📄 xdecon1
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#! /bin/shWIDTH=420HEIGHT=400WIDTHOFF1=0WIDTHOFF2=430WIDTHOFF3=860HEIGHTOFF1=50HEIGHTOFF2=500tpow=1 # gain power before examining autocorrelations # tpow=2 might be better for field data###PURPOSE#### We make some simple data: 8 traces with 2-way reverberations and# a weak tilting reflector hidden underneath the reverberations. The# spike data is convolved with the minimum phase wavelet specified below.# Then a tiny bit of noise is added--tiny because: (1) the definition# of signal to noise is stringent--based on the biggest amplitude# on the trace and (2) these are single traces, usually you'd have# a cmp gather and the ultimate goal of stacking to combat noise.# In this demo, we do spiking decon first and then do gapped decon# (prediction error filtering). You are to assume that the decon# parameters are estimated from the autocorrelation shown in frame two.# Construction of the minimum phase wavelet with Mathematica:# (2-z)(3+z)(3-2z)(4+z)(4-2z)(4+3z)//(CoefficientList[#,z])&# {1152, -384, -904, 288, 174, -34, -12}# First make the synthetic data for the deconvolution demo.######START OF MODEL######I=${CWPROOT}/includeL=${CWPROOT}/libmake./traces |suaddhead ns=512 |sushw key=dt a=4000 |suaddnoise sn=200 |suconv filter=1152,-384,-904,288,174,-34,-12 >modeldatarm traces######END OF MODEL####### Plot the model suxwigb <modeldata title="Data: 64ms reverbs" \ windowtitle="Data" \ label1="Time (sec)" label2="Trace" \ wbox=$WIDTH hbox=$HEIGHT xbox=$WIDTHOFF1 ybox=$HEIGHTOFF1 & # Plot the autocorrelation with gainsugain <modeldata tpow=$tpow |suacor nt=31 |suxwigb title="Autocorrelation" \ windowtitle="AutoCorr" \ label1="Time (sec)" label2="Trace" \ wbox=$WIDTH hbox=$HEIGHT xbox=$WIDTHOFF2 ybox=$HEIGHTOFF1 &# The autocorrelation shows that:# wavelet extends to about 30ms# first repetition ends at about 160ms# this accords well with the actual 64ms reverberations and wavelet of 24ms ######DECON EXAMPLES####### First, spike it upsupef <modeldata maxlag=.04 |suxwigb label1="Time" label2="Trace" title="Spiking Decon: 4,40ms" \ windowtitle="Spike" \ wbox=$WIDTH hbox=$HEIGHT xbox=$WIDTHOFF3 ybox=$HEIGHTOFF1 &# Plot the autocorrelation after spikesupef <modeldata maxlag=.04 |sugain tpow=$tpow |suacor nt=31 |suxwigb title="Autocor after spike" \ windowtitle="AutoCorr/Spike" \ label1="Time (sec)" label2="Trace" \ wbox=$WIDTH hbox=$HEIGHT xbox=$WIDTHOFF1 ybox=$HEIGHTOFF2 &# Second, go after the reverberations: note reflector!supef <modeldata maxlag=.04 |supef minlag=.05 maxlag=.16 |suxwigb label1="Time" label2="Trace" \ title="PEF: 50,160ms (Note dipping reflector!)" \ windowtitle="PEF" \ wbox=$WIDTH hbox=$HEIGHT xbox=$WIDTHOFF2 ybox=$HEIGHTOFF2 &# Bandpasssupef <modeldata maxlag=.04 |supef minlag=.05 maxlag=.16 |sufilter f=5,15,80,100 |suxwigb label1="Time" label2="Trace" title="Spike, PEF, BandPass" \ windowtitle="Final" \ wbox=$WIDTH hbox=$HEIGHT xbox=$WIDTHOFF3 ybox=$HEIGHTOFF2 &exit 0
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