Aerial View Eucalyi River, Peru Seismic View: 2 km Deep Meandering River.

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Presentation transcript:

Aerial View Eucalyi River, Peru Seismic View: 2 km Deep Meandering River

Overview of Seismic Imaging Jerry Schuster KAUST

Outline Forward Acoustic ProblemForward Acoustic Problem Inverse Acoustic ProblemInverse Acoustic Problem Seismic ExperimentSeismic Experiment Seismic MigrationSeismic Migration

ZO Seismic Section Depth Time c  22 11

Monterey Optical Image Monterey Seismic Image 0 km 2 km 0 km 0.1 km

Acoustic Forward Problem Depth c 2c1 Given: d + k d = o 22 k =  c Find: d(r) Soln:  rorr)()(  g  rd  )(  drdr Pressure Source

Goal: Compute ZO Seismic Section Depth Time c   rorr)()(  g  rd  )(  dr  rorr)()( g  rd  )( 

Common Shot Gather Depth Time

Common Midpoint Gather DepthMidpoint Time

Normal Moveout Correction Midpoint Depth Time

Stacked Trace Midpoint Depth Time

Stacked Seismic Section Depth Time

Outline Forward Acoustic ProblemForward Acoustic Problem Inverse Acoustic ProblemInverse Acoustic Problem Seismic ExperimentSeismic Experiment Seismic MigrationSeismic Migration

What is the Problem? V/2 Depth Time Events Can Originate Updip Incorrect location. You think events originated directlybelow geophones. D=VT/2

What is another Problem? Depth Time Events Originate Pt. Diffractors

0 m 30 m 0 km 30 m corner

ZO Data Migration (Relocates Reflections back to Place of Origin) 0 km 7 km 0 km 3 km

Given: d = Lo Seismic Inverse Problem Find: o(x,y,z) Find: o(x,y,z) Soln: min || Lo-d || Soln: min || Lo-d ||2 o = [L L] L d T T‘ L d L dT migration waveforminversion

Outline Forward Acoustic ProblemForward Acoustic Problem Inverse Acoustic ProblemInverse Acoustic Problem Seismic ExperimentSeismic Experiment Seismic MigrationSeismic Migration

2-way time (x-x ) + y 22.5 c s rsrsrsrs =  rsrsrsrs + T o ZO Migration ZO Migration Smear Reflections along Fat Circles Smear Reflections along Fat Circlesxs r d(x, )  rsrsrsrs s

2-way time ZO Migration ZO Migration Smear Reflections along Fat Circles  rsrsrsrs d(x, ) s  x & Sum

2-way time ZO Migration ZO Migration Smear Reflections along Circles  rsrsrsrs d(x, ) s  r & Sum

ZO Migration Resolution ZO Migration Resolution Intersection of Fresnel Zones Vertical Res. = Near-Offset Traces

ZO Migration Resolution ZO Migration Resolution Intersection of Fresnel Zones Horiz. Res. = Far-Offset Traces

Why is Pt. Scatterer Response of Migration Why is Pt. Scatterer Response of Migration a Blurred Version of Point? Migration: m = L d TMigratedSectionData but d = L r L rL rL rL r Migration Section = Blured Image of r

Seismic Section Time 12 km

0 km 7 km 0 km 3 km

0 km 7 km 0 km 3 km Migration Least Squares Migration

Seismic Imaging Course Kirchhoff & Beam MigrationKirchhoff & Beam Migration Phase Shift-Like MethodsPhase Shift-Like Methods Reverse-Time MigrationReverse-Time Migration Full Waveform InversionFull Waveform Inversion