Am. Forte et al., JOINT INVERSIONS OF SEISMIC AND GEODYNAMIC DATA FOR MODELS OF 3-DIMENSIONAL MANTLE HETEROGENEITY, J GEO R-SOL, 99(B11), 1994, pp. 21857-21877
The seismic models of three-dimensional (3-D) mantle heterogeneity may
be interpreted in terms of the density perturbations which drive mant
le flow and thus provide important predictions of flow-related observa
bles, such as the nonhydrostatic geoid. The current models of global-s
cale shear velocity heterogeneity provide reasonably good fits to the
long-wavelength nonhydrostatic geoid data (60-70% variance reductions)
but rather poor fits to the corresponding free-air gravity anomalies
(30-40% variance reductions). This major difference is due to two fact
ors: (1) the very different amplitude spectrum of the gravity anomalie
s, which is nearly flat for degrees l < 8, and (2) the relatively poor
match between the individual harmonic components of the predicted and
observed gravity anomalies for degrees l > 3. The largest mismatch be
tween the pattern of predicted and observed gravity anomalies is in th
e southern hemisphere. This observation suggests that one reason for t
he poor overall match between the two fields may be that the global se
ismic data are not resolving sufficiently well the heterogeneity in th
e southern hemisphere portion of the deep mantle. In contrast, the gra
vity data provide accurate and geographically uniform constraints on t
he vertically integrated heterogeneity in the mantle. We therefore per
form a series of experiments in which we simultaneously invert a large
set of seismic data (which includes long-period waveforms, SS - S and
ScS - S differential travel times, and normal-mode structure coeffici
ents) and the long-wavelength gravity anomaly data. We thus determine
whether it is possible to derive new 3-D heterogeneity models which sa
tisfy both data sets. The gravity anomaly data are interpreted in the
context of spherically-symmetric viscous flow models of the mantle. In
these inversion experiments we test several radial viscosity and delt
a ln rho/delta ln upsilon profiles and thereby assess their plausibili
ty. The joint seismic-geodynamic inversions reveal that it is indeed p
ossible to greatly improve the fit to the free-air gravity anomalies (
with variance reductions of 80-90% readily accessible) while preservin
g the fit to the seismic data. This improvement is achieved with some
adjustment to the heterogeneity in the depth range 1500-2500 km, where
the seismic data constraints appear to be weakest. The joint inversio
ns also reveal new structures in the southern hemisphere portion of th
e lower mantle which apparently are not resolved by the seismic data a
lone.