Focusing inversion of geophysical data
Oleg Portniaguine and Michael S. Zhdanov
University of Utah, Department of Geology and Geophysics, Salt Lake
City, UT 84112 USA. e-mail:mzhdanov@mines.utah.edu
Abstract
One of the critical problems in inversion of geophysical data is
developing a stable inverse problem solution which at the same time can
resolve complicated geological structures. The traditional way to obtain
stable solution is based on maximum smoothness solutions. This approach,
however, provides smoothed ''unfocused'' images of real geological
structures. Recently a new approach to reconstruction of images has been
developed based on total variational (TV) stabilizing functional.
However, in geophysical applications it still produces distorted images.
In this paper we develop a new technique to solve this problem which we
call focusing inversion of geophysical data. It is based on specially
selected stabilizing functionals which minimize the area where strong
model parameters variations and discontinuity occur. We call this new
functional a minimum gradient support (MGS) functional. We demonstrate
that MGS functional in combination with the penalization function help
to generate more clear and focused images for geological structures than
conventional maximum smoothness or TV functionals. The method also
reconstructs the sharp boundaries between the geological structures with
the different physical properties. The method has been successfully
tested on synthetic models and as applied to real gravity data from
Penasquito site provided by Kennecott Corporation.
raeg98@tansa.kumst.kyoto-u.ac.jp
Last modified: Tue Oct 6 09:55:44 1998