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LINEARIZED INVERSION OF SEISMIC REFLECTION DATA*
- Source: Geophysical Prospecting, Volume 32, Issue 6, Nov 1984, p. 998 - 1015
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- 27 Apr 2006
Abstract
Abstract
This is the first of a series of papers giving the solution of the inverse problem in seismic exploration. The acoustic approximation is used together with the assumption that the velocity field has the form
. The forward problem is then linearized (thus neglecting multiple reflected waves) and the inverse problem of estimating δ is set up. Its rigorous solution can be obtained using an iterative algorithm, each step consisting of a classical Kirchhoff migration (hyperbola summation) plus a classical forward modeling step (circle summation).