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The seismic reflection method of subsurface imaging is
made up of three phases: acquisition, processing and interpretation.
Acquisition maps the subsurface geology into the common-shot-gather
data space. This space bears little visual relationship to the
image space, and its S/N is often poor. Routine processing is
therefore applied to enhance the data quality and to convert it to
a zero-offset data space. Where geological structuring is gentle,
this new space shows a close geometrical relationship to the image space
and is often the end product of processing. For more complex
geology this space represents a geometrically ``distorted'' image, and
further processing is usually needed before a reliable interpretation
is attempted. As the relationship between this data space and the
image space is defined exactly by the wave-equation, the inverse
process becomes possible.
In this report I give a brief mathematical treatment of the Kirchhoff
migration algorithm for 2-D seismic data. I illustrate the
practical implementation
of the process by means of an algorithm that I
developed and applied to synthetic seismic data. Furthermore,
I show results that I obtained in testing different migration
parameters to show the extent of ``distortion'' and
the effect of the modeling-imaging procedure.

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Stanford Exploration Project

11/11/1997