Thin layer filtering and the O'Doherty-Anstey approximation , by Niki Serakiotou

Plane waves are normally incident on a sequence of horizontal layers. If the layers are lossless the shape of the frequency spetrum of the reflection response depends on the reflection coefficient series. The law of dependence can be found by solving the wave equation for the boundary and initial conditions of the seismic experiment. The O'Doherty- Anstey formula is an approximation to this law, and its validity would imply a lowpass spectrum of the reflection response if the reflectivity power spectrum has a highpass trend.


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