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LINEARIZED INVERSION OF SEISMIC REFLECTION DATA *
Author(s) -
TARANTOLA A.
Publication year - 1984
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1984.tb00751.x
Subject(s) - hyperbola , inverse problem , inversion (geology) , inverse theory , regional geology , geology , inverse , reflection (computer programming) , series (stratigraphy) , mathematical analysis , geophysics , mathematics , hydrogeology , metamorphic petrology , seismology , geometry , surface wave , optics , computer science , physics , paleontology , tectonics , programming language , geotechnical engineering
A bstract 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).
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