# Parallelism of half-intercept and delay-time curves

Series | Geophysical References Series |
---|---|

Title | Problems in Exploration Seismology and their Solutions |

Author | Lloyd P. Geldart and Robert E. Sheriff |

Chapter | 11 |

Pages | 415 - 468 |

DOI | http://dx.doi.org/10.1190/1.9781560801733 |

ISBN | ISBN 9781560801153 |

Store | SEG Online Store |

## Problem 11.10

Prove that a half-intercept curve is parallel to the curve of the total delay time (see Figure 11.10a).

### Solution

Referring to Figure 11.10a, we can write

[see equations (11.9b)]. Thus is a linear function of with slope . The total delay time is

being constant. If we substitute (see Figure 11.9a) in equation (11.8a), we obtain the result

Thus the total delay-time curve is parallel to the half-intercept time curve and lies above it the distance .

## Continue reading

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Barry’s delay-time refraction interpretation method | Wyrobek’s refraction interpretation method |

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Geologic interpretation of reflection data | 3D methods |

## Also in this chapter

- Salt lead time as a function of depth
- Effect of assumptions on refraction interpretation
- Effect of a hidden layer
- Proof of the ABC refraction equation
- Adachi’s method
- Refraction interpretation by stripping
- Proof of a generalized reciprocal method relation
- Delay time
- Barry’s delay-time refraction interpretation method
- Parallelism of half-intercept and delay-time curves
- Wyrobek’s refraction interpretation method
- Properties of a coincident-time curve
- Interpretation by the plus-minus method
- Comparison of refraction interpretation methods
- Feasibility of mapping a horizon using head waves
- Refraction blind spot
- Interpreting marine refraction data