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Combining the radial basic function eulerian and lagrangian schemes with geostatistic for modeling of radionuclide migration through the geosphere
Vrankar, Leopold (Avtor), Turk, Goran (Avtor), Runovc, Franc (Avtor)

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Izvleček
To assess the long-term safety of a radioactive waste disposal system, mathematical models are used to describe groundwater flow, chemistry, and potential radionuclide migration through geological formations. A number of processes need to be considered, when predicting the movement of radionuclides through the geosphere. The most important input data are obtained from field measurements, which are not available for all regions of interest. For example, the hydraulic conductivity as an input parameter varies from place to place. In such cases, geostatistical science offers a variety of spatial estimation procedures. Methods for solving the solute transport equation can also be classified as Eulerian, Lagrangian and mixed. The numerical solution of partial differential equations (PDE) has usually been obtained by finite-difference methods (FDM), finite-element methods (FEM), or finite-volume methods (FVM). Kansa introduced the concept of solving partial differential equations using radial basis functions (RBF) for hyperbolic, parabolic, and elliptic PDEs. The aim of this study was to present a relatively new approach to the modeling of radionuclide migration through the geosphere using radial basis function methods in Eulerian and Lagrangian coordinates. In this study, we determine the average and standard deviation of radionuclide concentration with regard to variable hydraulic conductivity, which was modelled by a geostatistical approach. Radionuclide concentrations will also be calculated in heterogeneous and partly heterogeneous 2D porous media. (C) 2004 Elsevier Ltd. All rights reserved.

Jezik:Angleški jezik
Ključne besede:migracija radionuklidov, Lagrangeova metoda, radialne bazne funkcije, Eulerjeva metoda, geostatistika, radionuclide migration, lagrangian method, radial basis function, geostatistics, eulerian method
Vrsta gradiva:Delo ni kategorizirano (r6)
Tipologija:1.01 - Izvirni znanstveni članek
Organizacija:NTF - Naravoslovnotehniška fakulteta
Leto izida:2004
Založnik:Elsevier
Št. strani:1517-1529 f.
Številčenje:Vol. 48, No. 5
UDK:624
ISSN pri članku:0898-1221
DOI:10.1016/j.camwa.2004.05.006 Povezava se odpre v novem oknu
COBISS.SI-ID:523103 Povezava se odpre v novem oknu
Število ogledov:900
Število prenosov:228
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Naslov:Computers & mathematics with applications
Skrajšan naslov:Comput. math. appl.
Založnik:Pergamon Press
ISSN:0898-1221
COBISS.SI-ID:15336965 Povezava se odpre v novem oknu

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