MODELING OF THE NON-TURBULENT SURFACE LAYER ELECTRODYNAMIC STRUCTURE
Abstract
The article presents an electrodynamic model of the atmospheric surface layer caused by the action of the electrode effect near the earth's surface, and an analysis of its equations by methods of similarity theory. Mathematical models of the surface layer electrical state in the approximations of the classical and turbulent electrode effect are considered separately. In the mathematical formulation of modeling problems, a number of well-founded physical assumptions were created that made it possible to obtain analytical solutions to the equations. Analytical formulas have been obtained for calculating the profiles of aeroion concentrations, the density of the space electric charge and the electric field in the electrode layer. As a result of mathematical modeling, the dependences of the electrical characteristics distribution in the surface layer on the values of the electric field, the degree of air ionization and aerosol pollution of the atmosphere are investigated. It is shown that the ratio of the electric field values on the earth's surface and at the upper boundary of the electrode layer is almost constant. The increasing of the electric field, the rate of air ionization and the presence of sufficient concentration aerosol particles leads to a decrease in the thickness of the electrode layer and, as a consequence, the scale of distribution of its parameters. An amplification in the degree of ionization increases, and an increase in the concentration of aerosol particles in the atmosphere decreases the values of the electric charge density in the surface layer. Theoretical calculations are in good agreement with experimental data and the results of numerical modeling of the surface layer electrical structure. The analytical formulas obtained in the work for calculating the electrical characteristics of the surface layer and the results of calculations can be useful in solving a number of applied problems of geophysics, in particular for monitoring the electrical state of the atmosphere.
