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EN
Geophysical characterization of contaminated sites is an important procedure in pre- and post-site remediation. It has been carried out in several contaminated sites, irrespective of differences in site geology, nature of contaminants, and prevailing hydrological conditions. Electrical prospecting methods are the most used geophysical techniques for contaminant plume mapping. Due to this widespread use, there is an increasing number of literature on the use of electrical methods directed toward contaminant plume mapping. Yet, it lacks a comprehensive framework in literature that synthesizes the methods’ concepts, applications, and limitations. In this review, we summarized the use of electrical methods (electrical resistivity, self-potential, and induced polarization) in mapping contaminant plumes and provided a synthesis of concepts, applications, and limitations. The advantages, drawbacks, and the solutions achieved so far were emphasized in this review. Some of the advantages are that electrical methods are faster, cheaper, noninvasive and provide continuous images of contaminant plumes when compared to the traditional techniques. The drawbacks highlighted include the non-uniqueness of the vertical electrical sounding (VES), distortion effect of the 2D electrical resistivity tomography (ERT) and huge cost of 3D ERT data acquisition. We also highlighted other geophysical methods that could be used to map contaminant plumes. Conclusively, this review paper identified future research direction and offers insight into emerging issues associated with these techniques for better modeling of contaminated sites.
PL
W artykule omówiono modelowanie przepływu wody w jeziorze Gopło. Opisano zastosowane modele matematyczne, dane wejściowe oraz napotkane trudności. Przedstawiono użyte do modelowania siatki elementów skończonych oraz przykładowe symulacje rozprzestrzeniania się substancji w jeziorze. Dalszym etapem badań będzie korelacja źródeł zanieczyszczeń z zapisem w osadach dennych Gopła.
EN
This paper discusses the modelling of the flow of water in the Gopło Lake. Describes the mathematical models used, the input data and the difficulties encountered. Presented used to model the finite element mesh and sample simulations spreading substances in the lake. The next stage of research will be the correlation of the sources of pollution in sediments record Gopło.
EN
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.
PL
Równania transportu stabilnych i pasywnych zanieczyszczeń w strumieniu wody z uwzględnieniem źródła sorpcji. Analiza procesu sorpcji lokalnej równowagi stężeń w fazie ciekłej i stałej.
EN
Transport equations for conservative and passive contaminant in groundwater stream including adsorption source. Analysis of sorption process for local equilibrium of concentration in liquid and solid phases.
EN
In saturated clay soils with Iow values of hydraulic gradients and hydraulic conductivity lower than 1·10-9 m/s (geological barrier) the most important effect on the migration of leachate from landftlls has diffusion process. Therefore, prediction of contaminants migration should include both advection and diffusion models. The paper deals with application of the POLUTEv6 program for numerical analyzes of vertical leachate migration in landfill subsoil with geological barrier. The limitation and advantages of the POLLUTEv6 program and mathematical models of contaminants migration were describe in the first part of the paper. Finally, some examples of numerical analyzes for determination of the diffusion coefficient using the “back analyzes” method and modelling for the prediction of leachate migration in foundation of Marki landfill are discussed.
EN
The paper addresses the site verification of the practical 2D-mathematical model of conservative and passive contaminant transport in the groundwater stream incorporating also, except the advection and dispersion processes, the source (negative) term of reversible sorption. It is generally assumed, that local equilibrium conditions exist between the aqueous (free)-phase and the solid (sorption)-phase for the sorption process being considered. For such an equilibrium-controlled state, the term of reversible sorption can be described by the linear or non-linear adsorption (desorption) isotherms in relation to statics of this process. In this analysis the Freundlich equilibrium isotherm was accepted, which is also widely applied in practice. In this 2D-mathematical model the numerical solution (using the finite difference method), calculated values of the longitudinal and transverse dispersion coefficients (Dx, Dy) as well as the adsorption parameters (K, N) were used. To facilitate the numerical solutions, the modified calculation programme "PCCS-1" was also worked out. The calculated maximal values of chloride concentrations based on this model were compared with the measured chloride concentrations in those chosen for these verification piezometers installed in the natural aquifer. The calculated values of relative deviations (between the calculated and the measured concentrations in relation to the measured concentrations) proved the sufficient accuracy of the numerical solution of the contaminant transport model in groundwater stream presented with the non-linear source term representing the adsorption process. The calculations proved also the low adsorption capacity in the aquifer chosen for verification. The site verification of the presented 2D-mathematical model of contaminant transport in ground medium proved the possibility of practical usage of this model for engineering calculations of the contaminant concentration fields in the natural aquifers.
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