Generation of synthetic seismic data

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.