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Just some empty space here
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Phase transitions, dynamics, and thermal structure of the
core-mantle boundary region
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The recently discovered post-perovskite phase transition in Earth's
lowermost mantle offers an unprecedented opportunity to probe variations
in temperature near the core-mantle boundary, where heat is transferred
from the core into the mantle. Additionally, this new tool may shed
light on a number of other important issues in Earth Science, such
as:
- Does subducted oceanic lithosphere sink all the way to the
bottom of Earth's mantle?
- Do large scale "primordial" chemical reservoirs exist in the lower
mantle?
- Is the thermal boundary layer in D" convectively unstable, and
thus able to nucleate deep-seated mantle plumes that trace out
volcanic chains ("hot spots") at Earth's surface?
Below you will find additional information regarding our recent
interpretation of the manifestation of post-perovskite in Earth's
lowermost mantle (the "double-crossing") addressing various comments
I've received since our paper went to press:
Hernlund, J., C. Thomas, and P.J. Tackley, A doubling of the
post-perovskite phase boundary and structure of the Earth's lowermost
mantle, Nature, 434, 882-886, 2005.
(PDF Reprint)
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Issue #1: How might variations in mantle chemistry affect your
double-crossing model?
This is an important question for determining how post-perovskite
manifests itself in a more realistic multi-phase system. The
MgSiO3-perovskite phase is known to have a finite solubility
for other chemical components, including:
- FeO, which forms a limited solid solution with
MgO in the binary system MgSiO3-FeSiO3 perovskite,
with maximum FeSiO3 mole fractions of less than 1/2. The
solubility of FeO in post-perovskite relative to co-existing Fe-periclase
in a pyrolitic composition is the subject of debate, as Mao et al. [2004]
have reported a higher FeO while Murakami et al. [2005] have reported less
FeO. In either case, the smaller size of Fe+2 (relative to
Mg+2) is expected to lower the pressure of the phase
transition, creating a two-phase region in the
MgSiO3-FeSiO3 phase diagram for the post-perovskite
transition.
- Fe2O3, which by itself forms a structure
similar to post-perovskite at lower pressures than pure
MgSiO3, and is therefore expected to cause a lowering of the
transition pressure if it is significantly soluble in post-perovskite.
- Al2O3, which is soluble in
MgSiO3-perovskite, though it may be strongly coupled with
Fe2O3. New ab initio calculations suggest a higher
transformation pressure for Al2O3 in assuming a
structure similar to post-perovskite, thus this component would likely
increase the phase transition pressure if it were significantly soluble
in post-perovskite.
(Note: Trace elements that are generally incompatible in the upper mantle
might be more likely to enter the CaSiO3-perovskite phase
because Ca has a large ionic radius).
More work obviously needs to be done in order to assess the affects of
variable chemistry on the post-perovskite transition. However, dynamical
considerations can give us some insight into how chemical variations might
affect post-perovskite distribution within a convecting mantle. For
example, the large chemically distinct dense FeO-rich "piles" postulated
to exist
beneath the Pacific and Africa will have become relatively hot while
sitting on
top of the core-mantle boundary and are therefore less likely to have any
post-perovskite within them (post-perovskite prefers cooler temperatures)
unless the increased FeO has a large enough effect on the phase boundary.
In particular, a shallowing of the phase boundary might permit warmer
material to transform to post-perovskite, though in the hottest portions
of piles this might be difficult to achieve.
In colder regions of
the lowermost mantle, smaller scale
variations in chemical heterogeneity might give rise to complexity in the
post-perovskite phase boundaries. A shallowing of the phase boundary
by the increased presence of Fe (in any form) will be convectively
unstable, because the elevated phase transition in addition to the heavier
Fe will
complement one another in creating a negative buoyancy anomaly that will
tend to drive Fe-rich material downward relative to Fe-poor
material. Therefore any smaller-scale variations along the
post-perovskite phase boundary due to chemistry will probably
arise from chemical heterogeneities that are presently being advected into
cooler parts of D", and may be fundamentally transient features. A likely
candidate of this type may occur when subducted oceanic lithosphere
encounters the D" layer, with layers of basaltic composition crust
contrasting with the depleted former mantle lithosphere. A particular
example of this scenario might be what is happening beneath the Cocos
plate at present, where extremely rapid variations in discontinuity
topography might not be compatible with the smoother profiles generated
by temperature variations alone.
The observational consequences of dissolved Fe oxides or other components
upon the discontinuity created by the post-perovskite phase transition are
more straightforward to address, and were mentioned in the original paper
(final paragraph). The primary effect is to broaden the transition into a
gradient, with the top of the two-phase region containing more iron-rich
post-perovskite. According to seismic studies, a gradient of up to 75 km
is possible for the discontinuity, which translates to about 4 GPa
interval in pressure. Recent experimental results (e.g. Murakami et al.,
2005) yield numbers in this range (but slightly higher). It is important
to note, however, that the seismically observed gradient can be smaller
than the actual width of the two-phase region generated by solid
solutions, and therefore the value of 4 GPa might be taken as a lower
bound.
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Issue #2: How reliable is the seismic interpretation that two
(rather than just one) discontinuities appear in D"?
This is an ongoing subject of research, and one which the seismology
community will clearly be addressing from a number of different
approaches in the near future. Our goal in the original paper was simply
to show that a double-crossing interpretation was consistent with
previous data analysis and interpretations for which two discontinuities
were found beneath Eurasia and the Cocos plate. The upper
discontinuity is well-established, but the lower discontinuity
exhibits a velocity decrease and these types of features are
notoriously difficult to probe with seismic waves. Several groups are
using a variety of other techniques to look for the double discontinuities
in these and other regions, such as stacking much larger data sets.
The preliminary results of these studies seem to confirm the predictions
of a double-crossing model, so stay tuned on this topic!
Issue #3: The core-mantle boundary heat flow implied by the
double-crossing model seems very large, how can this be reconciled
with credible core thermal histories?
This is also an ongoing research effort, which is obviously of significant
importance for understanding the thermal and dynamical history of the
Earth, and also carries implications for the distribution of radiogenic
elements (e.g. 44 TW observed at Earth's surface minus 9-13 TW at the
CMB requires 31-35 TW of radiogenic heat production in the mantle),
perhaps requiring some sort of internal heating in the core (e.g.,
Potassium). For now, it suffices to say that the figure of 9-13 TW given
in the paper is a gross extrapolation, and does not account for possibly
significant variations from place to place. In particular, the heat flow
beneath the so-called "superplume" structures beneath the Pacific and
Africa could be substantially smaller (i.e., by a factor of two or
more)
than in regions where slabs can exist, and these should not be
included in an areal extrapolation. However, there remains the additional
factor that 9-13 TW is a lower bound on heat flow in the gross
extrapolation. Thus the removal of some regions from the extrapolation
would lower the estimate of CMB heat flow, while the fact that it is a
lower bound in the presence of subducted slabs increases the estimate of
the actual heat flow. It may be that
these two effectively cancel one another out, but further research is
required to find better constraints.
Another element of uncertainty implicit in the estimate of heat flow is
the appropriate value for the thermal conductivity, which is uncertain by
at least a factor of two. In particular, the contribution of radiative
transfer is not well known (especially in the composite aggregate of
phases in D"), and may be important. An exciting possibility is that high
density sampling of discontinuities might enable an inference of thermal
diffusivity from the length-scales of heterogeneity observed, although
this is complicated by potential chemistry effects.
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