TY - JOUR
T1 - Multichannel deconvolution, MCD, in geophysics and helioseismology
AU - Jacobsen, B.H.
AU - Møller, I.
AU - Jensen, J.M.
AU - Effersø, F.
N1 - Funding Information:
Acknowgements. This work was supported by The Danish Natural Science Research Council, Aarhus University, and Theoretical Astrophysics Center (Copenhagen/Aarhus). Helioseismic data were made available to us by Thomas L. Duvall, Stanford University, and electrical welllog data by Kurt Soerensen, Aarhus University. Calculations in Fig. 3c used a geoelectrical finite difference code made available by Douglas W. Oldenburg, University of British Columbia.
PY - 1999
Y1 - 1999
N2 - Whenever data sampling is regular along a coordinate in space and/or time, it is relevant to look for approximate shift invariance which casts the forward problem into a convolution formulation. The resulting computations may be speeded up significantly through the Fourier transform. For nonlinear problems the Born approximation in horizontally stratified media leads to just such a result. In many cases the noise is well approximated by a stationary process, and it turns out that the resulting inverse solution is then a multi-channel deconvolution. This formulation allows very fast inversion in the periodic approximation of densely sampled high volume data sets. New applications within geophysical well logging, continuous geoelectrical sounding/profiling, and 3D helioseismic tomography demonstrate the wide applicability of this method.
AB - Whenever data sampling is regular along a coordinate in space and/or time, it is relevant to look for approximate shift invariance which casts the forward problem into a convolution formulation. The resulting computations may be speeded up significantly through the Fourier transform. For nonlinear problems the Born approximation in horizontally stratified media leads to just such a result. In many cases the noise is well approximated by a stationary process, and it turns out that the resulting inverse solution is then a multi-channel deconvolution. This formulation allows very fast inversion in the periodic approximation of densely sampled high volume data sets. New applications within geophysical well logging, continuous geoelectrical sounding/profiling, and 3D helioseismic tomography demonstrate the wide applicability of this method.
UR - http://www.scopus.com/inward/record.url?scp=0032781775&partnerID=8YFLogxK
U2 - 10.1016/S1464-1895(99)00021-6
DO - 10.1016/S1464-1895(99)00021-6
M3 - Article
AN - SCOPUS:0032781775
SN - 1464-1895
VL - 24
SP - 215
EP - 220
JO - Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy
JF - Physics and Chemistry of the Earth, Part A: Solid Earth and Geodesy
IS - 3
ER -