Abstract
We applied the stochastic method of Gudmundsson, Davies & Clayton (1990) (which was applied to ISC Pwave data) to teleseismic ISC Swave data to obtain an independent estimate of mantle structure. We inverted the variance of Swave traveltime residuals of bundles of rays to obtain a description of the spectrum of lateral heterogeneity as a function of depth through the mantle. The technique yields robust estimates of the traveltime scattering power (the product of a characteristic scalelength of heterogeneity and the mean square of slowness perturbations). We can estimate the characteristic scalelength (halfwidth), from the autocovariance; which can be reconstructed from the spectra. Hence by division, we can estimate the root mean square slowness. By extrapolating the variance of bundles of rays to bundles of zero crosssectional area we can also estimate the scaleincoherent signal (which is a plausible estimate of the noise in the data), which is removed from the data.
We find that most of the structure generating shear wave traveltime residuals is located in the uppermost mantle. About half of the structure is short scale (harmonic degree l > 50). The largescale structure (l > 50) has a halfwidth of about 500 km in the upper half of the mantle. This Swave halfwidth is consistent with the Pwave halfwidths determined by Gudmundsson et al. (1990). The Swave halfwidth in the lower half of the mantle is poorly constrained. It varies from 500 to 3000 km, which spans the better constrained value of 1200 km found by Gudmundsson et al. (1990) for Pwaves. The incoherent scatter suggests that the signaltonoise ratio of the Swave data set is around 1.5.
Assuming that the compressional and shear wave velocity variations are correlated then the signal weighted value of the ratio d In (Vs)/d In (Vp) is ∼ 2, as also found in normal mode studies. This is much larger than the value of ∼ 0.8–1.4 suggested by laboratory experiments undertaken at atmospheric pressure. There is no evidence of periodicity in the traveltime autocovariance; this suggests little or no periodicity in the underlying convection. The short halfwidth through most of the mantle suggests high Rayleigh number convection, with its attendant smallscale structures. The power decreases by an order of magnitude or more in going from the upper mantle to the lower mantle, the same as found by Gudmundsson et al. (1990) for Pwaves. This large difference suggests either a change in convective regime and/or a difference in the temperature sensitivity of elastic constants in both layers. The increased shortscale structure at the top of the mantle suggests that a large part of the seismic signature at this boundary is compositional, since one would expect a red spectrum for a thermal boundary layer. The derived spectra between l∼ 10 and l∼ 50 are similar in shape to spectra from the mantle convection simulations of Glatzmaier (1988) with a Rayleigh number of 106107, which would suggest layered convection, if the comparison is valid.
Item Type: 
Article

Date Type: 
Publication 
Status: 
Published 
Schools: 
Earth and Ocean Sciences 
Subjects: 
Q Science > QE Geology 
Uncontrolled Keywords: 
body waves; inversion; stochastic; traveltime variance 
Additional Information: 
Pdf uploaded in accordance with publisher's policy at http://www.sherpa.ac.uk/romeo/issn/0956540X/ (accessed 19/02/2014). 
Publisher: 
Royal Astronomical Society 
ISSN: 
0956540X 
Date of First Compliant Deposit: 
30 March 2016 
Last Modified: 
04 Jun 2017 02:11 
URI: 
http://orca.cf.ac.uk/id/eprint/10783 
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