HR: 0800h
AN: T11E-1333 [Abstracts]
TI: Insights Into the D$''$ Region From Analysis of a Thin Dense Layer Beneath a Convecting Cell
AU: * Youngs, B A
EM: bryony@earth.leeds.ac.uk
AF: School of Earth and Environment, Earth Sciences, University of Leeds, Woodhouse Lane, Leeds, LS2 9JT
United Kingdom
AU: Houseman, G A
EM: greg@earth.leeds.ac.uk
AF: School of Earth and Environment, Earth Sciences, University of Leeds, Woodhouse Lane, Leeds, LS2 9JT
United Kingdom
AB:
In this study we set up a simple model of the earth's D$''$ layer as a thin dense layer which is compositionally distinct
from the lower mantle. The dominant external mechanism governing the flow within the layer and displacement of its upper
boundary is assumed to be tractions acting on the upper surface of D$''$ resulting from the convecting mantle above. The
Navier-Stokes equation is solved analytically and the resulting solutions analysed. Topography on the layer boundaries is
predicted by balancing it against dynamic flow stress. A 2D finite element code is used, not only to confirm the results of
the analysis but also to allow investigation of solutions with large boundary deflection. The nature of boundary topography
depends on the magnitude of the driving tractions and the density variation within the layer. If we impose a variation such
that the layer is most dense beneath areas of mantle downwelling and decreases to a minimum beneath areas of mantle upwelling
then the upper boundary of D$''$ builds up into a cusp-like peak beneath the upwelling mantle. The size of this peak can
potentially be several times greater than the layer depth. If, however, opposite density variations are imposed we can
instead observe solutions where the layer is completely swept away beneath areas of mantle downwelling leaving steep-sided
`islands' of dense material. The magnitude of the upper boundary driving tractions compared to the magnitude of density
variations within the layer is a crucial parameter in determining the nature of flow in, and consequently boundary topography
of, the layer. The deflection of the core-mantle boundary is small compared with that of the top of D$''$, but a change in
sign in the ratio of these deflections is observed as the magnitude of the driving tractions changes relative to the
magnitude of density variations. Seismic data of core-mantle boundary topography, D$''$ topography and lower mantle wave
speed are compared to the predictions of the model and used to constrain model parameters.
DE: 3210 Modeling
SC: Tectonophysics [T]
MN: 2004 AGU Fall Meeting