Differential Rotation of the Mantle and the Solid Core of the Earth as a Factor in the Seismic Wave Process
摘要
Currently in seismology there is a concept of a wave seismic process (Vikulin in Dokl. Academy of Sciences of the USSR 4:821–824, 1990; Vikulin in Physics of wave seismic process, Publishing house of KSPU, Petropavlovsk-Kamchatsky, p. 151, 2003), according to which natural disasters such as earthquakes, volcanic eruptions, and the appearance of faults in rocks associated with stresses in the body of the Earth manifest themselves in the same region of the planet with a period of the order of several tens of years. This leads to the conclusion that the zones of greatest tension within the Earth periodically move. The purpose of the work is to draw attention to a new physical mechanism that explains this phenomenon. The fact is that, in recent decades, advanced rotation of the Earth’s solid core relative to the mantle has been discovered (Song and Richards in Nature 382:221, 1996; Ovchinnikov et al. in Dokl. RAS 362:683–686, 1998). Based on this fact and assuming the ellipsoidality of the Earth’s inner core, it has been shown (Denisov et al. in Dokl. RAS 400:625–629, 2005; Denisov et al. in Nature 3–10, 2013) that the gravitational interaction of the mantle and the inner core leads to observed long-period (about 100 years) fluctuations in the length of the day. This, in particular, serves as indirect evidence of the ellipsoidality of the inner core. In this work, a simple model is proposed that reflects some features of the internal structure of the Earth, which demonstrates the periodicity of movement of the zones of greatest stress. An elastic isotropic thick spherical shell rotating at a certain angular velocity is considered. In the cavity of the shell there is a body in the form of a dumbbell, which rotates ahead of the shell. The calculation of the distribution of stresses inside the shell was carried out depending on the influence of gravitational force from the dumbbell and the deformations of the shell associated with its angular movements. The zones of greatest stress are highlighted. It is shown that the relative rotation of the internal body leads to periodic movement of these zones. The results of the work may be useful for understanding the mechanism of the seismic wave process.