Open AccessMATHEMATICAL SIMULATION AND NUMERICAL METHOD FOR SOLVING GEOMIGRATION PROBLEM
Author(s) -
Г. Ф. Громыко,
G. M. Zayats
Publication year - 2003
Publication title -
mathematical modelling and analysis/mathematical modeling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/13926292.2003.9637217
Subject(s) - boundary value problem , finite difference method , dispersion (optics) , finite difference , diffusion , conformity , differential equation , initial value problem , mathematics , mass transfer , mechanics , mathematical analysis , physics , thermodynamics , political science , law , optics
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.