Russian Journal of Earth Sciences Russian Journal of Earth Sciences Russian Journal of Earth Sciences 1681-1208 47109 ОРИГИНАЛЬНЫЕ СТАТЬИ ORIGINAL ARTICLES ОРИГИНАЛЬНЫЕ СТАТЬИ Modulated thermoconvective waves in the Earth's lithosphere Modulated thermoconvective waves in the Earth's lithosphere Birger B I Birger B I Schmidt United Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, Russia ru Schmidt United Institute of Physics of the Earth, Russian Academy of Sciences, Moscow, Russia ru 1 2 137 150 11 11 2021 https://rjes.ru/en/nauka/article/47109/view

For flows associated with small strains, the rheology of rocks is described by a linear integral having a memory law, which reduces to the Andrade law in the case of constant stresses. The continental lithosphere with such a rheology is overstable. Thermoconvective waves propagating through the lithosphere without attenuation have a period of about 200 Ma and a wavelength of the order of 400km. A pointwise perturbation of the initial temperature in the lithosphere excites amplitude-modulated thermoconvective waves wave packets. When the initial perturbation occupies a finite area, thermoconvective waves move outside from this area and thermoconvective oscillations standing waves are settled within the area. Thermoconvective waves induce oscillations of the Earth' surface, accompanied by sedimentation and erosion, and can be viewed as a mechanism for the distribution of sediments on continental cratons.

For flows associated with small strains, the rheology of rocks is described by a linear integral having a memory law, which reduces to the Andrade law in the case of constant stresses. The continental lithosphere with such a rheology is overstable. Thermoconvective waves propagating through the lithosphere without attenuation have a period of about 200 Ma and a wavelength of the order of 400km. A pointwise perturbation of the initial temperature in the lithosphere excites amplitude-modulated thermoconvective waves wave packets. When the initial perturbation occupies a finite area, thermoconvective waves move outside from this area and thermoconvective oscillations standing waves are settled within the area. Thermoconvective waves induce oscillations of the Earth' surface, accompanied by sedimentation and erosion, and can be viewed as a mechanism for the distribution of sediments on continental cratons.

 thermoconvective waves Earth's lithosphere sediments rheology of rocks. thermoconvective waves Earth's lithosphere sediments rheology of rocks.

Beloussov, Endogenous Regimes of Continents, 1978. Beloussov, Endogenous Regimes of Continents, 1978. Birger, Phys. Earth Planet. Inter., v. 50, 1988. Birger, Phys. Earth Planet. Inter., v. 50, 1988. Birger, Phys. Earth Planet. Inter., v. 92, 1995. Birger, Phys. Earth Planet. Inter., v. 92, 1995. Birger, Geophys. J. Inter., v. 134, 1998. Birger, Geophys. J. Inter., v. 134, 1998. Copson, Asymptotic Expansions, 1965. Copson, Asymptotic Expansions, 1965. Fleitout, J. Geophys. Res., v. 89, 1984. Fleitout, J. Geophys. Res., v. 89, 1984. Khain, General Geotectonics, 1973. Khain, General Geotectonics, 1973. Von Doetch, Anleitung zum praktischen Gebrauch der Laplace-Transformation und der Z-Transformation, 1967. Von Doetch, Anleitung zum praktischen Gebrauch der Laplace-Transformation und der Z-Transformation, 1967. Whitham, Linear and Nonlinear waves, 1974. Whitham, Linear and Nonlinear waves, 1974.