Invited speaker
David Bercovici
Yale University
Department of Geology and Geophysics
P.O. Box 208109
New Haven, CT, 06520-8109
Title
Plate Generation from Mantle
Convection: Odd Rheologies
and Lithospheric Damage
Abstract
In the last decade we have seen significant progress toward
the broad goal of self-consistently generating tectonic plates in models
of mantle convection. In general we have seen that plate-like motion
in the top, cold thermal boundary layer of convection requires rheologies
more exotic than we typically use for non-Newtonian mantle flow (i.e.,
power-law creep with an index of n=3). Basic plastic lithospheric
rheologies appear to go quite far in generating plate-like motion when
coupled to a low-viscosity underlying asthenosphere, although they generally
have trouble generating concentrated strike-slip (toroidal) motion. The
more extreme self-lubricating (sometimes called shear weakening or pseudo-stick-slip)
rheologies can generate strike-slip motion, but the weak zones it generates
tend to over-focus beneath the grid scale. Moreover, these rheological
mechanisms involve instantaneous response and thus the softened plate boundaries
they generate vanish as soon as deformation stops. Time- or history-dependent
weakening mechanisms that rely on rheological response to temperature,
grain-size or volatile content can (in some cases) yield narrow plate boundaries
and possibly long-lived inactive boundaries, however they also appear
to destabilize the plate-like motion. The most effective of these
time-dependent mechanisms involve damage and volatile ingestion of the
lithosphere; this approach is also well-motivated by the apparent predominance
of ductile-cracking in the lithosphere within the large transition region
that lies between the brittle-ductile and brittle-plastic transitions.
However, most of these `damage' theories are ad hoc and over-simplified.
In an effort to better understand the damage approach, and provide a theory
compatible with viscous mantle flow, we propose a new two-phase damage
theory. This theory states that 1) a damaged material (i.e., with microcracks
and voids) is, in its simplest manifestation, a two phase material (a matrix
phase representing solid host, and a fluid phase representing void-filling
material such as water or air); and 2) the energy going into making microcracks
is the surface energy of the crack wall, which in the two phase model is
the surface energy of the interface between the phases. This model
describes a spectrum of rich behavior including damage, weakening, and
shear localization.