pylops.avo.avo.AVOLinearModelling¶
-
class
pylops.avo.avo.
AVOLinearModelling
(theta, vsvp=0.5, nt0=1, spatdims=None, linearization='akirich', dtype='float64')[source]¶ AVO Linearized modelling.
Create operator to be applied to a combination of elastic parameters for generation of seismic pre-stack reflectivity.
Parameters: - theta :
np.ndarray
Incident angles in degrees
- vsvp :
np.ndarray
orfloat
VS/VP ratio
- nt0 :
int
, optional number of samples (if
vsvp
is a scalar)- spatdims :
int
ortuple
, optional Number of samples along spatial axis (or axes) (
None
if only one dimension is available)- linearization :
str
, optional choice of linearization,
akirich
: Aki-Richards,fatti
: Fatti- dtype :
str
, optional Type of elements in input array.
Raises: - NotImplementedError
If
linearization
is not an implemented linearization
Notes
The AVO linearized operator performs a linear combination of three (or two) elastic parameters arranged in input vector \(\mathbf{m}\) of size \(n_{t0} \times N\) to create the so-called seismic reflectivity:
\[r(t, \theta, x, y) = \sum_{i=1}^N G_i(t, \theta) m_i(t, x, y) \qquad \forall \quad t, \theta\]where \(N=2/3\). Note that the reflectivity can be in 1d, 2d or 3d and
spatdims
contains the dimensions of the spatial axis (or axes) \(x\) and \(y\).Attributes: Methods
__init__
(theta[, vsvp, nt0, spatdims, …])Initialize this LinearOperator. adjoint
()Hermitian adjoint. apply_columns
(cols)Apply subset of columns of operator cond
([uselobpcg])Condition number of linear operator. conj
()Complex conjugate operator div
(y[, niter])Solve the linear problem \(\mathbf{y}=\mathbf{A}\mathbf{x}\). dot
(x)Matrix-matrix or matrix-vector multiplication. eigs
([neigs, symmetric, niter, uselobpcg])Most significant eigenvalues of linear operator. matmat
(X)Matrix-matrix multiplication. matvec
(x)Matrix-vector multiplication. rmatmat
(X)Adjoint matrix-matrix multiplication. rmatvec
(x)Adjoint matrix-vector multiplication. todense
()Return dense matrix. tosparse
()Return sparse matrix. transpose
()Transpose this linear operator. - theta :