Аннотация:In this paper, a theoretical model of the effect of X-ray radiation from a solar flare on the Earth’s ionosphere andon the Schumann resonance frequencies in the Earth-ionosphere waveguide has been constructed. A flat transientflux of X-ray photons incident on the Earth is considered. By making the assumption that the absorption coefficientof photon energy depends on their energy and air density, the air ionization rate under the action of X-rayradiation is found as a function of altitude. Changes in the number densities of electrons and ions are describedby a set of differential equations, which take into account the rate of production and recombination of particles,as well as the attachment of electrons to neutral molecules. The altitude profiles of all reaction constants, as wellas the mobility of electrons and ions, are approximated using tabular data. The solution of these equations is usedto calculate changes in ionospheric conductivity caused by X-rays from a solar flare. A case study of X6.9-classsolar flare effect on the ionosphere is being studied, although the variability of model parameters could affect thesimulation results. The changes in conductivity influence on the penetration depth of the low-frequency electromagneticfield into the conducting ionosphere, which results in a slight increase in the frequencies of theSchumann resonances. The theory explains the relationship between the intensity of X-ray radiation and thechange in the weighted average frequency of Schumann resonances, which was observed for a number of solarflares of various classes.