T-matrix approach to seismic forward modelling in the acoustic approximation |
| |
| Authors: | Morten Jakobsen |
| |
| Institution: | 1. Department of Earth Science and Centre for Integrated Petroleum Research, University of Bergen, Bergen, Norway
|
| |
| Abstract: | Forward seismic modelling in the acoustic approximation, for variable velocity but constant density, is dealt with. The wave
equation and the boundary conditions are represented by a volume integral equation of the Lippmann-Schwinger (LS) or Fredholm
type. A T-matrix (or transition operator) approach from quantum mechanical potential scattering theory is used to derive a
family of linear and nonlinear approximations (cluster expansions), as well as an exact numerical solution of the LS equation.
For models of 4D anomalies involving small or moderate contrasts, the Born approximation gives identical numerical results
as the first-order t-matrix approximation, but the predictions of an exact T-matrix solution can be quite different (depending
on spatial extention of the perturbations). For models of fluid-saturated cavities involving large or huge contrasts, the
first-order t-matrix approximation is much more accurate than the Born approximation, although it does not lead to significantly
more time-consuming computations. If the spatial extention of the perturbations is not too large, it is practical to use the
exact T-matrix solution which allows for arbitrary contrasts and includes all the effects of multiple scattering. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
