new migration deconvolution filters jianhua yu university of utah
TRANSCRIPT
New Migration New Migration Deconvolution FiltersDeconvolution Filters
Jianhua YuJianhua Yu
University of UtahUniversity of Utah
ContentsContentsMotivation: MD Prob. & Soln.
New MD Filters
Numerical Examples
Summary
ContentsContentsMotivationNew MD Filters
Numerical Examples
Summary
Motivation New MD Filters Examples Summary
Migration Deconvolution
mrG GT
Migration imageReflectivity
Migration Modeling
Motivation New MD Filters Examples Summary
Migration Green’s function
Migration Deconvolution
mrG GT
G GT -1
][ G GT -1
][
11
Motivation New MD Filters Examples Summary
Migration Deconvolution
mr
G GT -1
][
1
Motivation New MD Filters Examples Summary
Migration Deconvolution Problems
mr G GT -1
][
For moderately complex models
V(z) assumption
Migration Green’s function based on ray theory
Motivation New MD Filters Examples Summary
Migration Deconvolution Solution
mr G GT -1
][
Motivation New MD Filters Examples Summary
Replace G by a 1. WE Propagator2. Gaussian Beam Propagator3. Beylkin Inverse Determinant
ContentsContentsMotivationNew MD Filters
Numerical Examples
Summary
Motivation New MD Filters Examples Summary
Fourier Finite Difference MD
mr G GT -1
][
Motivation New MD Filters Examples Summary
sgsoogsg rdrdrrGrrGrrGrrG )()()()( ** ][
22
2
2
)1( yxz KKai
vK
Gaussian Beam MD
mr G GT -1
][
Motivation New MD Filters Examples Summary
sgsoogsg rdrdrrGrrGrrGrrG )()()()( ** ][
] de ti
),,(~
)(Re[1
),|(
rrUFtrG rg s g s
Beylkin Deblurring
mr G GT -1
][
Motivation New MD Filters Examples Summary
)(v x
),()( rs,rs, De i
|),(| h x )(),(8
)( 23
0
FdA
drs
xr
ContentsContentsMotivationNew MD Filters
Numerical Examples
Discussion & Conclusions
Motivation New MD Filters Examples Summary
Beylkin
FFD MD
Gaussian Beam MD Kirchhoff MD
Kirchhoff Mig
Motivation New MD Filters Examples Summary
WE MD
Motivation New MD Filters Examples Summary
X (km)0
3
Y (km)
03
3
Y (km)
0
3
Y (km)
0
Kirchhoff MD
Motivation New MD Filters Examples Summary
X (km)0
3
Y (km)
03
3
Y (km)
0
3
Y (km)
0
X (km)0 203
10
Dep
th (
km
)
Motivation New MD Filters Examples Summary
Migration Image by FFD
X (km)0 203
10
Dep
th (
km
)Wave Equation Migration
Motivation New MD Filters Examples Summary
X (km)0 203
10
Dep
th (
km
)Wave Equation Migration after Kirch. MD
Motivation New MD Filters Examples Summary
X (km)0 203
10
Dep
th (
km
)
Motivation New MD Filters Examples Summary
Wave Equation Migration after Beam MD
X (km)0 202.5
10
Dep
th (
km
)
Motivation New MD Filters Examples Summary
Wave Equation Migration (AGC)
X (km)0 202.5
10
Dep
th (
km
)Wave Equation migration after Kirch MD (AGC)
Motivation New MD Filters Examples Summary
X (km)0 202.5
10
Dep
th (
km
)
Motivation New MD Filters Examples Summary
Wave Equation migration after Kirch MD (AGC)
10
Dep
th (
km
)
Beam MD
No AGC
No AGC
Motivation New MD Filters Examples Summary
WE Mig
5
10
Dep
th (
km
)WE Mig.
Beam MD
AGC
AGC
Motivation New MD Filters Examples Summary
ContentsContentsMotivationNew MD Filters
Numerical Examples
Summary
Motivation New MD Filters Examples Summary
SummarySummary
Beylkin inverse determinant for moderate complex structure
Cost: WEMD >> Beam MD
WEM+BMD for subsalt imaging
Quality: Beam MD = WE MD
Quality: Beam MD >> Kirch. MD
Thanks toThanks to2003 UTAM Sponsors
SMAART Joint Venture
Alan Leeds (ChevronTexaco)
CHPC