Abstract
Models of highly-viscous incompressible nonhomogeneous multi-layer newtonian fluid can be used for studying the process of the formation and evolution of sedimentary basins. Investigations of the dynamics of the layers of the sedimentary cover and the lithosphere above a rising mantle diapir show, that if this diapir is deep and its velocity is low, a depression is formed on the Earth surface. Stretching in the lithosphere can be small. If the velocity of the rising diapir is high or the diapir is shallow a superficial swell can be formed. In any case it is possible to find critical parameters connecting the form of diapirs and their depth and velocity with the structures of the Earth surface. Thermomechanical modeling gives possibility to describe oil-gas generation zones evolution and to connect surface and deep heat flow with basins evolution history and with properties of deep layers.
