Naoshi Aoki, University of Utah

Click here to view the HTML version of the thesis.
Click here to download the Microsoft PowerPoint presentation of the oral defense. (4.3M)
Click here to download the PDF file of the thesis. (1.8MB)
Click here to download the PostScript file of the thesis. (19MB)
Click here to download the Latex texts and the PostScript figures for the thesis. All the Latex texts and EPS files are tared into a tar file naoshi_aoki_thesis.tar.gz (47MB)
Click here to visit a MATLAB deblurring lab.


Least squares migration (LSM) is a linearized waveform inversion for estimating a subsurface reflectivity model that, relative to conventional migration, offers improved spatial resolution of migration images. The cost, however, is that LSM typically requires 10 or more iterations, which is about 20 times or more the CPU cost of conventional migration. To alleviate this expense, I present a deblurring filter that can be employed in either a regularization scheme or a preconditioning scheme to give acceptable LSM images with less than 1/3 the cost of the standard LSM method. My results in applying deblurred LSM (DLSM) to synthetic data and field data support this claim. In particular, a Marmousi2 model test showed that the data residual for preconditioned DLSM decreases rapidly in the first iteration, which is equivalent to 10 or more iterations of LSM. Empirical results suggest that regularized DLSM after 3 iterations is equivalent to about 10 iterations of LSM. Applying DLSM to 2-D marine data gives a higher resolution image compared to those from migration or LSM with 3 iterations. These results suggest that LSM combined with a deblurring filter allows LSM to be a fast and practical tool for improved imaging of complicated structures.