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THE SIGNIFICANCE OF INCORPORATING A 3D POINT SOURCE IN THE INVERSE SCATTERING SERIES
(ISS) INTERNAL MULTIPLE ATTENUATOR FOR A 1D SUBSURFACE
Xinglu Lin* and Arthur B. WegleinM-OSRP, University of Houston
Oct. 19th, 2015
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BACKGROUND
The ISS internal-multiple attenuation algorithm:
Is the only method that does not need any subsurface information and is earth model-type independent.
Can predict all internal multiples at once.
Is widely used by major service and oil companies. (e.g. CGG, PGS, Schlumberger, Petrobras, Aramco, KOC, BP…)
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BACKGROUND
Onshore effectiveness:
“Their performance was demonstrated with complex synthetic and challenging land field data sets with encouraging results; other internal multiple-suppression methods were unable to demonstrate similar effectiveness.”
—Yi Luo et al., 2011, TLE, 884-889
“Elimination of land internal multiples based on the inverse scattering series”
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Offshore effectiveness: offshore Brazil data example (A. Ferreira and A. Weglein, 2011; A. Ferreira et al., 2013, Petrobras)
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Offshore effectiveness: offshore Brazil data example (A. Ferreira and A. Weglein, 2011; A. Ferreira et al., 2013, Petrobras)
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MOTIVATION AND HIGHLIGHT IN THIS TALK
There are on-shore and off-shore regions, which are close to 1D earth and have serious internal multiple problems. (e.g., Central North sea, Canada)
The frequently used ISS internal multiple attenuator for a 1D subsurface is reduced from a full 2D theory.
However, the source is better to be assumed as a 3D point source (e.g. dynamite, airgun).
The objective of this paper is to improve the internal-multiple prediction with incorporating a 3D point source in the ISS internal multiple attenuation algorithm for a 1D subsurface.
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THEORY
The ISS internal multiple attenuation algorithm is a multi-dimensional method (Araujo et al., 1994; Weglein et al., 1997).
Start with a complete 3D ISS internal multiple attenuator
Reduced it for a 1D subsurface
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ISS INTERNAL MULTIPLE ATTENUATOR ASSUMING A 3D POINT SOURCE AND A 3D SUBSURFACE
3D theory requires:
Z
Y
XSourceReceiver
3D earth-Properties vary in (x,y,z)direction.
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3D theory requires:
Z
Y
XSourceReceiver
ISS INTERNAL MULTIPLE ATTENUATORASSUMING A 3D POINT SOURCE AND A 3D SUBSURFACE
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SourceReceiver
3D source-1D earth algorithm requires:
Z
Y
X
1D earth -Properties vary in z-direction.
Independent of azimuth angle
ISS INTERNAL MULTIPLE ATTENUATORASSUMING A 3D POINT SOURCE AND A 1D SUBSURFACE
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SourceReceiver
3D source-1D earth algorithm requires:
Z
Y
X
Recorded Seismic data:D(rh,t)
rh
ISS INTERNAL MULTIPLE ATTENUATORASSUMING A 3D POINT SOURCE AND A 1D SUBSURFACE
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ISS internal multiple attenuator for 1D subsurface (Araujo et al., 1994; Weglein et al., 1997) :
ISS INTERNAL MULTIPLE ATTENUATOR FOR A 1D SUBSURFACE
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ISS internal multiple attenuator for 1D subsurface (Araujo et al., 1994; Weglein et al., 1997) :
ISS INTERNAL MULTIPLE ATTENUATOR FOR A 1D SUBSURFACE
z1
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ISS internal multiple attenuator for 1D subsurface (Araujo et al., 1994; Weglein et al., 1997) :
ISS INTERNAL MULTIPLE ATTENUATOR FOR A 1D SUBSURFACE
z1
z2
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ISS internal multiple attenuator for 1D subsurface (Araujo et al., 1994; Weglein et al., 1997) :
z1
z2z3
ISS INTERNAL MULTIPLE ATTENUATOR FOR A 1D SUBSURFACE
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ISS internal multiple attenuator for 1D subsurface (Araujo et al., 1994; Weglein et al., 1997) :
z1
z2z3
ISS INTERNAL MULTIPLE ATTENUATOR FOR A 1D SUBSURFACE
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ISS internal multiple attenuator for 1D subsurface (Araujo et al., 1994; Weglein et al., 1997) :
D(rh,t) b1(kh,z) D3(rh, t) b3(kh, ω)
Attenuate the internal multiples: D(rh,t)+D3(rh, t)
ISS INTERNAL MULTIPLE ATTENUATOR FOR A 1D SUBSURFACE
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ISS internal multiple attenuator for 1D subsurface (Araujo et al., 1994; Weglein et al., 1997) :
D(rh,t) b1(kh,z) D3(rh, t) b3(kh, ω) Input preparation Output transform
ISS INTERNAL MULTIPLE ATTENUATOR FOR A 1D SUBSURFACE
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ISS INTERNAL MULTIPLE ATTENUATOR ASSUMING A 2D LINE SOURCE
D(rh,t) b1(kh,z) ISS prediction
D3(rh, t) Fourier transform Inverse Fourier transform
b3(kh, ω)
Attenuate the internal multiples: D(rh,t)+D3(rh, t)
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ISS INTERNAL MULTIPLE ATTENUATOR ASSUMING A 3D POINT SOURCE
D(rh,t) b1(kh,z) ISS prediction
D3(rh, t) Hankel transform Inverse Hankel transform
b3(kh, ω)
Attenuate the internal multiples: D(rh,t)+D3(rh, t)
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ISS INTERNAL MULTIPLE ATTENUATOR ASSUMING A 3D POINT SOURCE
D(rh,t) b1(kh,z) ISS prediction
D3(rh, t) Asymptotic transform Inverse asymptotic transform
b3(kh, ω)
Attenuate the internal multiples: D(rh,t)+D3(rh, t)
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DIFFERENCE BETWEEN ISS INTERNAL MULTIPLE ATTENUATOR ASSUMING
A 3D POINT SOURCE V.S. A 2D LINE SOURCE
Asymptotic transform Inverse asymptotic transform
D(rh,t) b1(kh,z) D3(rh, t) b3(kh, ω)
Hankel transform Inverse Hankel transform
Assuming a 2D line source
Assuming a 3D point source
Fourier transform Inverse Fourier transform
ISS prediction
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NUMERICAL TESTS
Numerical tests on a 3D source – 1D earth dataset:
Internal multiple prediction assuming a 2D line source Fourier transform
Internal multiple prediction assuming a 3D point sourceHankel transformAsymptotic transform
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NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATAACOUSTIC MODEL
3D point source broad-band data using reflectivity method
V=1500m/s
V=2200m/s
V=8000m/s
No ghosts; No free-surface multiples
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3D point source data
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATASYNTHETIC DATA
Primaries
First-order internal multiple
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NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATAISS INTERNAL MULTIPLE ATTENUATOR
ASSUMING A 2D LINE SOURCE
3D point source data
×10-7
2D line source IM prediction
(Fourier transform)
Very small scale
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3D point source data
3D point source IM prediction
(Hankel transform)
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATAISS INTERNAL MULTIPLE ATTENUATOR
ASSUMING A 3D POINT SOURCE
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3D point source data
3D point source IM prediction
(Asymptotic transform)
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATAISS INTERNAL MULTIPLE ATTENUATOR
ASSUMING A 3D POINT SOURCE
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NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATA3D SOURCE VS. 2D SOURCE ISS INTERNAL MULTIPLE ATTENUATOR
(NEAR OFFSET TRACE COMPARISON, 100M)
3D point source internal-multiple
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2D line source ISS internal-multiple prediction(Fourier transform)
3D point source internal-multiple
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATA3D SOURCE VS. 2D SOURCE ISS INTERNAL MULTIPLE ATTENUATOR
(NEAR OFFSET TRACE COMPARISON, 100M)
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2D line source ISS internal-multiple prediction(Fourier transform)
3D point source internal-multiple
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATA3D SOURCE VS. 2D SOURCE ISS INTERNAL MULTIPLE ATTENUATOR
(NEAR OFFSET TRACE COMPARISON, 100M)
×10-7
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2D line source ISS internal-multiple prediction(Fourier transform)
3D source ISSinternal-multiple prediction(Hankel transform)
3D point source internal-multiple
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATA3D SOURCE VS. 2D SOURCE ISS INTERNAL MULTIPLE ATTENUATOR
(NEAR OFFSET TRACE COMPARISON, 100M)
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2D line source ISS internal-multiple prediction(Fourier transform)
3D source ISSinternal-multiple prediction(Hankel transform)
3D source ISS internal-multiple prediction(Asymptotic Bessel)
3D point source internal-multiple
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATA3D SOURCE VS. 2D SOURCE ISS INTERNAL MULTIPLE ATTENUATOR
(NEAR OFFSET TRACE COMPARISON, 100M)
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3D point source internal-multiple
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATA3D SOURCE VS. 2D SOURCE ISS INTERNAL MULTIPLE ATTENUATOR
(FAR OFFSET TRACE COMPARISON, 500M)
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2D line source ISS internal-multiple prediction(Fourier transform)
3D point source internal-multiple
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATA3D SOURCE VS. 2D SOURCE ISS INTERNAL MULTIPLE ATTENUATOR
(FAR OFFSET TRACE COMPARISON, 500M)
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2D line source ISS internal-multiple prediction(Fourier transform)
3D point source internal-multiple
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATA3D SOURCE VS. 2D SOURCE ISS INTERNAL MULTIPLE ATTENUATOR
(FAR OFFSET TRACE COMPARISON, 500M)
×10-7
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2D line source ISS internal-multiple prediction(Fourier transform)
3D source ISSinternal-multiple prediction(Hankel transform)
3D point source internal-multiple
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATA3D SOURCE VS. 2D SOURCE ISS INTERNAL MULTIPLE ATTENUATOR
(FAR OFFSET TRACE COMPARISON, 500M)
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2D line source ISS internal-multiple prediction(Fourier transform)
3D source ISSinternal-multiple prediction(Hankel transform)
3D source ISS internal-multiple prediction(Asymptotic Bessel)
3D point source internal-multiple
NUMERICAL TESTS ON A 3D SOURCE-1D EARTH DATA3D SOURCE VS. 2D SOURCE ISS INTERNAL MULTIPLE ATTENUATOR
(FAR OFFSET TRACE COMPARISON, 500M)
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ANALYSIS
When the data comes from a 3D point source, the ISS internal multiple attenuation algorithm with a 2D line source assumption can make the prediction result significantly less effective.
Incorporating a 3D source in the algorithm can improve its effectiveness within the current ISS internal-multiple attenuation algorithm.
3D source data
2D source prediction
3D source prediction
3D source prediction(Asymptotic)
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MULTIPLE REMOVAL STRATEGY
Internal-multiple-removal
New adaptive criterion
Pre-requisites: Onshore(JingWu, 4:00pm, RM222)
Three-pronged strategy
Within the algorithm
Beyond the algorithm
Incorporate the source dimension(This presentation)
Incorporate the radiation pattern
(Jinlong Yang, 1:55pm)
Spurious event removal
(Chao Ma, 2:20pm)
Elimination algorithm
(Yanglei Zou, 2:45pm)
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KEY POINTS
The ISS internal-multiple prediction algorithm is the most capable method because it does not require subsurface information.
This paper shows its value of improving the effectiveness of internal-multiple attenuator;it matters for the methods beyond the current ISS internal multiple attenuator.
It is always important to incorporate the 3D source in the ISS internal multiple prediction.
Incorporate the right source dimension
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