Abstract: A quantitative kinematic theory of convection currents in the Earth's mantle​

Abstract

A quantitative kinematic theory of convection currents in the Earth's mantle

Based on a system of structurally simple postulations the kinematics of mantle convection
is derived. With regard to the strain-stress relations valid in the mantle and the energy source of
the convection the theory is without any presumptions. In compliance with recent hydrodynamic
investigations the flow is introduced rather as roll currents than as a hexagonal cell pattern. From the
feasible types of current a theoretical topography is derived which is in quantitative agreement with the
observed one. Also the distribution of the seismic discontinuities substantiates the validity of the expression.
Finally, some suggestions are given for a hydrodynamic theory of mantle convection. This
paper contains that part of the theory which is necessary for testing the calculations, while the relationship
of the theory to other geological and geophysical problems are dealt with by the author.