Title of article :
NUMERICAL SIMULATION OF THE EFFECT OF SEMI-PERMEABLE PROPERTIES OF CLAY ON THE VALUE OF CONCENTRATION JUMPS OF CONTAMINANTS IN A THIN GEOCHEMICAL BARRIER
Author/Authors :
Ulianchuk-Martyniuk, O.V. National University of Water and Environmental Engineering, Ukraine, Rivne city
Abstract :
The process of the distribution of chemical substances in an array of soil containing
a thin clay geochemical barrier is considered. Due to the physico-chemical characteristics,
clay possesses properties of semi-permeable membranes which is expressed numerically in the
ideality coefficient (of clay). The research which experimentally shows the dependence of the
ideality coefficient of clay inclusions on moisture and on salt concentration has been analyzed.
The dependences that were taken into account under modified conjugation conditions for the
concentration of chemical substances and pressure in case of incomplete saturation are given.
The conjugation conditions are an integral part of the mathematical model of salt-moisture
transfer in the case of heterogeneity of porous media and the presence of thin inclusions
differing in their filtration and physico-chemical characteristics from the principal material of
the porous medium. The numerical solution of a corresponding non-linear boundary value
problem with modified conjugation conditions was found by the finite element method. The
schematic algorithm for the software realization of the search for approximate solutions is
described. The differences in the value of the concentration of chemical substances for a
classical case and the test model case are considered in the article.
Keywords :
ideality coefficient of clay , concentration of chemicals , humidity , geochemical barrier , conjugation condition
Journal title :
Eurasian Journal of Mathematical and Computer Applications