A simple method to incorporate correlation information into the inversion process in full-wave tomography
Terumitsu TSUCHIYA
DIA Consultants Co., Ltd.
2-272-3 Yoshino, Ohmiya, Saitama 330-8660, Japan.
E-mail: terry@dpc.diaconsult.co.jp
Abstract
Inversion process in the Full-wave tomography (FWT) is relatively weak
for noise intrusion than the conventional ray tomography, if it is
applied without taking care of the data uncertainty.
The standard method of FWT inversion is based on Tarantola's
probabilistic theory and it deals with the data uncertainty on the
comparison with the model uncertainty. Hence a faithful tracking of his
formula naturally leads to the solution of the problem. However his
formula is not easy to realize in the practical calculation. So I
simplified his formula and found that incorporation of correlation
information of medium can be an approximation of his method.
Then I did a numerical study to verify the efficacy of the method;
incorporation of correlation information. Since one of the efficacies of
FWT is its high resolving power, I set up a discontinuous structure to
see if it maintain the resolution at the discontinuity. As a result of
the study I found the method can improve the tomogram maintaining the
resolution. If the method can be extended in a general 2D structure, it
can be a useful technique to overcome the problem of noise intrusion.
I will present in the meeting the result of this study.
raeg99@tansa.kumst.kyoto-u.ac.jp
Last modified: Thu Nov 18 10:57:00 1999