Geology Reference
In-Depth Information
As a result, the average total energy density is
proportional to the squared wave amplitude and
to the square of angular frequency:
3. Find a test to determine if a material is a
Poisson solid from measurements of seismic
velocity;
4. Find an expression for determining the Pois-
son ratio from measurements of seismic veloc-
ity;
5. Determine the relation between elastic mod-
uli, Lamé parameters, and the velocities ' and
“ when
D
-1 and
D
0;
6. Estimate the '/“ ratio from a set of arrival
times of
P
and
S
waves at seismic stations.
1
2
¡
A
2
¨
2
h
E
i
D
h
K
i
C
h
W
i
D
(8.59)
This result implies that for any given ampli-
tude high-frequency waves carry a greater quan-
tity of energy per wavelength. More information
about this topic can be found in the topic of
Shearer (
2009
).
Problems
References
1. Download the MS Excel file PREM.xlsx, con-
taining the PREM model, from the supple-
mental material web site. Use this file to de-
termine how long time takes a downward di-
rected
P
wave generated at the Earth's surface
to reach the antipodal point;
2. Determine an expression for the strain tensor
of a monochromatic wave travelling in the
x
direction;
Aki K, Richards PG (2002) Quantitative seismology, 2nd
edn. University Science Books, Sausalito, 700 pp
Dziewonski AM, Anderson DL (1981) Preliminary ref-
erence
Earth
model.
Phys
Earth
Planet
Inter
25:
297-356
Ranalli G (1995) Rheology of the Earth, 2nd edn. Chap-
man & Hall, London, 413 pp
Shearer PM (2009) Introduction to seismology, 2nd
edn. Cambridge University Press, Cambridge, UK,
396 pp
