A BRIEF COMPARISON OF SOME KIRCHHOFF INTEGRAL FORMULAS FOR MIGRATION AND INVERSION

被引:76
作者
DOCHERTY, P
机构
关键词
D O I
10.1190/1.1443136
中图分类号
P3 [地球物理学]; P59 [地球化学];
学科分类号
0708 ; 070902 ;
摘要
Kirchhoff migration has traditionally been viewed as an imaging procedure. Usually, few claims are made regarding the amplitudes in the imaged section. In recent years, a number of inversion formulas, similar in form to those of Kirchhoff migration, have been proposed. A Kirchhoff-type inversion produces not only an image but also an estimate of velocity variations, or perhaps reflection coefficients. The estimate is obtained from the peak amplitudes in the image. In this paper prestack Kirchhoff migration and inversion formulas for the one-parameter acoustic wave equation are compared. Following a heuristic approach based on the imaging principle, a migration formula is derived which turns out to be identical to one proposed by Bleistein for inversion. Prestack Kirchhoff migration and inversion are, thus, seen to be the same-both in terms of the image produced and the peak amplitudes of the output.
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页码:1164 / 1169
页数:6
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共 30 条
[11]  
COEN S, 1983, 53RD ANN INT M SOC E, P391
[12]   3-DIMENSIONAL BORN INVERSION WITH AN ARBITRARY REFERENCE [J].
COHEN, JK ;
HAGIN, FG ;
BLEISTEIN, N .
GEOPHYSICS, 1986, 51 (08) :1552-1558
[13]   VELOCITY INVERSION USING A STRATIFIED REFERENCE [J].
COHEN, JK ;
HAGIN, FG .
GEOPHYSICS, 1985, 50 (11) :1689-1700
[14]   REVERSE-TIME WAVE-FIELD EXTRAPOLATION, IMAGING, AND INVERSION [J].
ESMERSOY, C ;
ORISTAGLIO, M .
GEOPHYSICS, 1988, 53 (07) :920-931
[15]   MULTIDIMENSIONAL BORN VELOCITY INVERSION - SINGLE WIDEBAND POINT-SOURCE [J].
ESMERSOY, C ;
ORISTAGLIO, ML ;
LEVY, BC .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1985, 78 (03) :1052-1057
[16]   COMPUTER MIGRATION OF OBLIQUE SEISMIC-REFLECTION PROFILES [J].
FRENCH, WS .
GEOPHYSICS, 1975, 40 (06) :961-980
[17]   ELEMENTS OF MIGRATION AND VELOCITY ANALYSIS [J].
GARDNER, GHF ;
FRENCH, WS ;
MATZUK, T .
GEOPHYSICS, 1974, 39 (06) :811-825
[18]   COMPUTATIONAL INVERSE SCATTERING IN MULTI-DIMENSIONS [J].
GRAY, SH .
INVERSE PROBLEMS, 1988, 4 (01) :87-101
[19]   EFFICIENT TRAVELTIME CALCULATIONS FOR KIRCHHOFF MIGRATION [J].
GRAY, SH .
GEOPHYSICS, 1986, 51 (08) :1685-1688
[20]   PARAXIAL RAY KIRCHHOFF MIGRATION [J].
KEHO, TH ;
BEYDOUN, WB .
GEOPHYSICS, 1988, 53 (12) :1540-1546