pylops.utils.seismicevents.hyperbolic2d#
- pylops.utils.seismicevents.hyperbolic2d(x, t, t0, vrms, amp, wav)[source]#
Hyperbolic 2D events
Create 2d hyperbolic events given intercept time, root-mean-square velocity, and amplitude of each event
- Parameters
- x
numpy.ndarray
space axis
- t
numpy.ndarray
time axis
- t0
tuple
orfloat
intercept time at \(x=0\) of each of hyperbolic event
- vrms
tuple
orfloat
root-mean-square velocity of each hyperbolic event
- amp
tuple
orfloat
amplitude of each hyperbolic event
- wav
numpy.ndarray
wavelet to be applied to data
- x
- Returns
- d
numpy.ndarray
data without wavelet of size \([n_x \times n_t]\)
- dwav
numpy.ndarray
data with wavelet of size \([n_x \times n_t]\)
- d
Notes
Each event is created using the following relation:
\[t_i(x) = \sqrt{t_{0,i}^2 + \frac{x^2}{v_{\text{rms},i}^2}}\]