Diffraction traveltime curves
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Series | Geophysical References Series |
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Title | Problems in Exploration Seismology and their Solutions |
Author | Lloyd P. Geldart and Robert E. Sheriff |
Chapter | 6 |
Pages | 181 - 220 |
DOI | http://dx.doi.org/10.1190/1.9781560801733 |
ISBN | ISBN 9781560801153 |
Store | SEG Online Store |
Problem 6.5a
Show that the slope of the diffraction curve with source in Figure 6.5a(i) approaches for large .
Solution
The diffraction path is in Figure 6.5a(i), so the traveltime curve is
For , the equation of the curve becomes
which is a straight line with slope for , for . The traveltime approaches these asymptotes as
Alternative solution
The slope of the traveltime curve is
For , the slope is as before.
Problem 6.5b
What is the asymptote slope for a coincident source-receiver?
Solution
The traveltime curve for Figure 6.5a(ii) is given by
As increases, . The asymptote has the equation , which is a straight line with slope
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Effect of reflector curvature on a plane wave | Amplitude variation with offset for seafloor multiples |
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Geometry of seismic waves | Characteristics of seismic events |
Also in this chapter
- Characteristics of different types of events and noise
- Horizontal resolution
- Reflection and refraction laws and Fermat’s principle
- Effect of reflector curvature on a plane wave
- Diffraction traveltime curves
- Amplitude variation with offset for seafloor multiples
- Ghost amplitude and energy
- Directivity of a source plus its ghost
- Directivity of a harmonic source plus ghost
- Differential moveout between primary and multiple
- Suppressing multiples by NMO differences
- Distinguishing horizontal/vertical discontinuities
- Identification of events
- Traveltime curves for various events
- Reflections/diffractions from refractor terminations
- Refractions and refraction multiples
- Destructive and constructive interference for a wedge
- Dependence of resolvable limit on frequency
- Vertical resolution
- Causes of high-frequency losses
- Ricker wavelet relations
- Improvement of signal/noise ratio by stacking