Abstract

SUMMARY A general tomographic technique is designed in order (i) to operate in anisotropic media; (ii) to account for the uneven seismic sampling and (iii) to handle massive data sets in a reasonable computing time. One modus operandi to compute a 3-D body wave velocity model relies on surface wave phase velocity measurements. An intermediate step, shared by other approaches, consists in translating, for each period of a given mode branch, the phase velocities integrated along ray paths into local velocity perturbations. To this end, we develop a method, which accounts for the azimuthal anisotropy in its comprehensive form. The weakly non- linear forward problem allows to use a conjugate gradient optimization. The Earth's surface is regularly discretized and the partial derivatives are assigned to the individual grid points. Possible lack of lateral resolution, due to the inescapable uneven ray path coverage, is taken into account through the a priori covariances on parameters with laterally variable correlation lengths. This method allows to efficiently separate the 2ψ and the 4ψ anisotropic effects from the isotropic perturbations. Fundamental mode and overtone phase velocity maps, derived with real Rayleigh wave data sets, are presented and compared with previous maps. The isotropic models concur well with the results of Trampert & Woodhouse. Large 4ψ heterogeneities are located in the tectonically active regions and over the continental lithospheres such as North America, Antarctica or Australia. At various periods, a significant 4ψ signature is correlated with the Hawaii hotspot track. Finally, concurring with the conclusions of Trampert & Woodhouse, our phase velocity maps show that Rayleigh wave data sets do need both 2ψ and 4ψ anisotropic terms.

Highlights

  • When focusing on approaches relying on surface wave velocity measurements—well suited for global and regional studies—the inversion procedures are obviously different from one to each other

  • We present our method, entitled Computation of Large Anisotropic Seismic Heterogeneities, to produce global isotropic and anisotropic phase velocity maps

  • The same methodology is followed: (i) Starting from a given synthetic set of parameters, velocities integrated along spherical paths, denoted as Cj(ω) in eq (6), are computed by using the forward problem equation

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Summary

Introduction

Since the early 1980’s, seismologists have made rapid progress in determining the global 3-D structure of the mantle (Dziewonski 1984; Woodhouse & Dziewonski 1984, 1986; Nataf et al 1986; Tanimoto 1990; Montagner & Tanimoto 1991; Su et al 1994; Li & Romanowicz 1995; Trampert & Woodhouse 1996; Grand et al 1997; van der Hilst et al 1997; Ekstrom & Dziewonski 1998; Laske & Masters 1998; Ritsema et al 1999; Megnin & Romanowicz 2000; Ritsema & van Heijst 2000; Debayle et al 2005, among many others) Such improvements were made possible thanks to the impressive increase of high-quality data sets and to the incorporation of sophisticated wave propagation theories taking into account anisotropy and anelasticity or finite frequency kernels. A common feature shared by several of them is a regionalization step, which consists in translating the integrated velocities between two points, into local perturbations

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