The anelastic structure of the region surrounding the Tonga slab and Lau ba
ck are spreading center in the southwest Pacific is studied using data from
12 broadband island stations and 30 ocean bottom seismographs. Two differe
ntial attenuation methods determine delta t* over the frequency band 0.1 to
3.5 Hz for earthquakes in the Tonga slab. The S-P method measures the diff
erence in spectral decay between P and S waves arriving at the same station
. The P-P method measures the difference in spectral decay for P waves with
different paths through the upper mantle. Eight hundred sixty phase pairs
are used to invert for two-dimensional 1/Q(alpha), structure using a nonneg
ative least squares algorithm. A grid search method determines the Q(alpha)
/Q(beta) ratio most compatible with both the S-P and P-P differential measu
rements. The highest attenuation (Q(alpha) = 90) is found within the upper
100 km beneath the active portions of the Lau Basin extending westward to t
he Lau Ridge. These regions probably delineate the source region for the ba
ck are spreading center magmas, expected to be within the upper 100 km base
d on petrological considerations. The high attenuation regions also correla
te well with zones of low P wave velocity determined by regional velocity t
omography. Somewhat lower attenuation is found beneath the Fiji Plateau tha
n beneath the Lau Basin. The entire back are is characterized by a gradual
decrease in attenuation to a depth of 300 to 400 km. The slab is imaged as
a region of low attenuation (Q(alpha) > 900) material. A Q(alpha)/Q(beta) r
atio of 1.75 provides the best fit between the S-P and P-P data sets upon i
nversion. Spectral stacking shows no frequency dependence within the freque
ncy band analyzed.