Algorithm for modeling electromagnetic channel of seismo-ionospheric coupling (SIC) and the variations in the electron concentration

  • Yuriy RapoportEmail author
  • Vladimir Grimalsky
  • Andrzej Krankowski
  • Sergey Pulinets
  • Alla Fedorenko
  • Sergei Petrishchevskii
Research Article - Atmospheric & Space Sciences


We present in detail the algorithm of the electrostatic–quasi-stationary–electromagnetic/MHD approximations and equivalent external sources (EQUEMES method) to develop the quasi-stationary–electromagnetic models of seismo-ionospheric coupling. The penetration of the electromagnetic field created by near-Earth alternative currents of ULF range was simulated by solving equations for the horizontal electric field components Ex, Ey of the second order with respect to the vertical coordinate z. This system of two second-order equations is derived from the system of Maxwell equations. The penetration of rather strong horizontal electric field [of order of (1–10) mV/m] to the ionospheric E and F layers has been modeled. The corresponding variations in the electron concentration in the E and lower F layers of the ionosphere reach a value of order of (1–10)%. Farther increase in these variations can be connected with the related synergetic processes. A possibility of the effective initiation of electron concentration perturbations in the unstable near-equatorial plasma in the F layer of the ionosphere by the packet of atmospheric gravity waves radiated by the near-ground source is illustrated. A good correspondence of the results obtained on the basis of this model to the data of satellite observations is shown.


Quasi-stationary Electron concentration Seismo-ionospheric coupling TEC ULF 



Two of authors (Andrzej Krankowski and Sergey Pulinets) thank the Ministry of Science and Higher Education (MSHE) of the Republic of Poland for granting fund: MSHE decision no. DIR/WK//2016/05) and MSHE decision no. 220815/E-383/SPUB/2016/2), which supported in part the present work.

Compliance with ethical standards

Conflict of interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.


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Copyright information

© Institute of Geophysics, Polish Academy of Sciences & Polish Academy of Sciences 2019

Authors and Affiliations

  1. 1.Physical FacultyTaras Shevchenko National University of KyivKievUkraine
  2. 2.CIICApAutonomous University of State Morelos (UAEM)CuernavacaMexico
  3. 3.Space Radio, Diagnostics Research CentreUniversity of Warmia and Mazury in OlsztynOlsztynPoland
  4. 4.Space Research Institute of RAS (IKI RAS)MoscowRussia
  5. 5.Space Research Institute National Academy of Sciences of Ukraine and State Space Agency of UkraineKievUkraine

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