pylops.avo.prestack.PrestackWaveletModelling¶
-
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.ndarray
orfloat
, 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
linearization
is 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 :