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The Use of Structure Tensors in the Analysis of Seismic Data

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Mathematical Methods and Modelling in Hydrocarbon Exploration and Production

Part of the book series: Mathematics in Industry ((MATHINDUSTRY,volume 7))

Summary

The first and second order structure tensors, simply estimated by differencing the image, can be used to quantify the local structure of seismic data and their departure from laminar structure. They can be used to distinguish chaotic regions as well as regions of interest, like mounds and horizon terminations from stratified regions. They have been well established in the processing of 2D images, but their application to 3D volume data is still a largely unexplored field of research. This chapter reviews the properties of these tensors and their application to image processing in general, and demonstrates their usefulness in the analysis of 2D and 3D seismic data.

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Author information

Authors and Affiliations

  1. School of Electronics and Physical Sciences, University of Surrey, Guildford, UK

    Maria Faraklioti & Maria Petrou

Authors
  1. Maria Faraklioti
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  2. Maria Petrou
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Leicester, University Road, Leicester, LE1 7RH, UK

    Armin Iske

  2. Schlumberger Stavanger Research, Risabergveien 3, 4068, Stavanger, Norway

    Trygve Randen

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© 2005 Springer-Verlag Berlin Heidelberg

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Faraklioti, M., Petrou, M. (2005). The Use of Structure Tensors in the Analysis of Seismic Data. In: Iske, A., Randen, T. (eds) Mathematical Methods and Modelling in Hydrocarbon Exploration and Production. Mathematics in Industry, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26493-0_3

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