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103 o
C
B
P
A
E 143 o
Mantle
F
PKP
P
P
D
Inner
Core
Outer
Core
o
C 188
Figure 8.3. Ray paths for PKP, the direct P-wave passing through the mantle and
outer core. The mantle P-wave (C) which has grazing incidence on the core has an
epicentral distance of 103 . Beyond this distance, there can be no direct mantle
P-waves, although PP and PPP can be recorded at greater distances, and a weak
diffracted P can be recorded out to about 120 . Because there is a sharp decrease in
velocity for P-waves refracted into the core, rays bend towards the normal at the
mantle-core boundary and give rise to a shadow zone for P-waves. The PKP ray with
the shallowest angle of incidence on the outer core (C') is refracted and finally
emerges at an epicentral distance of 188 . With increasing angle of incidence (C', D,
E, F), PKP rays emerge at epicentral distances decreasing to 143 and then increasing
to about 155 . Each ray penetrates deeper into the outer core than does its
predecessor. Thus, no direct P-waves are recorded at epicentral distances between
103 and 143 ; this is the shadow zone. At 143 there is a caustic; the amplitude of
PKP is large (this shows clearly in Fig. 4.18). (Based on Gutenberg (1959).)
lower mantle at depths down to 2700 km is referred to as the D shell. 1 The lower-
most 150-200 km of the mantle (depth
2700-2900 km) is referred to as the D
shell. Velocities increase slowly with depth through the lower mantle. The direct
P-wave through the mantle can be observed out to 103 .Atepicentral distances
between 103 and 120 ,aweak P-wave is diffracted (Section 4.4.4)atthe core-
mantle boundary into what is called the shadow zone (Fig. 8.3). There is evidence
that velocity gradients are much reduced in the D shell. This could be due to
chemical heterogeneity and interaction between the core and mantle and/or to a
thermal boundary layer that would conduct, not convect, heat (refer to Sections
8.2 and 8.3): if the temperature at the base of the mantle is about 3000 K, there is
1
The names D and D are the sole survivors of a labelling of the internal layering of the Earth from
AtoGintroduced by Bullen in 1947. A was the crust; B the mantle down to 400 km depth; C the
mantle from 400 to 1000 km depth; D the mantle from 1000 km depth to the core; E and F the outer
core; and G the inner core.
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