Magnitudes of seismic wave parameters

From SEG Wiki
Jump to navigation Jump to search

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:

  1. weathering, 100 and 500 m/s (minimum and average values);
  2. water, 1500 m/s;
  3. sands and shales, 2000 (poorly consolidated) and 3300 m/s;
  4. limestone, 4300 (porous) and 5500 m/s;
  5. salt, 4600 m/s;
  6. 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

Previous section Next section
Sum of waves of different frequencies and group velocity Potential functions used to solve wave equations
Previous chapter Next chapter
Introduction Partitioning at an interface

Table of Contents (book)

Also in this chapter

External links

find literature about
Magnitudes of seismic wave parameters
SEG button search.png Datapages button.png GeoScienceWorld button.png OnePetro button.png Schlumberger button.png Google button.png AGI button.png