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Seismic Data Processing
Lecture 14
Stacking and migration
Dr Amin Khalil
School of Physics, USM
Huygen’s principle
Huygen’s principle
Wave diffraction
Wave Diffraction Example
Back to Migration
The time for a diffracting point located at (xd , Zd )
is given by:
This equation represent hyperbola like the one seen at the
following figure.
This figure shows the diffractor to the left and its
corresponding time on the zero offset seismic
section.
Diffraction stacking Cont’d
In early days, Before the computer era, people used
stacking along the hyperbola in order to obtain the
diffraction point. This require the knowledge of the
velocity to carry out stacking. In case that we have
more than one diffraction point with different
velocities we apply stacking for each hyperbola with its
proper stacking velocity.
Diffraction stacking Cont’d
In early computer age the following relation is used:
In the preceding slides we dealt with single point
diffraction. This principle can be further used to image
the whole refractor by consider all other diffractor
point. When the separation between diffraction points
become infinitesimally small, the reflector is then
determined (Huygen’s principle).
An example of this is shown in the next slide, where the
concept is applied to four diffraction points.
Four points diffractor
If the points separation is infinitely small, a reflector then can be
mapped.
Dipping reflector
In the present case the migration is applied by
multiplying by 1/cos q, where q is the dip angle. As
illustrated in the following fig.
Bow-tie phenomena
Seismic data processing 14, stacking&migration2
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Seismic data processing 14, stacking&migration2
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Seismic data processing 14, stacking&migration2