Building folded horizon surfaces from 3D points: a new method based on geomechanical restoration

in: Proceedings of IAMG 2015 Freiberg. The 17th Annual Conference of the International Association for Mathematical Geosciences, International Association for Mathematical Geosciences

Abstract

Classical methods to build stratigraphic horizon surfaces in geomodelling are based on spatially constant geometric or statistical regularization criteria. However, mechanical deformations generating these structures may localize deformations differently based on mechanical heterogeneities. We propose a geomechanical method to build a 3D stratigraphic model from 3D horizon points (from seismic data or interpretive cross sections). We use mechanics-based restoration, based on finite element elastic computations, to flatten the points and build the interpolating surfaces. Restoration boundary conditions are transferred from the horizon points onto a meshed volume using barycentric coordinates. After each restoration step, a flat surface defined by the restored points of the uppermost horizon is built. Reversing the restoration vectors yields the deformed interpolating surface geometry.

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    BibTeX Reference

    @INPROCEEDINGS{,
        author = { Chauvin, Benjamin and Caumon, Guillaume },
        editor = { Schaeben, Helmut and Delgado, Raimon Tolosana and Boogaart van den, K. G. and Boogaart van den, Regina },
         title = { Building folded horizon surfaces from 3D points: a new method based on geomechanical restoration },
         month = { "sep" },
     booktitle = { Proceedings of IAMG 2015 Freiberg. The 17th Annual Conference of the International Association for Mathematical Geosciences },
          year = { 2015 },
    organization = { International Association for Mathematical Geosciences },
          isbn = { 978-3-00-050337-5 },
      abstract = { Classical methods to build stratigraphic horizon surfaces in geomodelling are based on
    spatially constant geometric or statistical regularization criteria. However, mechanical deformations generating these structures may localize deformations differently based on mechanical heterogeneities. We propose a geomechanical method to build a 3D stratigraphic
    model from 3D horizon points (from seismic data or interpretive cross sections). We use
    mechanics-based restoration, based on finite element elastic computations, to flatten the
    points and build the interpolating surfaces. Restoration boundary conditions are transferred from the horizon points onto a meshed volume using barycentric coordinates. After
    each restoration step, a flat surface defined by the restored points of the uppermost horizon is
    built. Reversing the restoration vectors yields the deformed interpolating surface geometry. }
    }