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SEISMIC INVERSION BY A RMS BORN APPROXIMATION IN THE SPACE‐TIME DOMAIN 1
Author(s) -
FOKKEMA JAKOB T.,
BERG PETER M.
Publication year - 1989
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.1365-2478.1989.tb01821.x
Subject(s) - seismogram , inversion (geology) , point source , azimuth , physics , geology , mathematical analysis , optics , mathematics , seismology , tectonics
A bstract A new approximate method to calculate the space‐time acoustic wave motion generated by an impulsive point source in a horizontally layered configuration is presented. The configuration consists of a stack of fluid layers between two acoustic half‐spaces where the source and the receiver are located in the upper half‐space. A distorted‐wave Born approximation is introduced; the important feature of the method is the assumption of a background medium with vertical varying root‐mean‐square acoustic wave speed. A closed‐form expression for the scattered field in space and time as a function of the contrast parameters is deduced. The result agrees closely with rigorously calculated synthetic seismograms. In the inverse scheme the wave speed and mass density can be reconstructed within a single trace. Results of the inversion scheme applied to synthetic data are shown.