pynetdesign.modelling.homo.calculate_fpeak

pynetdesign.modelling.homo.calculate_fpeak(v, Q, r, fcorner=None)

Calculates the peak frequency \(f_{peak}\) for particle velocity in a homogeneous medium given the wave velocity \(v\), the attenuation factor \(Q\), and the distance from a source \(r\) using:

\[f_{peak} = \frac{vQ}{\pi r}.\]

The peak frequency estimate is only valid for frequencies below the corner frequency [Eisner et al., 2013].

Parameters:

vfloat

wave velocity

Qfloat

attenuation factor

rfloat

distance from the source

fcornerfloat, optional, default: None

Corner frequency that limits the peak frequency. If None, defaults to 100 Hz.

Returns:

fpeakfloat

Peak frequency for particle velocity

References

Eisner, L., Gei, D., Hallo, M., Opršal, I., & Ali, M. Y. (2013). The peak frequency of direct waves for microseismic events. Geophysics, 78(6), A45–A49. https://doi.org/10.1190/geo2013-0197.1