NAME
fkmod - computes seismograms for 1D elastic model via
reflectivity method
SYNOPSIS
fkmod -Nmodel -Ootap [ -V ]
DESCRIPTION
fkmod - computes the seismograms for a 1D model specified
by the input flatfile (N). The USP output (O) gives the P-P,
P-S, S-P, and S-S F-K spectral responses in an amplitude-
phase format suitable for input to USP program FFT2DA to
obtain seismograms in the X-T domain.
Command line arguments
-N Enter the filename of model immediately after typing
-N. Default: stdin. (See below for model file format.)
-O Enter the filename of the output dataset immediately
after typing -O. Default: stdout.
-V Enter the command line argument '-V' to get additional
printout.
Input file format
nlyr,nt,dt,nx,dx,alpha,cmin,smul,imul
Vp(1),Vs(1),rho(1),thick(1)
Vp(i),Vs(i),rho(i),thick(i)
Vp(nlyr),Vs(nlyr),rho(nlyr)
where
nlyr = #layers incl. basal halfspace
nt = number of time samples (pwr. of 2)
dt = time sample interval
nx = number of space samples (pwr. of 2)
dx = space sample interval
alpha = anti-wrap exp. time taper
cmin = min. velocity to evaluate fk spectrum
smul = 0 for no free surface multiples
imul = 0 for no internal multiples
(note: if all Vs() = 0, does only acoustic (P-P) calcula-
tion)
Notes
The lineheader entry SmpInt is set to 1 and the actual time
increment is written to entry UnitSc to allow other USP pro-
grams to pick up the correct time increment. After fourier
transforming the output of FKMOD from frequency to time, an
exponential gain must be applied to remove the exponential
anti-wrap taper. This can be done using USP program
TTOTHEN. The appropriate gain exponent is written to the
FKMOD printfile when the verbose (V) option is enabled. The
F-K spectral output gives the upgoing planewave amplitudes
at the top of layer 1 due to unit downgoing planewave exci-
tation. In the X-T domain this corresponds to unit 2D
dipole sources. The cmin entry in the model file limits
evaluation of the F-K spctrum to apparent velocities above
cmin. This can be used for example, to speed up calcula-
tions when slow shear velocities are used to simulate acous-
tic layers. Aside from cmin, no shaping is applied to the
F-K spectrum; the data may be bandlimited using other USP
programs such as POLYMUTE or FILT. The F-K output can also
be used to create tau-p and 3D source responses. This code
is ideal for generating data to test surface related demul-
tiple processing because the X-T output conforms to all sur-
face related demultiple assumptions.
Example
fkmod -Nmodel -Ofkout -V
fft2da -Nfkdat -R|ttothen -E -exp.9675 -Oxtdat
model:
5 1024 .008 1024 15 8 1000. 1 1
1500.00 10.00 1.00 500.0
2000.00 700.00 1.80 500.0
2500.00 1200.00 2.10 500.0
4000.00 2500.00 2.30 1000.0
2300.00 900.00 2.30
BUGS
AUTHOR
Tony Nekut EPTG/ATTC (x4106) after E. Verschuur of DELPHI
consortium.
COPYRIGHT
copyright 2001, Amoco Production Company
All Rights Reserved
an affiliate of BP America Inc.
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