Migrating elastic data

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Presentation transcript:

Migrating elastic data Aaron Stanton

Outline The seismic imaging problem Why not direct inversion? Migrating scalar wavefields Downward continuation Imaging condition Migrating vector wavefields Wavefield decomposition Wavefield recomposition

The forward problem

The forward problem

The forward problem

The forward problem

The forward problem

The forward problem model data

model data ? The inverse problem Non-linear, underdetermined (grid sizes are very tiny), and data sets are massive (tera bytes and even peta-bytes).

Linearize!

Model

Model perturbation

Born Scattering

Born Scattering

Born Scattering

Migration

Migration image = up/down

Downward continuation

Now for vector wavefields!

Vector data

Vector data

Vector data If we assume isotropy we can use Helmholtz decomposition

Helmholtz decomposition

Helmholtz decomposition Etgen, 1988

Helmholtz recomposition Etgen, 1988

Synthetic data example Marmousi 2

vp

vs

Shot gathers

LS Migration: mpp 25˚ incidence angle

Migration: mps 25˚ incidence angle

Synthetic data example Anticline model

Simulated OBC Acquisition ★ osx = 100m ; dsx = 100m ; nsx = 69 ; sz = 10m ; dgx = 8m ; gz = 550m ; recording aperture = 6608m

X-Component

Z-Component

Mpp Constant Incidence angle of 10˚

Mpp CIG @ x = 1600m

Mps Constant Incidence angle of 10˚

Mps CIG @ x = 1600m

Conclusions Migration of scalar wavefields consists of downward continuation imaging condition Migration of vector wavefields consists of wavefield separation wavefield recombination