Noise and Multiple Exercises
Exercise 6-1. Prove that a hyperbola in the offset domain (x, t) maps onto an ellipse in the slant-stack domain (τ, p).
Exercise 6-2. Refer to Figure 6.E-1. What would the t − x domains look like?
Exercise 6-3. Consider constructing the slant-stack gather from offset data that consists of a reflection hyperbola. Does equal increment in p, the ray parameter, cause undersampling or oversampling of the steep dips? Of the gentle dips? What happens when an equal increment in 1/p is used? What happens when an equal increment in θ is used, where θ is related to p by p = sin θ/v?
Exercise 6-4. Identify event E in Figure 6.2-1.
Exercise 6-5. What procedure does CMP stacking correspond to in the f − k domain?
- Introduction to noise and multiple attenuation
- Multiple attenuation in the CMP domain
- Frequency-wavenumber filtering
- The slant-stack transform
- The radon transform
- Linear uncorrelated noise attenuation
- Multichannel filtering techniques for noise and multiple attenuation