Open AccessGeneralized Born inversion of seismic reflection data
Author(s) -
Foster Douglas J.,
Carrion Philip M.
Publication year - 1986
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1986.tb04516.x
Subject(s) - inversion (geology) , algorithm , seismic inversion , source function , wavelet , inverse problem , recursion (computer science) , inverse , inverse theory , computer science , reflection (computer programming) , inverse scattering problem , wiener filter , mathematics , mathematical analysis , geology , seismology , geometry , surface wave , physics , telecommunications , artificial intelligence , azimuth , astrophysics , tectonics , programming language
Summary . Born inverse methods give accurate and stable results when the source wavelet is impulsive. However, in many practical applications (reflection seismology) an impulsive source cannot be realized and the inversion needs to be generalized to include an arbitrary source function. In this paper, we present a Born solution to the seismic inverse problem which can accommodate an arbitrary source function and give accurate and stable results. It is shown that the form of the generalized inversion algorithm reduces to a Wiener shaping ***filter, which is solved efficiently using a Levinson recursion algorithm. Numerical examples of synthetic and real field data illustrate the validity of our method.