Mathematical simulation and numerical method for solving geomigration problem

• Main Authors: G. Gromyko, G. Zayats
• Format: Article
• Language: English
• Published: Vilnius Gediminas Technical University 2003-06-01
• Series: Mathematical Modelling and Analysis
• Subjects: mathematical simulation; numerical methods; geomigrtation problem; finite difference schemes
• Online Access: https://journals.vgtu.lt/index.php/MMA/article/view/9769
• ISSN: 1392-6292; 1648-3510

In the present paper a two‐dimensional boundary value problem of geomigration taking into account convection transfer, hydrodynamic dispersion, molecular diffusion and absorption is considered. The problem is described by the system of two differential equations for the level of ground water [3] and the concentration of the contaminant in ground water [4]. For numerical solving we used the finite difference schemes taking into account the characteristic properties of the problem. The calculations were produced in conformity with concrete hydro‐geological conditions. The obtained solutions are used for prognosis of contaminant migration in ground water. Geomigracijos uždavinio matematinis modeliavimas ir skaitiniai metodai Santrauka Straipsnyje nagrinejamas dvimatis kraštinis geomigracijos uždavinys, kai atsižvelgiama j konvekcini pernešima, hidrodinamine dispersija, molekuline difuzija. Šis uždavinys aprašomas dvieju diferencialiniu lygčiu sistema grunto vandeniui ir užterštumo koncentracijai vandenyje. Šiam uždaviniui spresti taikomas baigtiniu skirtumu metodas atsižvelgiant j uždavinio charakteristines savybes. Skaičiavimai buvo atlikti su konkrečiomis hidrogeologinemis salygomis. Gauti sprendiniai gali būti naudojami prognozuojant užterštumo judejima gruntiniame vandenyje. First Published Online: 14 Oct 2010