On the Possibility of Using the Lithosphere Relief to Estimate the Velocity at the Horizontal Upper Boundary of an Intensive Vortex in the Mantle Under the Eastern Part of the Meditterranean Sea

The model problem of finding a stationary axisymmetric flow of an ideal fluid on the horizontal upper boundary of a cylindrical region at a known pressure set by the model relief of the lithosphere is considered. A smoothed axisymmetric model relief is used, reflecting the main features of the lithosphere relief of the eastern Mediterranean Sea. At a given pressure the radial distributions of velocity components describing stationary cyclonic circulation in an intra-mantle vortex which are determined by the model relief of the lithosphere are found from the solution of stationary equations of motion. The intramantium vortex is divided into an inner core and an outer part. The radial velocity in the vortex is continuous. The azimuthal velocity of the vortex undergoes discontinuities in areas of rapid elevation of the lithosphere relief with increasing radius. The azimuthal velocity discontinuities correspond to the position of the “wall” at the boundary of the outer part of the vortex with the inner core of the vortex and the presence of a “wall” inside the inner core of the vortex at the boundary of a narrow ring in which matter rotates even faster than in the “wall” at the boundary of the outer part of the vortex and the inner core of the vortex. The azimuthal velocity of the vortex increases sharply as it approaches from the periphery of the vortex to the “wall” of the outer part of the vortex and slowly increases as it approaches from the periphery of the vortex to the “wall” of a rapidly rotating narrow ring located inside the inner core of the vortex. In nature, at the “walls” inside and at the boundary of the inner core, an intense vortex formation with the dissipation of kinetic energy into heat should occur in an intra-mantle vortex. The latter leads to the appearance of zones of intense release of endogenous heat from the seabed into the water (mainly in the form of hot springs), which can affect the climate and the circulation of marine waters and be the cause of the observed abnormally rapid heating of the Mediterranean Sea.