seisflows.plugins.preprocess.adjoint

Adjoints used by the ‘default’ preprocess class use to generate adjoint sources

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

Functions

`waveform`(syn, obs, args, *kwargs)	Waveform difference from Tromp et al 2005 Eq 9
`envelope`(syn, obs, nt, dt[, eps])	Waveform envelope difference from Yuan et al. 2015 Eq. 16
`instantaneous_phase`(syn, obs, nt, dt[, eps])	Instantaneous phase difference from Bozdag et al. 2011 Eq. 27
`traveltime`(syn, obs, nt, dt, args, *kwargs)	Cross-correlation traveltime from Tromp et al. 2005 Eq. 45
`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[, eps])	Envelope amplitude ratio from Yuan et al. 2015 Eq. B-2
`envelope3`(syn, obs, nt, dt[, eps])	Envelope lag from Yuan et al. 2015 Eq. B-2, B-5
`instantaneous_phase2`(syn, obs, nt, dt[, eps])	Alterative instantaneous phase function
`displacement`(syn, obs, nt, dt, args, *kwargs)	Displacement waveform for migration
`velocity`(syn, obs, nt, dt, args, *kwargs)	Velocity waveform for migration, taking derivative of obs
`acceleration`(syn, obs, nt, dt, args, *kwargs)	Acceleration waveform for migration, second derivative of obs

Module Contents

seisflows.plugins.preprocess.adjoint.waveform(syn, obs, *args, **kwargs)

Waveform difference from Tromp et al 2005 Eq 9

Parameters:

syn (np.array) – synthetic data array
obs (np.array) – observed data array

seisflows.plugins.preprocess.adjoint.envelope(syn, obs, nt, dt, eps=0.05, *args, **kwargs)

Waveform envelope difference from Yuan et al. 2015 Eq. 16

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.adjoint.instantaneous_phase(syn, obs, nt, dt, eps=0.05, *args, **kwargs)

Instantaneous phase difference from Bozdag et al. 2011 Eq. 27

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.adjoint.traveltime(syn, obs, nt, dt, *args, **kwargs)

Cross-correlation traveltime from Tromp et al. 2005 Eq. 45

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.adjoint.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.adjoint.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.adjoint.envelope2(syn, obs, nt, dt, eps=0.0, *args, **kwargs)

Envelope amplitude ratio from Yuan et al. 2015 Eq. B-2

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.adjoint.envelope3(syn, obs, nt, dt, eps=0.0, *args, **kwargs)

Envelope lag from Yuan et al. 2015 Eq. B-2, B-5

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.adjoint.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.adjoint.displacement(syn, obs, nt, dt, *args, **kwargs): Displacement waveform for migration

seisflows.plugins.preprocess.adjoint.velocity(syn, obs, nt, dt, *args, **kwargs): Velocity waveform for migration, taking derivative of obs

seisflows.plugins.preprocess.adjoint.acceleration(syn, obs, nt, dt, *args, **kwargs): Acceleration waveform for migration, second derivative of obs Use finite difference to differentiate observatio nwaveform