1 least squares datuming yanwei xue sep. 18, 2009
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1
LEAST SQUARES DATUMING
Yanwei Xue
Sep. 18, 2009
2
OUTLINE
Theory VSP->SWP.
o OBS Data Example.o Application on Target Oriented RTM.
VSP surface related multiples->SSP.o Flat 3 layer model example.o SEG/EAGE model Example.
3
Two state model
4
)()|()( 022 AxxAGk )()|()( 22 BxxBGk
)|()()|()()|()|()|()|( 02
002 xBGAxxAGBxxBGxAGxAGxBG
)|(0 xAG)|( xBG
1
)|()|(
)|()|()|( 0
0
Sxx
dxn
xBGxAG
n
xAGxBGBAG
State 1 State 2
5
)|()|( 00 xAGxAG )|()|()|( xBGxBGxBG
)|()|(
00 xAikGn
xAG
x
)|()|(
)|(xBikGxBikG
n
xBG
x
1
)|()|()|( 0SdxxAGxBGBAG
1
)|()|()|( 0SdxxAPxBGBAP
State 1 State 2
6
OUTLINE
Theory VSP->SWP.
o OBS Data Example.o Application on Target Oriented RTM.
VSP surface related multiples->SSP.o Flat 3 layer model example.o SEG/EAGE model Example.
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8
Input VSP Data G’s Function
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S.I.D. Real
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L.S.D. Real
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OUTLINE
Theory VSP->SWP.
o OBS Data Example.o Application on Target Oriented RTM.
VSP surface related multiples->SSP.o Flat 3 layer model example.o SEG/EAGE model Example.
12
VSPSRM->SSP
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VSPSRM->SSP
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Down-going waves (receiver side)
Up-going waves (receiver side)
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Down-going waves S.I.D
Up-going waves S.I.D
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Down-going waves L.S.D
Up-going waves L.S.D
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Real SSP
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OUTLINE
Theory VSP->SWP.
o OBS Data Example.o Application on Target Oriented RTM.
VSP surface related multiples->SSP.o Flat 3 layer model example.o SEG/EAGE model Example.
20
21
Down-going waves (receiver side)
Up-going waves (receiver side)
22
Down-going waves S.I.D
Up-going waves S.I.D
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Down-going waves L.S.D
Up-going waves L.S.D
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Real SSP