We present a global three-dimensional model of shear attenuation in th
e upper mantle, based on the measurement of amplitudes of low-frequenc
y (100-300s) Rayleigh waves observed at stations of the Geoscope and I
ris networks. Attenuation coefficients are measured on R1 and R2 paths
using a method which minimizes the effects of focussing due to propag
ation in a three-dimensional elastic Earth. Through a series of tests
which, in particular, involve the computation of synthetic models of a
ttenuation and focussing, we demonstrate that long wavelength lateral
variations in attenuation in the first 400-500 km of the mantle can in
deed be resolved. The model is obtained in a two-step procedure. The f
irst step consists in the computation of maps of Rayleigh wave attenua
tion at different periods, using an inversion method without a priori
parametrisation, which involves the introduction of a correlation leng
th, chosen here at 3000 km to optimize the trade-off between resolutio
n and variance in the model. In the second step, after corrections for
shallow structure, an inversion with depth is performed, assuming lat
eral heterogeneity is confined to depths between 80 and 650 km. The re
sulting model presents lateral variations in Q(beta) that are correlat
ed with tectonic features, in particular ridges and shields in the fir
st 250 km of the upper mantle. Below that depth the pattern shifts and
becomes correlated with the hotspot distribution, particularly so if
the buoyancy strength of hotspots is taken into account. Two major low
-velocity zones appear to be located in the central pacific and beneat
h northern Africa, in the depth range 300-500 km. This pattern seems t
o continue at greater depth, but resolution becomes insufficient below
500 km to draw definitive conclusions. The smooth lateral variations
retrieved are on the order of +/-50% down to 400 km. We propose an int
erpretation in terms of plume/lithosphere/ridge interaction in the upp
er mantle, arguing for de flection of the bulk of hot upwelling materi
al from plumes towards ridges, which may be occurring between 200 and
300 km depth.