Interferometric redatuming by sparse inversion

Interferometric redatuming by sparse inversion

Van der Neut, J.
Herrmann, F.J.

Civil Engineering and Geosciences

Geoscience & Engineering

2012-12-06

Assuming that transmission responses are known between the surface and a particular depth level in the subsurface, seismic sources can be effectively mapped to this level by a process called interferometric redatuming. After redatuming, the obtained wavefields can be used for imaging below this particular depth level. Interferometric redatuming consists of two steps, namely (i) the decomposition of the observed wavefields into downgoing and upgoing constituents and (ii) a multidimensional deconvolution of the upgoing constituents with the downgoing constituents. While this method works in theory, sensitivity to noise and artefacts due to incomplete acquisition require a different formulation. In this letter, we demonstrate the benefits of formulating the two steps that undergird interferometric redatuming in terms of a transform-domain sparsity-promoting program. By exploiting compressibility of seismic wavefields in the curvelet domain, the method not only becomes robust with respect to noise but we are also able to remove certain artefacts while preserving the frequency content. Although we observe improvements when we promote sparsity in the redatumed data space, we expect better results when interferometric redatuming would be combined or integrated with least-squares migration with sparsity promotion in the image space.

inverse theory
interferometry
controlled source seismology

http://resolver.tudelft.nl/uuid:b7d52df3-f801-4a19-a252-32d85bf419cb

https://doi.org/10.1093/gji/ggs052

Royal Astronomical Society

2013-06-06

1365-246X

http://gji.oxfordjournals.org/

Geophysical Journal International, 192 (2), 2013

Institutional Repository

journal article

(c) 2012 The Authors
Published by Oxford University Press on behalf of The Royal Astronomical Society.