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

Czasopismo : Acta Geophysica
Tytuł artykułu : Mathematical modeling and practical verification of groundwater and contaminant transport in a chosen natural aquifer

Autorzy :
Sobotka, J.
University of Wrocław, Institute of Geological Sciences, Department of Structural Geology, Wrocław, Poland, jerzysob@ing.uni.wroc.pl,
Sedighi, M.
K.N. Toosi University of Technology, Faculty of Geodesy and Geomatics Engineering, Tehran, Iran, sedighi@ncc.org.ir,
Rezaei, K.
LMU University, Munich, Germany, khalil.rezaei@yahoo.com,
Narayan, J.
Dept. of Earthquake Engineering, Indian Institute of Technology, Roorkee, India, jaypnfeq@iitr.ernet.in,
Rozmarynowska, A.
Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland, rozmaryn@igf.edu.pl,
Gnyp, A.
Carpathian Branch, Subbotin Institute of Geophysics, National Academy of Sciences of Ukraine, Lviv, Ukraine, gnyp@cb-igph.lviv.ua,
Wiejacz, P.
Institute of Geophysics, Polish Academy of Sciences, Warszawa, Poland, pwiejacz@igf.edu.pl,
Karakostas, V.
Geophysics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece, vkarak@geo.auth.gr,
Tezcan, S.
Bogazici University, Bebek, Istanbul, Turkey, tezokan@superonline.com,
Orlecka-Sikora, B.
Faculty of Geology Geophysics and Environmental Protection, AGH University of Science and Technology, Kraków, Poland, orlecka@geol.agh.edu.pl,
Aniszewski, A.
Department of Sanitary Engineering, Szczecin University of Technology, Szczecin, Poland, andrzej.aniszewski@ps.pl,
Abstrakty : 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.

Wydawnictwo : Instytut Geofizyki PAN
Rocznik : 2009
Numer : Vol. 57, no. 2
Strony : 435 – 453
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DOI :
Cytuj : Sobotka, J. ,Sedighi, M. ,Rezaei, K. ,Narayan, J. ,Rozmarynowska, A. ,Gnyp, A. ,Wiejacz, P. ,Karakostas, V. ,Mukhopadhyay, B. ,Tezcan, S. ,Orlecka-Sikora, B. ,Aniszewski, A. , Mathematical modeling and practical verification of groundwater and contaminant transport in a chosen natural aquifer. Acta Geophysica Vol. 57, no. 2/2009