Off the grid tensor completion for seismic data interpolation

TitleOff the grid tensor completion for seismic data interpolation
Publication TypeConference
Year of Publication2015
AuthorsCurt Da Silva, Felix J. Herrmann
Conference NameEAGE Annual Conference Proceedings
KeywordsEAGE, hierarchical tucker, irregular sampling, off the grid, structured tensor, tensor interpolation

The practical realities of acquiring seismic data in a realistic survey are often at odds with the stringent requirements of Shannon-Nyquist-based sampling theory. The unpredictable movement of the ocean`s currents can be detrimental in acquiring exactly equally-spaced samples while sampling at Nyquist-rates are expensive, given the huge dimensionality and size of the data volume. Recent work in matrix and tensor completion for seismic data interpolation aim to alleviate such stringent Nyquist-based sampling requirements but are fundamentally posed on a regularly-spaced grid. In this work, we extend our previous results in using the so-called Hierarchical Tucker (HT) tensor format for recovering seismic data to the irregularly sampled case. We introduce an interpolation operator that resamples our tensor from a regular grid (in which we impose our low-rank constraints) to our irregular sampling grid. Our framework is very flexible and efficient, depending primarily on the computational costs of this operator. We demonstrate the superiority of this approach on a realistic BG data set compared to using low-rank tensor methods that merely use binning.


(EAGE, Madrid)

Citation Keydasilva2015EAGEogt