wavepath migration versus kirchhoff migration: 3-d prestack examples

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Wavepath Migration versus Wavepath Migration versus Kirchhoff Migration: 3-D Kirchhoff Migration: 3-D Prestack Examples Prestack Examples H. Sun and G. T. Schuster H. Sun and G. T. Schuster University of Utah University of Utah

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H. Sun and G. T. Schuster. University of Utah. Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples. Outline. Problems in Kirchhoff Migration Wavepath Migration Implementation of WM Numerical Results Conclusions. Specular Ray. Forward Modeling. - PowerPoint PPT Presentation

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Page 1: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Wavepath Migration versus Wavepath Migration versus Kirchhoff Migration: 3-D Kirchhoff Migration: 3-D

Prestack ExamplesPrestack Examples

H. Sun and G. T. SchusterH. Sun and G. T. SchusterUniversity of UtahUniversity of Utah

Page 2: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

OutlineOutline Problems in Kirchhoff MigrationProblems in Kirchhoff Migration• Wavepath Migration Wavepath Migration • Implementation of WMImplementation of WM• Numerical ResultsNumerical Results• ConclusionsConclusions

Page 3: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Forward ModelingForward Modeling

( Xg, 0 )( Xg, 0 ) ( Xs, 0 )( Xs, 0 )

Specular RaySpecular Ray

Page 4: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

3D Kirchhoff Migration3D Kirchhoff Migration

( Xg, 0 )( Xg, 0 ) ( Xs, 0 )( Xs, 0 )

3D Fat Ellipsoid3D Fat Ellipsoid

Page 5: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

3-D KM of a Single Trace3-D KM of a Single Trace

RR SSAA

AA

BB

BB

CC

CC

Page 6: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Problems in Kirchhoff MigrationProblems in Kirchhoff Migration

Traveltime InformationTraveltime Information

Where Was Wave Reflected ?Where Was Wave Reflected ?

The Whole Fat Ellipsoid !The Whole Fat Ellipsoid !

Problem 1Problem 1

Strong Far-FieldStrong Far-FieldMigration ArtifactMigration Artifact

Problem 2Problem 2

Slow for 3-D IterativeSlow for 3-D IterativeVelocity AnalysisVelocity Analysis

Page 7: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

OutlineOutline• Problems in Kirchhoff MigrationProblems in Kirchhoff Migration Wavepath Migration Wavepath Migration • Implementation of WMImplementation of WM• Numerical ResultsNumerical Results• ConclusionsConclusions

Page 8: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

3D Wavepath Migration3D Wavepath Migration

( Xg, 0 )( Xg, 0 )

Fat RayFat Ray

Fat Fat EllipsoidEllipsoid

KM : Fat Ellipsoid, O(N )KM : Fat Ellipsoid, O(N )WM: Hatching Area, O(N )WM: Hatching Area, O(N )

3 3

1.5 1.5

Page 9: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

3-D WM of a Single Trace3-D WM of a Single Trace

RR SSAA

BBCC

AABB

CC

Page 10: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Traveltime + Ray DirectionTraveltime + Ray Direction

TrueReflection point

SmallMigration Aperture

FewerFewerArtifactsArtifacts

LessLessExpensiveExpensive

Wavepath MigrationWavepath Migration

Page 11: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

• To Achieve Higher CPU EfficiencyTo Achieve Higher CPU Efficiency Compared to 3-D KMCompared to 3-D KM • To Generate Comparable or BetterTo Generate Comparable or Better Image Quality than 3-D KMImage Quality than 3-D KM

Key Goals of 3-D WMKey Goals of 3-D WM

Page 12: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Related ReferencesRelated References• Time-Map MigrationTime-Map Migration SherrifSherrif & & GeldhartGeldhart (1985) (1985)• Wave Equation TomographyWave Equation Tomography Woodward Woodward && Rocca Rocca (1988) (1988)• Gaussian Beam MigrationGaussian Beam Migration Ross HillRoss Hill (1990) (1990)• Kirchhoff Beam MigrationKirchhoff Beam Migration Yonghe SunYonghe Sun et al., (1999) et al., (1999)

Page 13: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

OutlineOutline• Problems in Kirchhoff MigrationProblems in Kirchhoff Migration• Wavepath Migration Wavepath Migration Implementation of WMImplementation of WM• Numerical ResultsNumerical Results• ConclusionsConclusions

Page 14: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Key Steps in WMKey Steps in WM

RaypathRaypath

RR SS

RaypathRaypath Fresnel Zone MigrationFresnel Zone MigrationQuasi-ellipsoidQuasi-ellipsoid

Quasi-ellipsoidQuasi-ellipsoid

Page 15: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

OutlineOutline• Problems in Kirchhoff MigrationProblems in Kirchhoff Migration• Wavepath Migration Wavepath Migration • Implementation of WMImplementation of WM Numerical ResultsNumerical Results 3-D Prestack Point Scatterer Data3-D Prestack Point Scatterer Data 3-D Prestack SEG/EAGE Salt Data3-D Prestack SEG/EAGE Salt Data 3-D Prestack West Texas Field Data3-D Prestack West Texas Field Data• ConclusionsConclusions

Page 16: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

3-D Prestack KM Point Scatterer Response3-D Prestack KM Point Scatterer Response R

efle

ctiv

ity

Ref

lect

ivit

y

Y Offset (km)Y Offset (km) X Offset (km)X Offset (km)

11

-0.5-0.5

00

11

Ref

lect

ivit

yR

efle

ctiv

ity

Y Offset (km)Y Offset (km) X Offset (km)X Offset (km)

11

-0.01-0.01

00

0.020.02

Ref

lect

ivit

yR

efle

ctiv

ity

Y Offset (km)Y Offset (km) X Offset (km)X Offset (km)

11

-0.05-0.05

00

0.10.1

Ref

lect

ivit

yR

efle

ctiv

ity

Y Offset (km)Y Offset (km) X Offset (km)X Offset (km)

11

-0.2-0.2

00

0.40.4

11

1111

11

Z0Z0

Z0-1Z0-1Z0-9Z0-9

Z0+8Z0+8

Page 17: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Ref

lect

ivit

yR

efle

ctiv

ity

Y Offset (km)Y Offset (km) X Offset (km)X Offset (km)

11

-0.5-0.5

00

11

Ref

lect

ivit

yR

efle

ctiv

ity

Y Offset (km)Y Offset (km) X Offset (km)X Offset (km)

11

-0.01-0.01

00

0.020.02

Ref

lect

ivit

yR

efle

ctiv

ity

Y Offset (km)Y Offset (km) X Offset (km)X Offset (km)

11

-0.05-0.05

00

0.10.1

Ref

lect

ivit

yR

efle

ctiv

ity

Y Offset (km)Y Offset (km) X Offset (km)X Offset (km)

11

-0.2-0.2

00

0.40.4

11

1111

11

3-D Prestack WM Point Scatterer Response3-D Prestack WM Point Scatterer Response

Z0Z0

Z0-1Z0-1Z0-9Z0-9

Z0+8Z0+8

Page 18: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

OutlineOutline• Problems in Kirchhoff MigrationProblems in Kirchhoff Migration• Wavepath Migration Wavepath Migration • Implementation of WMImplementation of WM Numerical ResultsNumerical Results 3-D Prestack Point Scatterer Data3-D Prestack Point Scatterer Data 3-D Prestack SEG/EAGE Salt Data3-D Prestack SEG/EAGE Salt Data 3-D Prestack West Texas Field Data3-D Prestack West Texas Field Data• ConclusionsConclusions

Page 19: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

A Common Shot GatherA Common Shot GatherTrace NumberTrace Number11 390390

Tim

e (s

ec)

Tim

e (s

ec)

00

5.05.0

Page 20: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Inline Velocity ModelInline Velocity Model

Offset (km)Offset (km)00 9.29.2

Dep

th (

km)

Dep

th (

km)

00

3.83.8

SALTSALT

Page 21: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Inline KMInline KM ((CPU=1CPU=1)) Inline WMInline WM ((CPU=1/33CPU=1/33))

Offset (km)Offset (km)00 9.29.2

00

3.83.8

De

pth

(k

m)

De

pth

(k

m)

Offset (km)Offset (km)00 9.29.2

Page 22: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Inline KMInline KM ((CPU=1CPU=1)) Inline WMInline WM ((CPU=1/170CPU=1/170))

Offset (km)Offset (km)00 9.29.2

00

3.83.8

De

pth

(k

m)

De

pth

(k

m)

Offset (km)Offset (km)00 9.29.2

(subsample)(subsample)

Page 23: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Zoom Views of Inline Sections Zoom Views of Inline Sections

Offset: 3~6.5 km, Depth: 0.3~1.8 kmOffset: 3~6.5 km, Depth: 0.3~1.8 km

WMWM

ModelModel

KM KM

SubSubWMWM

Page 24: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Offset: 1.8~4 km, Depth: 0.6~2.1 kmOffset: 1.8~4 km, Depth: 0.6~2.1 km

WMWM

ModelModel

KM KM

SubSubWMWM

Zoom Views of Crossline Sections Zoom Views of Crossline Sections

Page 25: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Inline: 1.8~7.2 km, Crossline: 0~4 kmInline: 1.8~7.2 km, Crossline: 0~4 km

WMWM

ModelModel

KM KM

SubSubWMWM

Horizontal Slices (Depth=1.4 km) Horizontal Slices (Depth=1.4 km)

Page 26: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

OutlineOutline• Problems in Kirchhoff MigrationProblems in Kirchhoff Migration• Wavepath Migration Wavepath Migration • Implementation of WMImplementation of WM Numerical ResultsNumerical Results 3-D Prestack Point Scatterer Data3-D Prestack Point Scatterer Data 3-D Prestack SEG/EAGE Salt Data3-D Prestack SEG/EAGE Salt Data 3-D Prestack West Texas Field Data3-D Prestack West Texas Field Data• ConclusionsConclusions

Page 27: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

A Common Shot GatherA Common Shot GatherTrace NumberTrace Number5454 193193

Tim

e (s

ec)

Tim

e (s

ec)

00

3.43.4

Page 28: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Inline KM Inline KM ((CPU=1CPU=1)) Inline WMInline WM ((CPU=1/14CPU=1/14))

Offset (km)Offset (km)0.40.4 4.54.5

0.80.8

3.83.8

De

pth

(k

m)

De

pth

(k

m)

Offset (km)Offset (km)0.40.4 4.54.5

Page 29: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Inline KMInline KM ((CPU=1CPU=1)) Inline WMInline WM ((CPU=1/50CPU=1/50))

Offset (km)Offset (km)0.40.4 4.54.5

0.80.8

3.83.8

De

pth

(k

m)

De

pth

(k

m)

Offset (km)Offset (km)0.40.4 4.54.5

(subsample)(subsample)

Page 30: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Crossline KM Crossline KM ((CPU=1CPU=1)) Crossline WMCrossline WM ((CPU=1/14CPU=1/14))

Offset (km)Offset (km)0.30.3 3.53.5

0.80.8

3.33.3

De

pth

(k

m)

De

pth

(k

m)

Offset (km)Offset (km)0.30.3 3.53.5

Page 31: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Crossline KMCrossline KM ((CPU=1CPU=1)) Crossline WMCrossline WM ((CPU=1/50CPU=1/50))(subsample)(subsample)

Offset (km)Offset (km)0.30.3 3.53.5

0.80.8

3.33.3

De

pth

(k

m)

De

pth

(k

m)

Offset (km)Offset (km)0.30.3 3.53.5

Page 32: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

Inline: 0~4.6 km, Crossline: 0~3.8Inline: 0~4.6 km, Crossline: 0~3.8

KM (KM (CPU=1CPU=1))

Horizontal Slices (Depth=2.5 km) Horizontal Slices (Depth=2.5 km)

WM (WM (CPU=1/14CPU=1/14)) WM (Sub, WM (Sub, CPU=1/50CPU=1/50))

Page 33: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

OutlineOutline• Problems in Kirchhoff MigrationProblems in Kirchhoff Migration• Wavepath Migration Wavepath Migration • Implementation of WMImplementation of WM• Numerical ResultsNumerical Results ConclusionsConclusions

Page 34: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

ConclusionsConclusions

SEG/EAGE Salt DataSEG/EAGE Salt Data• Fewer Migration ArtifactsFewer Migration Artifacts• Better for Complex Salt BoundaryBetter for Complex Salt Boundary• Higher Computational EfficiencyHigher Computational Efficiency

CPUCPU KM: KM: 11 WM: WM: 1/331/33 Subsampled WM: Subsampled WM: 1/1701/170

Page 35: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

ConclusionsConclusions

West Texas Field DataWest Texas Field Data• Fewer Migration ArtifactsFewer Migration Artifacts• Similar Image QualitySimilar Image Quality• Higher Computational EfficiencyHigher Computational Efficiency

CPUCPU KM: KM: 11 WM: WM: 1/141/14 Subsampled WM: Subsampled WM: 1/501/50

Page 36: Wavepath Migration versus Kirchhoff Migration: 3-D Prestack Examples

AcknowledgementsAcknowledgements

We thank UTAM sponsorsWe thank UTAM sponsorsfor their financial supportfor their financial support