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A modeling technique was developed to generate the seismic
response of some simple geological structures.
Each model reflector was considered as being made up of a continuum
of Huygens' secondary sources. At each point on the reflector
a diffraction hyperbola was generated with a moveout determined
by the velocity function defined at that point. The aperture was
taken as the whole section. Each point on the hyperbola was weighted
by the factors described in the Kirchhoff Integral formula, namely the
obliquity factor and the directivity factor. The superposition of the
generated hyperbolas produced the seismic response of the specified
structure.
All seismic records presented in this study are made up of one hundred traces
having a total length of 2 s. The trace interval is 25 m, and the time
sampling interval is 4 ms. The vertical axis represents two-way
travel time. The reflection wavelet was designed as a Ricker wavelet
with a peak frequency of 18 Hz. The reflection coefficient of each
model was taken as unity.

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Stanford Exploration Project

11/11/1997