<p><b>Abstract</b>—The article discusses parametric effects in recent geodynamics, when anomalous deformation processes in fault zones occur in the setting of regional quasistatic stresses and are caused by fluctuations in the parameters of the medium inside the fault zones themselves, induced by small natural and man-made impacts. The results of physical modeling of parametric deformations under long-term (1 year) uniaxial quasistatic loading of rock samples are presented. Changes in Young’s modulus with periods of 0.03–0.3 years, accompanied by variations in the electrical potentials of rock samples, are revealed. Examples of the formation of parametric deformations induced in the fault zones by the process of preparation of a strong earthquake in Kamchatka are shown. Estimates of the influence of meteorological factors on local deformations of the ground surface are given. It is shown that in the case of linear loading , diurnal and annual temperature variations have the greatest influence. Under nonlinear parametric excitation of the processes in the fault zones, maximum deformations are caused by rainfall. The contribution of G.A. Sobolev to the development of studies of local deformations of the Earth’s surface induced by small natural impacts is noted.</p>