pylops.utils.seismicevents.linear3d#

pylops.utils.seismicevents.linear3d(x, y, t, v, t0, theta, phi, amp, wav)[source]#

Linear 3D events

Create 3d linear events given propagation velocity, intercept time, angles, and amplitude of each event.

Parameters

xnumpy.ndarray: space axis in x direction
ynumpy.ndarray: space axis in y direction
tnumpy.ndarray: time axis
vfloat: propagation velocity
t0tuple or float: intercept time at \(x=0\) and \(y=0\) of each linear event
thetatuple or float: angle in x direction (in degrees) of each linear event
phituple or float: angle in y direction (in degrees) of each linear event
amptuple or float: amplitude of each linear event
wavnumpy.ndarray: wavelet to be applied to data

Returns

dnumpy.ndarray: data without wavelet of size \([n_y \times n_x \times n_t]\)
dwavnumpy.ndarray: data with wavelet of size \([n_y \times n_x \times n_t]\)

Notes

Each event is created using the following relation:

\[t_i(x, y) = t_{0,i} + p_{x,i} x + p_{y,i} y\]

where \(p_{x,i}=\frac{1}{v} \sin( \theta_i)\cos( \phi_i)\) and \(p_{x,i}=\frac{1}{v} \sin( \theta_i)\sin( \phi_i)\).