Problem 2.8
The magnitudes of period
, wavelength
, wavenumber
, frequency
, and angular frequency
are important in practical situations. Calculate
,
, and
for 15 and 60 Hz for the following velocity situations:
- weathering, 100 and 500 m/s (minimum and average values);
- water, 1500 m/s;
- sands and shales, 2000 (poorly consolidated) and 3300 m/s;
- limestone, 4300 (porous) and 5500 m/s;
- salt, 4600 m/s;
- anhydrite, 6100 m/s.
Solution
The period
equals
, so
s for
Hz and
s for
Hz. Also,
,
. Using these equations we get the values of
and
in Table 2.8a.
Table 2.8a. Magnitudes of
,
, and
.
|
|
For Hz
|
For Hz
|
|
(km/s)
|
(s)
|
(m)
|
|
(s)
|
(m)
|
|
Weathering (min.)
|
0.1
|
0.067
|
7
|
0.7
|
0.017
|
2
|
4
|
Weathering (avg.)
|
0.5
|
0.067
|
30
|
0.2
|
0.017
|
8
|
0.8
|
Water
|
1.5
|
0.067
|
100
|
0.063
|
0.017
|
25
|
0.25
|
Poorly consolidated sandstone-shales at 0.75 km
|
2.0
|
0.067
|
130
|
0.047
|
0.017
|
33
|
0.19
|
Tertiary clastics at 3.00 km
|
3.3
|
0.067
|
220
|
0.029
|
0.017
|
55
|
0.11
|
Porous limestone
|
4.3
|
0.067
|
290
|
0.022
|
0.017
|
72
|
0.088
|
Dense limestone
|
5.5
|
0.067
|
370
|
0.017
|
0.017
|
92
|
0.069
|
Salt
|
4.6
|
0.067
|
310
|
0.020
|
0.017
|
77
|
0.082
|
Anhydrite
|
6.1
|
0.067
|
410
|
0.015
|
0.017
|
100
|
0.062
|
Continue reading
Also in this chapter
External links
find literature about Magnitudes of seismic wave parameters
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