pylops.avo.prestack.PrestackWaveletModelling¶
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pylops.avo.prestack.PrestackWaveletModelling(m, theta, nwav, wavc=None, vsvp=0.5, linearization='akirich')[source]¶ Pre-stack linearized seismic modelling operator for wavelet.
Create operator to be applied to a wavelet for generation of band-limited seismic angle gathers using a linearized version of the Zoeppritz equation.
Parameters: - m :
np.ndarray elastic parameter profles of size \([n_{t0} \times N]\) where \(N=3/2\)
- theta :
int Incident angles in degrees
- nwav :
np.ndarray Number of samples of wavelet to be applied/estimated
- wavc :
int, optional Index of the center of the wavelet
- vsvp :
np.ndarrayorfloat, optional VS/VP ratio
- linearization :
str, optional choice of linearization,
akirich: Aki-Richards,fatti: Fatti
Returns: - Mconv :
LinearOperator pre-stack modelling operator for wavelet estimation.
Raises: - NotImplementedError
If
linearizationis not an implemented linearization
Notes
Pre-stack seismic modelling for wavelet estimate is the process of constructing seismic reflectivities using three (or two) profiles of elastic parameters in time (or depth) domain arranged in an input vector \(\mathbf{m}\) of size \(nt0 \times N\):
\[d(t, \theta) = \sum_{i=1}^N G_i(t, \theta) m_i(t) * w(t)\]where \(w(t)\) is the time domain seismic wavelet. In compact form:
\[\mathbf{d}= \mathbf{G} \mathbf{w}\]On the other hand, pre-stack wavelet estimation aims at recovering the wavelet given knowledge of the band-limited seismic pre-stack data and the elastic parameter profiles.
- m :
