seisflows.plugins.preprocess.misfit

Misfit functions used by the ‘default’ preprocess class use to quantify differences between data and synthetics.

All functions defined have four required positional arguments

type syn

np.array

param syn

synthetic data array

type obs

np.array

param obs

observed data array

type nt

int

param nt

number of time steps in the data array

type dt

float

param dt

time step in sec

Module Contents

Functions

waveform(syn, obs, nt, dt, *args, **kwargs)

Direct waveform differencing

envelope(syn, obs, nt, dt, *args, **kwargs)

Waveform envelope difference from Yuan et al. 2015 Eq. 9

instantaneous_phase(syn, obs, nt, dt, *args, **kwargs)

Instantaneous phase difference from Bozdag et al. 2011

traveltime(syn, obs, nt, dt, *args, **kwargs)

Cross-correlation traveltime

traveltime_inexact(syn, obs, nt, dt, *args, **kwargs)

A faster cc traveltime function but possibly innacurate

amplitude(syn, obs, nt, dt, *args, **kwargs)

Cross-correlation amplitude difference

envelope2(syn, obs, nt, dt, *args, **kwargs)

Envelope amplitude ratio from Yuan et al. 2015 Eq. B-1

envelope3(syn, obs, nt, dt[, eps])

Envelope cross-correlation lag from Yuan et al. 2015, Eq. B-4

instantaneous_phase2(syn, obs, nt, dt[, eps])

Alterative instantaneous phase function

displacement(*args, **kwargs)

velocity(*args, **kwargs)

acceleration(*args, **kwargs)

seisflows.plugins.preprocess.misfit.waveform(syn, obs, nt, dt, *args, **kwargs)

Direct waveform differencing

Parameters

  • syn (np.array) – synthetic data array

  • obs (np.array) – observed data array

  • nt (int) – number of time steps in the data array

  • dt (float) – time step in sec

seisflows.plugins.preprocess.misfit.envelope(syn, obs, nt, dt, *args, **kwargs)

Waveform envelope difference from Yuan et al. 2015 Eq. 9

Parameters

  • syn (np.array) – synthetic data array

  • obs (np.array) – observed data array

  • nt (int) – number of time steps in the data array

  • dt (float) – time step in sec

seisflows.plugins.preprocess.misfit.instantaneous_phase(syn, obs, nt, dt, *args, **kwargs)

Instantaneous phase difference from Bozdag et al. 2011

Parameters

  • syn (np.array) – synthetic data array

  • obs (np.array) – observed data array

  • nt (int) – number of time steps in the data array

  • dt (float) – time step in sec

seisflows.plugins.preprocess.misfit.traveltime(syn, obs, nt, dt, *args, **kwargs)

Cross-correlation traveltime

Parameters

  • syn (np.array) – synthetic data array

  • obs (np.array) – observed data array

  • nt (int) – number of time steps in the data array

  • dt (float) – time step in sec

seisflows.plugins.preprocess.misfit.traveltime_inexact(syn, obs, nt, dt, *args, **kwargs)

A faster cc traveltime function but possibly innacurate

Parameters

  • syn (np.array) – synthetic data array

  • obs (np.array) – observed data array

  • nt (int) – number of time steps in the data array

  • dt (float) – time step in sec

seisflows.plugins.preprocess.misfit.amplitude(syn, obs, nt, dt, *args, **kwargs)

Cross-correlation amplitude difference

Parameters

  • syn (np.array) – synthetic data array

  • obs (np.array) – observed data array

  • nt (int) – number of time steps in the data array

  • dt (float) – time step in sec

seisflows.plugins.preprocess.misfit.envelope2(syn, obs, nt, dt, *args, **kwargs)

Envelope amplitude ratio from Yuan et al. 2015 Eq. B-1

Parameters

  • syn (np.array) – synthetic data array

  • obs (np.array) – observed data array

  • nt (int) – number of time steps in the data array

  • dt (float) – time step in sec

seisflows.plugins.preprocess.misfit.envelope3(syn, obs, nt, dt, eps=0.0, *args, **kwargs)

Envelope cross-correlation lag from Yuan et al. 2015, Eq. B-4

Parameters

  • syn (np.array) – synthetic data array

  • obs (np.array) – observed data array

  • nt (int) – number of time steps in the data array

  • dt (float) – time step in sec

seisflows.plugins.preprocess.misfit.instantaneous_phase2(syn, obs, nt, dt, eps=0.0, *args, **kwargs)

Alterative instantaneous phase function

Parameters

  • syn (np.array) – synthetic data array

  • obs (np.array) – observed data array

  • nt (int) – number of time steps in the data array

  • dt (float) – time step in sec

seisflows.plugins.preprocess.misfit.displacement(*args, **kwargs)
seisflows.plugins.preprocess.misfit.velocity(*args, **kwargs)
seisflows.plugins.preprocess.misfit.acceleration(*args, **kwargs)