Multichannel deconvolution, MCD, in geophysics and helioseismology

B.H. Jacobsen, I. Møller, J.M. Jensen, F. Effersø

Research output: Contribution to journalArticleResearchpeer-review

18 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)215-220
Number of pages6
JournalPhysics and Chemistry of the Earth, Part A: Solid Earth and Geodesy
Issue number3
Publication statusPublished - 1999
Externally publishedYes

Programme Area

  • Programme Area 2: Water Resources


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