Theory of differential offset continuation |

**Sergey Fomel**

I introduce a partial differential equation to describe the
process of prestack reflection data transformation in the offset,
midpoint, and time coordinates. The equation is proved theoretically
to provide correct kinematics and amplitudes on the transformed
constant-offset sections. Solving an initial-value problem with the
proposed equation leads to integral and frequency-domain offset
continuation operators, which reduce to the known forms of dip
moveout operators in the case of continuation to zero offset.

- Introduction
- Introducing the offset continuation equation
- Proof of validity
- Proof of kinematic equivalence
- Comparison with Bolondi's OC equation
- Offset continuation geometry: time rays
- Proof of amplitude equivalence

- Integral offset continuation operator
- Offset continuation and DMO
- Offset continuation in the log-stretch domain
- Discussion
- Conclusions
- Acknowledgments
- Bibliography
- About this document ...

2014-03-26