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Mathematical modeling and practical verification of groundwater and contaminant transport in a chosen natural aquifer

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Abstract

The paper addresses the 2D mathematical equation of conservative contaminant transport in an aquifer for chosen contaminants. The contaminants (chlorides and sulfates) are subject to instantaneous reversible part of sorption process. The term of instantaneous reversible sorption in the presented equation has been described by the non-linear Freundlich adsorption isotherm, widely applied in practice in relation to static processes (for local equilibrium). The numerical solution (using the finite difference method) has been based on the previously calculated values of longitudinal and transverse dispersion coefficients and the non-linear adsorption parameters for the chosen contaminants. Based on this model, the values of chloride and sulfate concentration isolines have been calculated and compared with the measured maximal concentrations in the chosen natural aquifer (installed piezometers). Additionally, the values of chloride concentrations have been calculated taking into account the influence of radioactive decay term, using the numerical value of the firstorder decay rate constant for an adopted theoretical radionuclide.

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References

  • Alvarez, P.J.J., and W.A. Illman (2006), Fundamentals of groundwater flow and contaminant transport processes. In: P.J.J Alvarez and W.A. Illman (eds.), Bioremediation and Natural Attenuation, J. Wiley and Sons, New York, 115–167.

    Google Scholar 

  • Aniszewski, A. (2008), Site verified contaminant transport model as a mathematical vehicle for prevention of the natural acquifer contamination, Publs. Inst. Geophys. Pol. Acad. Sc. E-10, 406, 21–28.

    Google Scholar 

  • Aniszewski, A. (2005), Experimental verification of the contaminant transport in the aquifer incorporating advection, dispersion and sorption processes, Arch. Hydro-Engin. Environ. Mech. 52, 3, 195–212.

    Google Scholar 

  • Chiang, W.H. (2005), 3-D Groundwater Modeling with PMWIN. A Simulation System for Modeling Groundwater Flow and Transport Processes, Springer, Berlin, 398 pp.

    Google Scholar 

  • Johnson, G.R., K. Gupta, D.K. Putz, Q. Hu, and M.L. Brusseau (2003), The effect of local-scale physical heterogeneity and nonlinear, rate-limited sorption/desorption on contaminant transport in porous media, J. Cont. Hydrology 64, 1-2, 35–58, DOI: 10.1016/S0169-7722(02)00103-1.

    Article  Google Scholar 

  • Konikov, L.F., D.J. Goode, and G.Z. Hornberger (1996), A three-dimensional method of characteristics solute-transport model (MOC3D), US Geological Survey, Water Resources Investigations Report 96-4267, Reston, VA, 87 pp.

  • Kresic, N. (2006), Hydrology and Groundwater Modeling, 2nd ed., CRC Press, Boca Raton, FL, 828 pp.

    Google Scholar 

  • Logan, J.D. (2001), Transport Modeling in Hydrogeochemical Systems, Interdisciplinary Applied Mathematics 15, Springer, Berlin, 223 pp.

    Google Scholar 

  • Poznan (1982), Results of physico-chemical and bacteriological analyses of water samples together with documentation and conclusions resulting from these analyses for agricultural complex “Redło” in Redlo nearby Swidwin, Institute of Environmental Development, 23 pp. (unpublished, in Polish).

  • Seidel-Morgenstern, A. (2004), Experimental determination of single solute and competitive adsorption isotherms, J. Chromatography A 1037, 1–2, 255–272, DOI: 10.1016/j.chroma.2003.11.108.

    Article  Google Scholar 

  • Spitz, K.H., and J. Moreno (1996), A Practical Guide to Groundwater and Solute Transport Modelling, J. Wiley and Sons, New York, 461 pp.

    Google Scholar 

  • Szczecin (1981), Technical documentation of subsoil research for the subject: Smardzko-farm (Agricultural Complex “Redlo” in Redlo nearby Swidwin), Design Office “Geoprojekt” in Szczecin, 33 pp., unpublished (in Polish)

  • Szymkiewicz, R. (2000), Mathematical Modeling of Flow in Rivers and Channels, Polish Scientific Publ., Warszawa, 319 pp. (in Polish).

    Google Scholar 

  • Vienna (2006), Applicability of Monitored Natural Attenuation at Radioactively Contaminated Sites, Technical Reports Series No. 445, International Atomic Energy Agency (IAEA), 117 pp.

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Authors and Affiliations

  1. Department of Sanitary Engineering, Szczecin University of Technology, Szczecin, Poland

    Andrzej Aniszewski

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  1. Andrzej Aniszewski
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Correspondence to Andrzej Aniszewski.

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Aniszewski, A. Mathematical modeling and practical verification of groundwater and contaminant transport in a chosen natural aquifer. Acta Geophys. 57, 435–453 (2009). https://doi.org/10.2478/s11600-008-0080-4

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  • DOI: https://doi.org/10.2478/s11600-008-0080-4

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