1887
  1. Home
  2. Conferences
  3. Conference Proceedings
  4. First EAGE Digitalization Conference and Exhibition
  5. Conference paper

Abstract

Summary

A number of algorithms developed in geomodelling software rely on the Discrete Smooth Interpolation (DSI) method, a mathematical framework which enables interpolation of sparse values with geological and geophysical constraints on any type of discrete models such as triangulated surfaces or volumetric grids. Leaning perhaps more towards data integration than machine learning, this powerful tool is also evolving as part of our digital transformation. Today’s dynamic environment is favourable to building upon DSI’s principles and ability to add geological or physical concepts as constraints in discrete models.

DSI already offers solutions to many geomodelling problems as part of a successful commercial software suite. The Fourth Industrial Revolution is an opportunity to rejuvenate DSI by lifting it out of the geomodelling toolkit and making it available as a separate entity for any scientist to use, as a seamless and invisible link between linear equations and elegant solutions.

In this paper, we first review the Discrete Smooth Interpolation theory, then show how we currently apply it to various geomodelling problems and finally, we look towards its future in helping us solve our digital challenges in different domains.

© EAGE Publications BV
Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.202032041
2020-11-30
2024-04-28

  • From This Site

    /content/papers/10.3997/2214-4609.202032041
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. Caumon, G., Gray, G., Antoine, C. and Titeux, M.O.
    [2013] Three-Dimensional Implicit Stratigraphic Model Building From Remote Sensing Data on Tetrahedral Meshes: Theory and Application to a Regional Model of La Popa Basin, NE Mexico. IEEE Transactions on Geoscience and Remote Sensing, 51(3), 1613–1621.
     [Google Scholar]
  2. Cognot, R.
    [1996] La méthode D.S.I.: optimisation, implémentation et applications. Ph.D. thesis, Institut National Polytechnique de Lorraine, Nancy, France.
     [Google Scholar]
  3. Mallet, J.L.
    [1989] Discrete smooth interpolation. ACM Transactions on Graphics, 8(2), 121–144.
     [Google Scholar]
  4. [2002] Geomodeling. Oxford University Press, Inc., New York, NY, USA.
     [Google Scholar]
  5. [2004] Space-Time mathematical framework for sedimentary geology. Mathematical Geology, 36, N.1, 1–32.
     [Google Scholar]
  6. Moyen, R., Mallet, J.L., Frank, T., Leflon, B. and Royer, J.J.
    [2004] 3D-Parameterization of the 3D Geological Space - The GeoChron Model. In: ECMOR IX. EAGE, Cannes, France, 8.
     [Google Scholar]
  7. Muron, P.
    [2005] Méthodes numériques 3D de restauration des structures géologiques faillées. Ph.D. thesis, Institut National Polytechnique de Lorraine, Nancy, France.
     [Google Scholar]
  8. Naveh, Y., Liram, L., Dekel, G. and Koren, Z.
    [2014] Time preserving tomography. In: SEG Technical Program Expanded Abstracts 2014. Society of Exploration Geophysicists, 4793–4797.
     [Google Scholar]
  9. Tertois, A.L. and Mallet, J.L.
    [2007] Editing Faults within Tetrahedral Volume Models in Real Time. In: Structurally Complex Reservoirs, Geological Society of London, London, UK, 89–101.
     [Google Scholar]
  10. [2019] Restoration of Complex Three-Dimensional Structural Models Based on the Mathematical GeoChron Framework. In: 81st EAGE Conference and Exhibition 2019. EAGE Publications BV, 5.
     [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.202032041
Loading
Solving Problems with the Discrete Smooth Interpolation Framework, from Geomodelling to Geophysics and Beyond
Conference Proceedings 2020, 1 (2020); https://doi.org/10.3997/2214-4609.202032041
/content/papers/10.3997/2214-4609.202032041
/content/papers/10.3997/2214-4609.202032041
Loading

Data & Media loading...

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error