Results from linear and nonlinear global travel-time tomography

Recent global travel time tomography studies by Zhou [1996] and Van der Hilst et al. [1997] have been performed with cell parameterizations on the order of those frequently used in regional tomography studies (i.e. with cell sizes of 1-2 degrees). These new global models constitute a considerable improvement of previous results that were obtained with rather coarse parameterizations (5 degree cells). The inferred structures are however of larger scale than is usually obtained in regional models and it is not clear where and if individual cells are actually resolved. Furthermore, these global models have been constructed from a linearized inversion in which the bending of ray paths due to lateral heterogeneity has not been taken into account. This may, however, be very important when imaging small-scale structure.
We have first performed a linear inversion in which we aimed at resolving lateral heterogeneity on a smallest scale of 0.6 degrees in the upper mantle and of approximately 1.2-3 degrees in the lower mantle. This allowed for the adequate mapping of expected small-scale structures induced by, e.g. lithosphere subduction and hotspots. To arrive at this, for global tomography, very detailed image we employed an irregular grid of non-overlapping cells adapted to the heterogeneous sampling of the Earth's mantle by seismic waves. Furthermore, we exploited a totally reprocessed version of the global data set of the International Seismological Center.
We will present the important features of the linear inversion, which are: 100-200 km thin high velocity slabs beneath all major subduction zones, sometimes flattening in the transition zone, sometimes directly penetrating into the lower mantle; large high velocity anomalies in the lower mantle that have been attributed by Van der Hilst et al. [1997] and Grand et al. [1997] to subduction of the Tethys ocean and the Farallon plate; low velocity plumes continuing across the 660 km discontinuity to hotspots at the surface under Iceland, East Africa, the Canaries, Yellowstone, and the Society Islands.
The linear inversion can be regarded as the first step of a nonlinear inversion scheme which is set up as a series of linear inversions and ray tracing steps. In each ray tracing step the entire data set (approximately 5 million rays) needs to be raytraced through the updated velocity model, which leads to new travel-times and ray paths that can be used for the next linear inversion. First results of this nonlinear inversion will be presented as well and we will investigate the importance of ray bending in global travel-time tomography.