J. Trampert et Jh. Woodhouse, GLOBAL PHASE-VELOCITY MAPS OF LOVE AND RAYLEIGH-WAVES BETWEEN 40 AND 150 SECONDS, Geophysical journal international, 122(2), 1995, pp. 675-690
Although much is known of the 3-D structure of the Earth, existing mod
els do not make use of much that is known about the large structural p
erturbations near the surface. It has long been known, for example, th
at continental and oceanic crustal structures are quite different, and
that these differences are evident in the dispersion of Love and Rayl
eigh waves sampling continental and oceanic paths. Such differences ar
e largest at periods of less than about 100 s. Existing global models
do not adequately account for such data, and make allowances for crust
al structure in a very approximate way, owing to the incompleteness of
information on the global distribution of crustal parameters. As a re
sult, variations in, for example, crustal thickness translate themselv
es into model artefacts extending to great depth. This can be seen as
one aspect of the imperfect resolution of the existing global models.
In order to construct higher resolution models of the Earth's outer sh
ell (0-200 km depth), it is necessary to gain more precise knowledge o
f near-surface structure by incorporating data that have sensitivity t
o the details of the depth distribution of heterogeneity near the surf
ace. As a first step we analyse a large data set of fundamental-mode R
ayleigh and Love waveforms to obtain global phase-velocity maps in the
period range 40-150 s. Minor and major are phase velocities have been
determined from about 24000 digital GDSN and GEOSCOPE seismograms rec
orded between 1980 and 1990. In order to make such measurements in an
automatic way, we have developed a method, using non-linear waveform i
nversion, in which velocity and amplitude, as a function of frequency,
are expanded in B-splines. The waveform data are inverted for the B-s
pline coefficients, with the application of an explicit smoothness con
straint that protects against unwanted effects, such as those due to n
otches in the amplitude spectra, and avoids some of the problems assoc
iated with the phase ambiguity. The cost function (which is minimized
in a least-squares sense) presents many local minima, and a good initi
al model is needed; this is derived by integration of group velocities
. The measurements made using this new technique are then used in a gl
obal inversion for phase-velocity distributions of Love and Rayleigh w
aves, expressed in terms of a spherical harmonic expansion. We show re
sulting phase-velocity maps up to degree and order 40. These maps are
corrected for possible artefacts due to the truncation of the spherica
l harmonic expansion. We present a detailed resolution analysis which
shows that global lateral resolution for surface-wave tomography is of
the order of 2000km. Love-wave phase velocities show a high correlati
on with known upper mantle structure at long periods and with crustal
structure at shorter periods. Similarly, Rayleigh-wave phase velocitie
s correlate well with known tectonic features, but show no clear crust
al signature owing to their different sampling of the structure with d
epth.