Blocky velocity inversion by hybrid norm |

Inverting a regularized Dix equation using the
norm produces smooth interval velocity models. To get a blocky interval velocity estimate that is more geologically reasonable, a regularized Dix inversion needs to be done using an
-like norm. In this paper, we compare different 2D regularizations using both the
norm and the hybrid
norm to find the regularization that produces blocky velocity models while maintaining high accuracy and resolution. The results show that the hybrid
norm successfully achieves blockiness when using the first derivative in multiple directions as a regularization.

- Introduction
- Dix inversion as an -optimization problem
- Regularization by the Laplacian Operator
- Regularization by the Helix Derivative Operator
- Regularization by the First Derivative Operator in Two Directions
- Regularization by the First Derivative Operator in Four Directions
- ELF Dataset
- Conclusions and Discussions
- Future Work
- Acknowledgments
- Bibliography
- About this document ...

2010-05-19