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Isostatic evolution and crustal structures of the Amazon continental margin determined by admittance analyses and inversion of gravity dataBraga, Luiz F. S. 06 June 1991 (has links)
Graduation date: 1992
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Frequency response function analysis of the equatorial margin of Brazil using gravity and bathymetryMacario, Ana L. G. 28 July 1989 (has links)
The overall objective of this study is to address questions concerning the long-term
mechanical strength of the lithosphere across the equatorial margin of Brazil. The
approach used in this study consists of calculating the frequency response function
estimates, also called admittance, using gravity and bathymetry data. These
experimental estimates are then compared to theoretical admittance curves for Airy and
thin elastic plate models for which estimates on the flexural rigidity or, equivalently,
effective elastic thickness may be made.
Twelve profiles, each 256 km long, were extracted from gridded gravity and
bathymetry data (data sources: project EQUANT, Defense Mapping Agency, National
Geophysical Data Center files and GEOS 3/SEASAT altimeter data). Three profiles
were specifically used for testing truncation errors introduced by four different data
treatment procedures (before Fourier transforming the data) : detrending, applying 10%
cosine tapering, mirror imaging and the use of the first derivatives. The method I
adopted is similar to the one used by McNutt (1983) and consists of testing how
reliably a given admittance estimate can be recovered as a function of the data treatment
procedure. A "predicted" gravity anomaly was obtained by convolving each
bathymetric profile with a theoretical admittance filter. The edges of this anomaly are
then submitted to the same treatment as the corresponding bathymetric profile before
Fourier transforming both profiles and calculating admittance. The stability of the
long-wavelength admittance estimates, in the presence of noise, was also investigated
by introducing Gaussian noise, in the range of -50 to +50 mGals, in the "predicted"
gravity signal. The results indicate that relatively unbiased long-wavelength admittance
estimates can be obtained by using the first derivative of the data sets. In addition, it is
shown that the mirroring technique, used in previous admittance studies across
Atlantic-type margins, leads to overestimated admittance values and, therefore,
overestimated flexural rigidities.
Neither the theoretical curves for the Airy model nor the plate flexure model can
explain the experimental admittance estimates. Not only are the experimental
admittance estimates higher than the predicted values but they also have a narrower
peak than the theoretical curves. This raises the question of the applicability of highly
simplified isostatic models for tectonic provinces such as Atlantic-type continental
margins. The following reasons may explain the discrepancies between the
experimental and theoretical admittance estimates:
(1) The abrupt nature of the transition between oceanic and continental crust
controlled by the Romanche Fracture Zone - Unlike the eastern North American
continental margin which was formed as a result of extensive rifling and pulling apart,
the obliquely-rifled equatorial margin of Brazil has undergone a complex tectonic
evolutionary process, where additional components such as shear and right-lateral
wrenching were present. Therefore, representing the margin as a thin homogeneous
elastic plate might be reasonable when the transition is gradual (for which the uniform
flexural rigidity assumption seems reasonable) but is probably not a good
approximation when it is as abrupt as the equatorial margin of Brazil
(2) Presence of subsurface loads - Previous studies have shown that estimates
of the average flexural rigidity of continental lithosphere using the admittance approach
are biased when subsurface loads are present. In principle, the proximity of the
Romanche Fracture Zone and associated volcanism suggest that shallow buried loads,
caused by intrusive bodies, might be present in the area. This could partially account
for the mismatch between theoretical curves and experimental admittance estimates.
(3) "Masked" estimates - The admittance estimates presented here are likely to
reflect the combination of two different signals: one related to the compensation of the
Barreirinhas/Piaui-Camocim sub-basin which has no topographic/bathymetric expression
and the other one related to the topography/bathymetry and its compensation which is of
interest in the admittance studies. Since the wavelengths of these signals do not differ by
much (around 80-100 km for the basin) it is possible that in the averaging process some
overlapping occurs. The combination of these signals could yield anomalous results
masking the admittance estimates in the diagnostic waveband.
In addition, I present a two-dimensional cross section obtained by forward
modelling the gravity anomaly along a profile using the line integral method. The uniform
sedimentary infill of the Barreirinhas/Piaui-Camocim basin is enough to account for
the gravity low over the inner shelf and no Moho topography is required. A plausible
explanation for this "rootless" basin structure is that the lithosphere is capable of
supporting the sediment infill load, and thus, has finite flexural rigidity (basin is locally
uncompensated). / Graduation date: 1990
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