We present a new method for the extraction and removal of the source
wavelet from the reflection seismogram. In contrast to all other
methods currently in use, this one does not demand that there be
any mathematically convenient relationship between the phase spectrum
of the source wavelet and the phase spectrum of the earth impulse
response. Instead, it requires a fundamental change in the field
technique such that two different seismograms are now generated from
each source-receiver pair: the source and receiver locations stay
the same, but the source used to generate one seismogram is a scaled
version of the source used to generate the other. A scaling law provides
the relationship between the two source signatures and permits the
earth impulse response to be extracted from the seismograms without
any of the usual assumptions about phase. We derive the scaling law
for point sources in an homogeneous isotropic medium. Next, we describe
a method for the solution of the set of three simultaneous equations
and test it rigorously using a variety of synthetic data and two
types of synthetic source waveform: damped sine waves and non-minimum-phase
air gun waveforms. Finally we demonstrate that this method is stable
in the presence of noise.
%0 Journal Article
%1 ziolkowski_etal:1980
%A Ziolkowski, A. M.
%A Lerwill, W. E.
%A March, D. W.
%A Peardon, L. G.
%C National Coal Board; now with The British National Oil Corporation.;
Seismograph Service (England) Ltd.
%D 1980
%J Geophysical Prospecting
%K geophysics seismics
%N 6
%P 872--901
%R 10.1111/j.1365-2478.1980.tb01266.x
%T Wavelet deconvolution using a source scaling law
%U http://dx.doi.org/10.1111/j.1365-2478.1980.tb01266.x
%V 28
%X We present a new method for the extraction and removal of the source
wavelet from the reflection seismogram. In contrast to all other
methods currently in use, this one does not demand that there be
any mathematically convenient relationship between the phase spectrum
of the source wavelet and the phase spectrum of the earth impulse
response. Instead, it requires a fundamental change in the field
technique such that two different seismograms are now generated from
each source-receiver pair: the source and receiver locations stay
the same, but the source used to generate one seismogram is a scaled
version of the source used to generate the other. A scaling law provides
the relationship between the two source signatures and permits the
earth impulse response to be extracted from the seismograms without
any of the usual assumptions about phase. We derive the scaling law
for point sources in an homogeneous isotropic medium. Next, we describe
a method for the solution of the set of three simultaneous equations
and test it rigorously using a variety of synthetic data and two
types of synthetic source waveform: damped sine waves and non-minimum-phase
air gun waveforms. Finally we demonstrate that this method is stable
in the presence of noise.
@article{ziolkowski_etal:1980,
abstract = {We present a new method for the extraction and removal of the source
wavelet from the reflection seismogram. In contrast to all other
methods currently in use, this one does not demand that there be
any mathematically convenient relationship between the phase spectrum
of the source wavelet and the phase spectrum of the earth impulse
response. Instead, it requires a fundamental change in the field
technique such that two different seismograms are now generated from
each source-receiver pair: the source and receiver locations stay
the same, but the source used to generate one seismogram is a scaled
version of the source used to generate the other. A scaling law provides
the relationship between the two source signatures and permits the
earth impulse response to be extracted from the seismograms without
any of the usual assumptions about phase. We derive the scaling law
for point sources in an homogeneous isotropic medium. Next, we describe
a method for the solution of the set of three simultaneous equations
and test it rigorously using a variety of synthetic data and two
types of synthetic source waveform: damped sine waves and non-minimum-phase
air gun waveforms. Finally we demonstrate that this method is stable
in the presence of noise.},
added-at = {2012-09-01T13:08:21.000+0200},
address = {National Coal Board; now with The British National Oil Corporation.;
Seismograph Service (England) Ltd.},
author = {Ziolkowski, A. M. and Lerwill, W. E. and March, D. W. and Peardon, L. G.},
biburl = {https://www.bibsonomy.org/bibtex/2adb87817cd70120a44216a179723cdd2/nilsma},
doi = {10.1111/j.1365-2478.1980.tb01266.x},
interhash = {f49b57b1cb7639f80c2f09261a827af4},
intrahash = {adb87817cd70120a44216a179723cdd2},
issn = {1365-2478},
journal = {Geophysical Prospecting},
keywords = {geophysics seismics},
month = dec,
number = 6,
pages = {872--901},
timestamp = {2021-02-09T13:25:06.000+0100},
title = {Wavelet deconvolution using a source scaling law},
url = {http://dx.doi.org/10.1111/j.1365-2478.1980.tb01266.x},
volume = 28,
year = 1980
}