Ml. Passier et Rk. Snieder, ON THE PRESENCE OF INTERMEDIATE-SCALE HETEROGENEITY IN THE UPPER-MANTLE, Geophysical journal international, 123(3), 1995, pp. 817-837
Power spectra of tomographic models of the entire earth and of models
of Europe and the Mediterranean area are compared. This comparison rev
eals a discrepancy (a factor 15-30) between the power of both kinds of
models at intermediate spherical-harmonic degrees (around l = 30). Tw
o possible explanations for this discrepancy are given: first, the fac
t that Europe is more complex than the global average; and second, the
lack of resolution in the inversions. Another approach to the problem
of the power spectrum of heterogeneities of intermediate length scale
is the study of multipathing of long-period surface waves. The multip
athing observed in the recordings of these waves, which manifests itse
lf as an increasing complexity of their amplitude spectra due to incre
asing interference of spectral components with increasing epicentral d
istance, cannot be explained by present-day global earth models. The g
radients in the models are simply not strong enough. However, random m
odels with more power at intermediate scales, and consequently stronge
r gradients, are able to explain the observed multipathing. It is conc
luded that the global models underestimate the power in the heterogene
ities of intermediate-scale structure in the earth. Finally, an explan
ation is given why current global models, although they do not contain
sufficient power at shorter scales, do explain the traveltime and dis
persion data used for the construction of the models.