For the sample Ricker wavelet defined with the peak angular frequency of ωp≈188.5 rad/s, the full frequency band is 2ωb≈217.7 rad/s (Figure 2b).
What is the analytic derivative of the Ricker wavelet?
Analytic expression
The amplitude A of the Ricker wavelet with peak frequency f at time t is computed like so: A = ( 1 − 2 π 2 f 2 t 2 ) e − π 2 f 2 t 2 \displaystyle A=(1-2\pi ^2f^2t^2)e^-\pi ^2f^2t^2
What is seismic wavelet?
The seismic wavelet is the link between seismic data (traces), interpretations and the geology (reflection coefficients). It must be accurately known (estimated or measured) and quantified in all stages of the seismic cycle (from modelling, acquisition, processing, interpretation, inversion and reservoir work).