Schaum's Outline of Microeconomics, 4th edition (Schaum's Outline Series)
Outline
description
Transcript of Outline
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3D illumination analysis using wave equation based
propagator Xiao-Bi Xie
University of California, Santa Cruz Shengwen Jin
Screen Imaging Technology Inc. Ru-Shan Wu
University of California, Santa Cruz
October, 2003, Dallas, Texas
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Outline
O IntroductionO Illumination analysisO Directional illuminationO Acquisition dip-responseO 3D numerical examples using
SEG/EAGE salt modelO Summary
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Outline
O IntroductionO Illumination analysisO Directional illuminationO Acquisition dip-responseO 3D numerical examples using
SEG/EAGE salt modelO Summary
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The seismic illumination analysis is a useful estimate that gives potential detecting power of a specific acquisition system for a given structure.
Ray tracing based techniqueProvides both the intensity and direction information High efficientLimited by the high frequency asymptotic approximation
Full-wave finite-difference method Usually provides only the total illuminationExpensive
One-way wave-equation based method Wave-equation basedLocal plane wave analysis to provide direction information3D full-volume capabilityConsistent with the wave equation based migration/imaging
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Different methods for extracting localized angle information from migrated wavefields
Ray tracing/Gaussian beam based techniquegive the wave propagation direction from the ray diagram
Shot domain common image gatheraverage direction between the source and the target
Plane source directional source from the surface
Offset-domain one-way wave equation method Offset plane wave
Wavelet transform based method use wavelet transform to give information localized in both space and angle
Local plane wave analysisLocal plane wave analysis to provide directional information
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,,;,),,,;( zuwFzu TSTTTTS xrxxKxr ,
),,;( zu TS xr i n c o m i n g w a v e w 2 D w i n d o w r S s o u r c e l o c a t i o n , K T l o c a l w a v e n u m b e
),,,;( TTS zu Kxr l o c a l p l a n e w a v e F [ ? ] 2 D F F T .
),,,;( TTS zu Kxr ),,,;( θxr zu TS
K T θ = ( θ , φ ) θ ( K T ) = s i n - 1 ( K T / k ) φ ( K T ) = t a n - 1 ( K Y / K X )
,,;,),,,;( zuwFzu TSTTTTS xrxxKxr ,
),,;( zu TS xr i n c o m i n g w a v e w 2 D w i n d o w r S s o u r c e l o c a t i o n , K T l o c a l w a v e n u m b e
),,,;( TTS zu Kxr l o c a l p l a n e w a v e F [ ? ] 2 D F F T .
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K T θ = ( θ , φ ) θ ( K T ) = s i n - 1 ( K T / k ) φ ( K T ) = t a n - 1 ( K Y / K X )
Angle domain analysis for extrapolated wavefields
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Outline
O IntroductionO Illumination analysisO Directional illuminationO Acquisition dip-responseO 3D numerical examples using
SEG/EAGE salt modelO Summary
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Illumination analysis using ray based method (Muerdter 2001)
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Illumination analysis using wave equation based method
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A sketch showing (a) the directional illumination (DI) and (b) the acquisition dip-response (ADR).
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Acquisition system
DI ADR
Favoritetarget dip
unfavoritetarget dip
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Outline
O IntroductionO Illumination analysisO Directional illuminationO Acquisition dip-responseO 3D numerical examples using
SEG/EAGE salt modelO Summary
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D i r e c t i o n a l I l l u m i n a t i o n T h e i n t e n s i t y a n d d i r e c t i o n o f t h e i n c o m i n g e n e r g y
),,,;(),,,;(),,,;( θxrθxrθxr zuzuzI TSTSTS
F o r a n a c q u i s i t i o n s y s t e m c o m p o s e d o f m u l t i p l e s o u r c e s ,
S
zIzI TSTr
θxrθx ),,,;(),,,( .
D I c a n b e f u r t h e r s o r t e d a c c o r d i n g t o d i f f e r e n t p u r p o s e s t o g i v e u s e f u l i n f o r m a t i o n .
D i r e c t i o n a l I l l u m i n a t i o n T h e i n t e n s i t y a n d d i r e c t i o n o f t h e i n c o m i n g e n e r g y
),,,;(),,,;(),,,;( θxrθxrθxr zuzuzI TSTSTS
F o r a n a c q u i s i t i o n s y s t e m c o m p o s e d o f m u l t i p l e s o u r c e s ,
S
zIzI TSTr
θxrθx ),,,;(),,,( .
D I c a n b e f u r t h e r s o r t e d a c c o r d i n g t o d i f f e r e n t p u r p o s e s t o g i v e u s e f u l i n f o r m a t i o n .
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Locations of surface sources used for DI calculation,3600 shots areused to simulate marine type acquisition
3D SEG/EAGE Salt Model
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DI maps for 3DSEG/EAGE Salt Model V-model
45º left
Vertical
45º right
cross sections at y = 6100 m
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Locations of surface sources.45 shots are used to simulate land type acquisition
3D SEG/EAGE Salt Model
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3D SEG/EAGE Salt Model, 45 shot data set, comparisons between the model, total illumination, andPrestack depth image.
Velocitymodel
Totalillumination
MigrationImage(Luo & Wu2003)
cross sections at x = 6000 m
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Velocitymodel
verticalillumination
MigrationImage(Luo & Wu2003)
3D SEG/EAGE Salt Model, 45 shot data set, comparisons between the model, vertical DI, andPrestack depth image.
cross sections at x = 8600 m
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Outline
O IntroductionO Illumination analysisO Directional illuminationO Acquisition dip-responseO 3D numerical examples using
SEG/EAGE salt modelO Summary
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A c q u i s i t i o n D i p - R e s p o n s e ( A D R ) T h e s i m u l a t i o n o f t h e d e t e c t i n g p o w e r o f a s o u r c e - r e c e i v e r p a i r
2/1),,,;(),,,;(),,,;;( RTRSTSTRS zIzIzR θxrθxrθxrr r R r e c e i v e r l o c a t i o n I ( r S ) , I ( r R ) D I s f r o m t h e s o u r c e a n d r e c e i v e r θ S , θ R i l l u m i n a t i o n a n g l e s
θ d i p p i n g a n g l e o f t h e f a v o r i t e r e f l e c t o r F o r a n a c q u i s i t i o n s y s t e m w i t h m u l t i p l e s o u r c e - r e c e i v e r p a i r s
S R
zRzR TRSTr r
θxrrθx ),,,;;(),,,( .
A c q u i s i t i o n D i p - R e s p o n s e ( A D R ) T h e s i m u l a t i o n o f t h e d e t e c t i n g p o w e r o f a s o u r c e - r e c e i v e r p a i r
2/1),,,;(),,,;(),,,;;( RTRSTSTRS zIzIzR θxrθxrθxrr r R r e c e i v e r l o c a t i o n I ( r S ) , I ( r R ) D I s f r o m t h e s o u r c e a n d r e c e i v e r θ S , θ R i l l u m i n a t i o n a n g l e s
θ d i p p i n g a n g l e o f t h e f a v o r i t e r e f l e c t o r F o r a n a c q u i s i t i o n s y s t e m w i t h m u l t i p l e s o u r c e - r e c e i v e r p a i r s
S R
zRzR TRSTr r
θxrrθx ),,,;;(),,,( .
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30 degree ADRfor a single source-cable system (one shot plus three 3.2 km long cables)
Cross section alongthe sail direction
Depth slice at1000 m
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Velocitymodel
VerticalADR
MigrationImage (Jin et al. 2002)
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Vertical ADR overlay on the prestack image
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Velocity model
Total ADR
Migration Image(Jin et al. 2002)
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Calculate the illumination on a target zone
Depth = f(x,y)
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Outline
O IntroductionO Illumination analysisO Directional illuminationO Acquisition dip-responseO 3D numerical examples using
SEG/EAGE salt modelO Summary
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SummaryO A wave equation based method is developed for the illumination analysis. The GSP propagator and local plane wave analysis are used to extrapolate the wavefield and provide the directional information.
O The method provides a practical tool to conduct the 3D full-volume illumination analysis in complex structures. Both directional illumination (DI) and acquisition dip-response (ADR) can be generated. The method can be naturally teamed with the wave equation based migration method to provide illumination analysis.
O Angle domain information is very useful. It adds a new dimension for us to look at the illumination. To demonstrate the potential applications of this method, preliminary numerical examples are calculated using the 3D SEG/EAGE salt model.
For more information, please visit the Modeling and Imaging Lab booth at #2745.
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