# Noise and Multiple Exercises

Series | Investigations in Geophysics |
---|---|

Author | Öz Yilmaz |

DOI | http://dx.doi.org/10.1190/1.9781560801580 |

ISBN | ISBN 978-1-56080-094-1 |

Store | SEG Online Store |

**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?

## See also

- 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