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

x : numpy.ndarray

space axis

t : numpy.ndarray

time axis

t0 : tuple or float

intercept time at \(x=0\) of each of hyperbolic event

vrms : tuple or float

root-mean-square velocity of each hyperbolic event

amp : tuple or float

amplitude of each hyperbolic event

wav : numpy.ndarray

wavelet to be applied to data

d : numpy.ndarray

data without wavelet of size \([n_x \times n_t]\)

dwav : numpy.ndarray

data with wavelet of size \([n_x \times n_t]\)


Each event is created using the following relation:

\[t_i(x) = \sqrt{t_{0,i}^2 + \frac{x^2}{v_{\text{rms},i}^2}}\]