Ice Sheets, Sea Level and the Dynamic Earth,
Geodyn. Ser., pp. 233-256, ed. Mitrovica, J. X.,
and L. L. A. Vermeersen, AGU, Washington, DC., 2002.
The Convective Mantle Flow Signal in Rates of True Polar Wander
Bernhard Steinberger and Richard J. O'Connell
Abstract
We investigate changes of the rotation axis caused by mantle convection.
In the first part, the coupled problem of viscoelastic deformation
and rotational dynamics is solved for simple Earth models in order
to compute how the rotation axis changes following emplacement of
non-hydrostatic excess masses. It is shown that both direct integration
and a computationally more effective ``quasi-static integration''
give virtually identical results. With the latter method, results of
eigenmode and time domain approach were compared, with little difference found.
Although the number of viscoelastic relaxation eigenmodes is infinite,
for an adiabatic Earth mantle only two eigenmodes need be
considered for an approximately correct description,
and an even simpler steady-state solution can be used.
The results indicate that for our best estimates of present-day mantle
properties, the maximum speed of polar motion is about 1 degree per million
years, and during Cenozoic times the rotation axis
has always followed closely the axis of maximum non-hydrostatic moment of
inertia imposed by advection of mantle density heterogeneities.
The latter was calculated for a number of tomographic models and
inferred flow fields. Results indicate on average a slow motion of
about 5 degrees in 60 Ma roughly towards Greenwich, which is not in
conflict with paleomagnetic results. Only one of the models additionally
predicted a faster motion prior to about 80 Ma in a direction similar to what
is inferred from paleomagnetism.