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• GLOBAL AND LOCAL VARIATIONS OF THE ELECTRIC FIELD IN THE SURFACE ELECTRODE LAYER

  О. V. Belousova

  180-190

  2026-09-10

  Abstract ▼

  The paper presents a mathematical model of the atmospheric surface electrode layer structure, taking into account the combined action of global and local electric field generators. Spatiotemporal modeling is based on the conjugation of harmonic trigonometric functions of the diurnal cycle for local turbulent exchange and for the global total current density. When modeling the behavior of the electric field, analytical solutions of the electrode effect equations in the atmosphere are used. The proposed approach consists of a step-by-step substitution of the total electric current density and the turbulent diffusion coefficient instantaneous values, obtained from the equations of their periodic variation for a specific hour of the day, into analytical formulas for the stationary spatial distribution of the turbulent electrode layer characteristics. The validity of using the quasi-stationary approximation is strictly substantiated by the significant difference (by more than two orders of magnitude) between the time scales of establishing electrical equilibrium in the medium and the period of the global current generator diurnal variation. It was established that the combined modeling mode adequately reproduces the synergistic expansion of the electric field strength (potential gradient) diurnal curve range and the deformation of its profile, characteristic of the summer season in the high mountains. The reliability of the obtained theoretical results was confirmed by their comparison with experimental data from in-situ measurements at the alpine station of Peak Cheget (430 16' N and 420 30' E), located in the Elbrus region at altitudes of 3040 m above sea level.
  The analysis demonstrated good quantitative and chronological agreement between the calculated extremes values and the observed diurnal variations in electric field during the summer season. The results obtained can be directly used to improve the accuracy of geophysical monitoring data interpretation

• MODELING OF THE NON-TURBULENT SURFACE LAYER ELECTRODYNAMIC STRUCTURE

  G.V. Kupovkh, A.G. Klovo, V.V. Grivtsov, О. V. Belousova

  2022-08-09

  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.

• MODELING RESULTS OF THE TURBULENT SURFACE LAYER ELECTRODYNAMIC STRUCTURE

  О.V. Belousova, G.V. Kupovkh, А.G. Klovo, V.V. Grivtsov

  2022-11-01

  Abstract ▼

  The article presents the results of mathematical modeling of turbulent surface layer
  electrodynamic structure. A model of a stationary turbulent electrode effect operating near the
  earth's surface is used. The analysis of equations by methods of similarity theory allowed us to
  make a number of reasonable physical assumptions that allowed us to obtain analytical solutions.
  Analytical formulas have been obtained for calculating the profiles of concentrations of small ions
  (aeroions), the density of the space electric charge and the electric field strength in a turbulent
  electrode layer. As a result of mathematical modeling, the dependences electrical characteristics
  in surface layer on the values of the electric field, the turbulent mixing degree and aerosol pollution
  of the atmosphere are investigated. It is shown that the parameter of the electrode effect (the
  ratio of the values of the electric field strength on the earth's surface and at the upper boundary of
  the electrode layer) practically does not depend on atmospheric conditions, whereas the height of
  the electrode layer and, accordingly, the scale of the distribution of the electrical characteristics
  of the surface layer vary significantly. The intensification of turbulent mixing in the surface layer
  leads to an increase in the height of the electrode layer and, as a consequence, the scale of distribution
  of its parameters. The strengthening of the electric field or air pollution by aerosol particles of sufficient concentration leads to a decrease in its height. An increase in the concentration
  of aerosol particles in the atmosphere reduces the values of the electric charge density at the
  earth's surface. 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.