pylops.utils.seismicevents.hyperbolic3d¶
-
pylops.utils.seismicevents.
hyperbolic3d
(x, y, t, t0, vrms_x, vrms_y, amp, wav)[source]¶ Hyperbolic 3D events
Create 3d hyperbolic events given intercept time, root-mean-square velocities, and amplitude of each event
Parameters: - x :
numpy.ndarray
space axis in x direction
- y :
numpy.ndarray
space axis in y direction
- t :
numpy.ndarray
time axis
- t0 :
tuple
orfloat
intercept time at \(x=0\) of each of hyperbolic event
- vrms_x :
tuple
orfloat
root-mean-square velocity in x direction for each hyperbolic event
- vrms_y :
tuple
orfloat
root-mean-square velocity in y direction for each hyperbolic event
- amp :
tuple
orfloat
amplitude of each hyperbolic event
- wav :
numpy.ndarray
wavelet to be applied to data
Returns: - d :
numpy.ndarray
data without wavelet of size \([n_y \times n_x \times n_t]\)
- dwav :
numpy.ndarray
data with wavelet of size \([n_y \times n_x \times n_t]\)
Notes
Each event is created using the following relation:
\[t_i(x, y) = \sqrt{t_{0,i}^2 + x^2 / v_{rms_x, i}^2 + y^2 / v_{rms_y, i}^2}\]Note that velocities do not have a physical meaning here (compared to the corresponding
pylops.utils.seismicevents.hyperbolic2d
), they rather simply control the curvature of the hyperboloid along the spatial axes.- x :