Asymptotic Solution of the Problem of Convective-Diffusive Transfer of Sorbable Water-Soluble Compounds in Dispersed Media with Regard to the Kinetics of Sorption and Diffusion in the Pore Solution

An asymptotic solution has been obtained for the equation of convective diffusion of water-soluble compounds with regard to the sorption kinetics at a linear isotherm of their sorption by a solid dispersed phase and molecular diffusion in a pore solution. It is shown that the calculation error can be significantly reduced by using the shift parameters in the distribution of the concentration of transferred compounds calculated using formulas that take into account the parameters of convective-diffusive transfer. The proposed method can be used to improve the accuracy of calculation and analysis of the influence of various initial factors on convective-diffusive transfer of heavy metal compounds and radionuclides in dispersed natural environments.