Abstract
Mantle convection is driven by the transport of heat from a planetary
interior. This heat may come from the internal energy of the mantle or
may come from the core beneath and in general there will be
contributions from both. Past investigations of mixed-mode heating have
revealed unusual behavior that confounds our intuition based on boundary
layer theory applied to end-member cases. In particular, increased
internal heating can cause a decrease in convective velocity despite an
increase in surface heat flow. We investigate this behavior using
numerical experiments and develop a scaling for velocity in the
mixed-heating case. We identify a planform transition that impacts both
heat flux and convective velocities. More significantly, we demonstrate
that increased internal heating leads not only to a decrease in internal
velocities but also a decrease in the velocity of the upper thermal
boundary layer (a model analog of the Earth’s lithosphere). This
behavior is connected to boundary layer interactions and is independent
of any partic- ular rheological assumptions. In simulations with a
temperature-dependent viscosity and a finite yield stress, increased
internal heating does not cause an absolute decrease in surface velocity
but does cause a decrease in sur- face velocity relative to the purely
bottom or internally heated cases as well as a transition to rigid-lid
behavior at high heating rates. The differences between a mixed system
and end-member cases have implications for under- standing the
connection between plate tectonics and mantle convection and for
planetary thermal history modeling.