Image-space wave-equation tomography in the generalized source domain |

**Yaxun Tang, Claudio Guerra, and Biondo Biondi**

We extend the theory of image-space wave-equation tomography to the generalized source domain,
where a smaller number of synthesized shot gathers are generated either by data-space phase encoding or image-space phase encoding.
We demonstrate how to evaluate the wave-equation forward tomographic operator
and its adjoint in this new domain.
We compare the gradients of the tomography objective functional obtained using both data-space
and image-space encoded gathers with that obtained using the original shot gathers.
We show that with those encoded shot gathers we can obtain a gradient similar to that
computed in the original shot-profile domain, but at lower computational cost.
The saving in cost is
important for putting this theory into practical applications. We illustrate our examples on
a simple model with Gaussian anomalies in the subsurface.

- introduction
- image-space wave-equation tomography
- the tomographic operator in the shot-profile domain
- tomography with the encoded wavefields

- Numerical examples
- Conclusions
- Bibliography
- APPENDIX A
- APPENDIX B
- APPENDIX C
- About this document ...

Image-space wave-equation tomography in the generalized source domain |

2009-04-13