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Efficient calculation of a partial-derivative wavefield using reciprocity for seismic imaging and inversion
Cited 103 time in
Web of Science
Cited 173 time in Scopus
- Authors
- Issue Date
- 2001
- Citation
- Geophysics, 66, 1856-1863
- Abstract
- Linearized inversion of surface seismic data for a
model of the earths subsurface requires estimating the
sensitivity of the seismic response to perturbations in the
earths subsurface. This sensitivity, or Jacobian, matrix is
usually quite expensive to estimate for all but the simplest
model parameterizations.We exploit the numerical
structure of the finite-element method, modern sparse
matrix technology, and source–receiver reciprocity to develop
an algorithm that explicitly calculates the Jacobian
matrix at only the cost of a forward model solution. Furthermore,
we show that we can achieve improved subsurface
images using only one inversion iteration through
proper scaling of the image by a diagonal approximation
of the Hessian matrix, as predicted by the classical
Gauss-Newton method. Our method is applicable to the
full suite of wave scattering problems amenable to finiteelement
forward modeling.We demonstrate our method
through some simple 2-D synthetic examples.
- ISSN
- 0016-8033
- Language
- English
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