pylops.utils.seismicevents.parabolic3d¶

pylops.utils.seismicevents.parabolic3d(x, y, t, t0, px, py, pxx, pyy, amp, wav)[source]¶

Parabolic 3D events

Create 3d parabolic events given intercept time, slowness, curvature, and amplitude of each event.

Parameters:

xnumpy.ndarray: space axis in x direction
ynumpy.ndarray: space axis in y direction
tnumpy.ndarray: time axis
t0tuple or float: intercept time at \(x=0\) and \(y=0\) of each parabolic event
pxtuple or float: slowness of each parabolic event in x direction
pytuple or float: slowness of each parabolic event in y direction
pxxtuple or float: curvature of each parabolic 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:

\[t_i(x, y) = t_{0,i} + p_{x,i} x + p_{y,i} x + p_{xx,i} x^2 + p_{yy,i} y^2\]

Examples using `pylops.utils.seismicevents.parabolic3d`¶