar Lake (Turkey) water

  • Fatih KülahcıEmail author
Original Article


A spatiotemporal (four-dimensional) model has been proposed for determining the transportation characteristics of 238U. Primarily, three-dimensional distribution of uranium particles is obtained with the point cumulative semivariogram, and then 4D models are obtained with the spatiotemporal point cumulative semivariogram (STPCSV). The 238U distribution simulation in the lake by means of the STPCSV method provides “the similarity levels”, which help to make categorization. Similarity levels are used as equivalence of the radius of influence, which defines the maximum distance that is practically effective in the research field of 238U. Simulation maps also provide a possibility for the 238U concentration observability in the lake, and hence, radioactive changes can be traced in a very easy way. The radius of influence for 238U concentrations transportations is carried out for 5 km distance from each station, and an effective simulation is performed for 24 h. The applications of methodologies are achieved for the Hazar Lake, Turkey, which is under excessive groundwater recharge.


Uranium Model Radionuclide Cumulative semivariogram Transport Characterization Hazar Lake 



The author would like to thank the local community due to big helps at the field studies of this research. This work is supported by Fırat University, The Scientific Research Projects Unit.


  1. Al-Hwaiti MS (2015) Assessment of the radiological impacts of treated phosphogypsum used as the main constituent of building materials in Jordan. Environ Earth Sci 74:3159–3169CrossRefGoogle Scholar
  2. Andersson PS, Porcelli D, Wasserburg J, Ingri J (2008) Particle transport of 234U–238U in the Kalix River and in the Baltic Sea. Geochim Cosmochim Acta 62:385–392CrossRefGoogle Scholar
  3. Avanzinellia R, Prytulaka J, Skoraa S, Heumannb A, Koetsierb G, Elliott T (2012) Combined 238U–230Th and 235U–231Pa constraints on the transport of slab-derived material beneath the Mariana Islands. Geochim Cosmochim Ac 92:308–328CrossRefGoogle Scholar
  4. Bachmaf S, Merkel BJ (2011) Sorption of uranium(VI) at the clay mineral-water interface. Environ Earth Sci 63:925–934CrossRefGoogle Scholar
  5. Burns PC (2005) U6+ minerals and inorganic compounds: insights into an expanded structural hierarchy of crystal structures. Can Miner 43:1839–1894CrossRefGoogle Scholar
  6. Clark I (1979) The semivariogram-part 1. J Eng Min 7:90–94Google Scholar
  7. Clesceri LS (2008) Standard methods for the examination of water and wastewater. American Public Health Association, New YorkGoogle Scholar
  8. Cressie N (1991) Statistics for spatial data. Oliver and Boyd, New YorkGoogle Scholar
  9. Doğru M, Külahci F (2004) Iso-radioactivity curves of the water of the Hazar Lake, Elazig, Turkey. J Radioanal Nucl Chem 260:557–562CrossRefGoogle Scholar
  10. Fisher RA (1971) The design of experiments. Oliver and Boyd, EdinburghGoogle Scholar
  11. Golden Software (1999) Contouring and 3D surface mapping for scientists and engineers, User’s GuideGoogle Scholar
  12. Gosset WS (1907) On the error of counting with a hemacytometer. Biometrika 5:351–360CrossRefGoogle Scholar
  13. Iwatsuki T, Hagiwara H, Ohmori K et al (2015) Hydrochemical disturbances measured in groundwater during the construction and operation of a large-scale underground facility in deep crystalline rock in Japan. Environ Earth Sci 74:3041–3057CrossRefGoogle Scholar
  14. Kacmaz H, Nakoman ME (2009) Hydrochemical characteristics of shallow groundwater in aquifer containing uranyl phosphate minerals, in the Koprubasi (Manisa) area, Turkey. Environ Earth Sci 59:449–457CrossRefGoogle Scholar
  15. Külahcı F, Doğru M (2008) The physical and chemical researches in water and sediment of Keban Dam Lake, Turkiye: Part 1- Radioactivity iso-curves. J Nuclear Chem 268:517–528CrossRefGoogle Scholar
  16. Külahcı F, Şen Z (2007) Spatial dispersion modeling of 90Sr by point cumulative semivariogram at Keban Dam Lake, Turkey. Appl Radiat Isotopes 65:1070–1077CrossRefGoogle Scholar
  17. Külahcı F, Şen Z (2009a) Spatio-temporal modeling of 210Pb transportation in lake environments. J Hazard Mater 165:525–532CrossRefGoogle Scholar
  18. Külahcı F, Şen Z (2009b) Potential utilization of the absolute point cumulative semivariogram technique for the evaluation of distribution coefficient. J Hazard Mater 168:1387–1396CrossRefGoogle Scholar
  19. Külahcı F, Şen Z, Kazanç S (2008) Cesium concentration spatial distribution modeling by point cumulative semivariogram. Water Air Soil Pollut 195:151–160CrossRefGoogle Scholar
  20. Liu C, Zhong L, Zachara JM et al (2010) Uranium(VI) diffusion in low-permeability subsurface materials. Conference: 12th international conference on chemistry and migration behaviour of actinides and fission products in the Geosphere Location: Kennewick, WA Date: SEP 20–25, 2009. Radiochim Acta 98:719–726Google Scholar
  21. Malkovsky VI, Petrov VA, Dikov YP et al (2015) Colloid-facilitated transport of uranium by groundwater at the U-Mo ore field in eastern Transbaikalia. Environ Earth Sci 73:6145–6152CrossRefGoogle Scholar
  22. Matheron G (1963) Principles of geostatistics. Econ Geol 58:1246–1266CrossRefGoogle Scholar
  23. Morford JL, Emerson S (1999) The geochemistry of redox sensitive trace metals in sediments. Geochim Cosmochim Acta 63:1735–1750CrossRefGoogle Scholar
  24. Mottonen M, Jarvinen E, Hokkanen TJ et al (1999) Spatial distribution of soil ergosterol in the organic layer of a mature Scots pine (Pinus sylvestris L.) forest. Soil Biol Biochem 31:503–516CrossRefGoogle Scholar
  25. Niksarlıoğlu S, Külahcı F, Şen Z (2014) Spatiotemporal modeling and simulation of Chernobyl radioactive fallout in northern Turkey. J Nuclear Chem 303:171–186CrossRefGoogle Scholar
  26. Özmen H, Külahcı F, Çukurovalı A, Dogru M (2004) Concentration of heavy metal and radioactivity concentration in surface water and sediment of Hazar Lake (Elazığ, Turkey). Chemosphere 55:401–408CrossRefGoogle Scholar
  27. Rout S, Ravi P, Mana K et al (2015) Study on speciation and salinity-induced mobility of uranium from soil. Environ Earth Sci 74:2273–2281CrossRefGoogle Scholar
  28. Russell AD, Honisch B, Spero HJ et al (2004) Effects of seawater carbonate ion concentration and temperature on shell U, Mg, and Sr in cultured planktonic foraminifera. Geochim Cosmochim Acta 68:4347–4361CrossRefGoogle Scholar
  29. Şahin AD, Şen Z (2004) A new spatial prediction model and its application to wind records. Theor Appl Climatol 79:45–54CrossRefGoogle Scholar
  30. Scherer E, Munker C, Mezger K (2001) Calibration of the lutetium-hafnium clock. Science 293:683–687CrossRefGoogle Scholar
  31. Schwarz PA, Fahey TJ, McCulloch CE (2003) Factors controlling spatial variation of tree species abundance in a forested landscape. Ecology 84:1862–1878CrossRefGoogle Scholar
  32. Şen Z (1989) Cumulative semivariogram models of regionalized variables. Math Geol 21:891–903CrossRefGoogle Scholar
  33. Şen Z (1998) Point cumulative semivariogram for identification of heterogeneities in regional seismicity of Turkey. Math Geol 30:767–787CrossRefGoogle Scholar
  34. Şen Z (2009) Spatial modeling principles in earth sciences. Springer, New YorkGoogle Scholar
  35. White JG, Welch RM, Norvell WA (1997) Soil zinc map of the USA using geostatistics and geographic information systems. Soil Sci Soc Am J 61:185–194CrossRefGoogle Scholar
  36. Yates F (1938) The comparative advantages of systematic and randomized arrangements in the design of agricultural and biological experiments. Biometrika 30:440–466CrossRefGoogle Scholar
  37. Zhang F, Yeh GT, Parker JC et al (2007) A reaction-based paradigm to model reactive chemical transport in groundwater with general kinetic and equilibrium reactions. J Contam Hydrol 92:10–32CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Nuclear Physics Division, Department of Physics, Faculty of ScienceFırat UniversityElazigTurkey

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