Imaging Multiple Imaging Multiple Reflections with Reflections with Reverse-Time Reverse-Time Migration Migration Yue Wang Yue Wang University of University of Utah Utah
Dec 19, 2015
Imaging Multiple Imaging Multiple Reflections with Reverse-Reflections with Reverse-
Time MigrationTime Migration
Yue WangYue Wang
University of UtahUniversity of Utah
OutlineOutline
• BackgroundBackground
• Motivation & ObjectiveMotivation & Objective
• MethodologyMethodology
• Numerical ExamplesNumerical Examples
• ConclusionsConclusions
Forward ProcessForward Process
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00 4.54.5
*SourceSource Geophone LineGeophone Line
Forward ProcessForward Process
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00 4.54.5
*
obsobs
Reverse Time MigrationReverse Time Migration
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00 4.54.5
obsobs
Extrapolated WavefieldExtrapolated Wavefieldobsobs
Reversed tracesReversed traces
Reverse-Time MigrationReverse-Time Migration
Extrapolated WavefieldExtrapolated Wavefield
Imaging ConditionImaging Condition
Migration SectionMigration Section
OutlineOutline
• BackgroundBackground
• Motivation & ObjectiveMotivation & Objective
• MethodologyMethodology
• Numerical ExamplesNumerical Examples
• ConclusionsConclusions
Ocean-Bottom SurveyOcean-Bottom Survey
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00 4.54.5
*SourceSource Geophone LineGeophone Line
ProblemProblem
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00 4.54.5
*Receiver-side MultiplesReceiver-side Multiples
Synthetic Shot GatherSynthetic Shot GatherT
ime
(s)
Tim
e (s
)
Distance (km)Distance (km)
Receiver side multiplesReceiver side multiples
22
00
0.90.9 3.63.6
Field DataField DataT
ime
(s)
Tim
e (s
)
Distance (m)Distance (m)44
00
-80-80 19001900
Receiver side multiplesReceiver side multiples
Time MigrationTime MigrationT
ime
(s)
Tim
e (s
)
Distance (m)Distance (m)44
00
-80-80 19001900
Receiver side multiplesReceiver side multiples
ObjectiveObjective
• Using both primary and multiple Using both primary and multiple reflections for imaging by reverse-reflections for imaging by reverse-time migration.time migration.
OutlineOutline
• BackgroundBackground
• Motivation & ObjectiveMotivation & Objective
• MethodologyMethodology
• Numerical ExamplesNumerical Examples
• ConclusionsConclusions
Ocean-Bottom SurveyOcean-Bottom Survey
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00 4.54.5
*SourceSource Geophone LineGeophone Line
Ocean-Bottom SurveyOcean-Bottom Survey
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00
*PP
VV
Up-goingUp-going
Multi-Component DataMulti-Component Data
pressure + particle velocitypressure + particle velocity( P & V )( P & V )
ocean-bottom surveyocean-bottom survey
Reverse Time MigrationReverse Time Migration
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00
PPVV
Down-goingDown-going
PPVV
( P & V Scheme )( P & V Scheme )
Reverse Time MigrationReverse Time Migration
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00
VVVV
( Particle Velocity Only )( Particle Velocity Only )
Key IdeaKey IdeaPrimary + Multiple Primary + Multiple
Correct Positions Correct Positions
P & V Scheme P & V Scheme
Key IdeaKey IdeaPrimary + Multiple Primary + Multiple
Incorrect Positions Incorrect Positions
V-Only Scheme V-Only Scheme
Ocean-Bottom SurveyOcean-Bottom Survey
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00
*PP
VV
Up-going WavesUp-going Waves
P & V SchemeP & V Scheme
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00
PPVV
PPVV
Correct PositionCorrect Position
Down-going wavesDown-going waves
Particle Velocity Only SchemeParticle Velocity Only Scheme
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00
VVVV
IncorrectIncorrect
Ocean-Bottom SurveyOcean-Bottom Survey
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00
*PP
VV
Down-going wavesDown-going waves( Multiples )( Multiples )
P & V SchemeP & V Scheme
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00
PPVV
PPVV
Correct PositionCorrect Position Up-going wavesUp-going waves
Particle Velocity Only SchemeParticle Velocity Only Scheme
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00
VVVV
IncorrectIncorrect
OutlineOutline
• BackgroundBackground
• Motivation & ObjectiveMotivation & Objective
• MethodologyMethodology
• Numerical ExamplesNumerical Examples
Salt Dome ModelSalt Dome Model
• ConclusionsConclusions
Salt ModelSalt Model
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
2.72.7
00
00 4.54.5
Shot GatherShot GatherNormal StressNormal StressVerticalVerticalHorizontalHorizontal
Tim
e (s
) T
ime
(s)
Distance (km)Distance (km)22
00
0.90.9 3.63.6 Distance (km)Distance (km)0.90.9 3.63.6 Distance (km)Distance (km)0.90.9 3.63.6
MultiplesMultiples
Kirchhoff MigrationKirchhoff Migration
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
2.52.5
00
0.450.45 4.054.05
Kirchhoff MigrationKirchhoff Migration
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
2.52.5
00
0.450.45 4.054.05
Particle Velocity Only SchemeParticle Velocity Only Scheme
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
2.72.7
00
0.450.45 4.054.05
Particle Velocity Only SchemeParticle Velocity Only Scheme
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
2.72.7
00
0.450.45 4.054.05
P & V SchemeP & V Scheme
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
2.52.5
00
0.450.45 4.054.05
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
2.52.5
00
0.450.45 4.054.05
P & V SchemeP & V Scheme
Primary + Multiple Primary + Multiple
Correct Positions Correct Positions
ConclusionConclusion
P + V RTM P + V RTM
Future Work: Field Data TestFuture Work: Field Data TestT
ime
(s)
Tim
e (s
)
Distance (m)Distance (m)44
00
-80-80 19001900
Receiver side multiplesReceiver side multiples
AcknowledgementAcknowledgement
We are grateful to the 1999 sponsors We are grateful to the 1999 sponsors of the UTAM consortium for the of the UTAM consortium for the financial supportfinancial support
OutlineOutline
• BackgroundBackground
• Motivation & ObjectiveMotivation & Objective
• MethodologyMethodology
• Numerical ExamplesNumerical Examples
Plane-wave examplePlane-wave example
• ConclusionsConclusions
Forward ProcessForward Process
DistanceDistance
Dep
thD
epth
Up-going wavesUp-going waves
P & V SchemeP & V Scheme
DistanceDistance
Dep
thD
epth
Down-going wavesDown-going waves
P & V SchemeP & V Scheme
Time (s)Time (s)
Dep
th (
km
)D
epth
(k
m)
00 0.80.8
00
1.21.2
Down-going wavesDown-going waves
Particle Velocity Only SchemeParticle Velocity Only Scheme
DistanceDistance
Dep
thD
epth
Down-going wavesDown-going waves
Up-going wavesUp-going waves
Particle Velocity Only SchemeParticle Velocity Only Scheme
Time (s)Time (s)
Dep
th (
km
)D
epth
(k
m)
00 0.80.8
00
1.21.2
Down-going wavesDown-going waves
Up-going wavesUp-going waves
P + V RTMP + V RTM
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00
PP++VV
Up-going wavesUp-going waves
Correct PositionCorrect Position
Distance (km)Distance (km)
Dep
th (
km
)D
epth
(k
m)
11
00
00
PP
Down-going wavesDown-going waves
Up-going wavesUp-going waves