# Reconstruction of Piecewise-explicit Surfaces from Three-dimensional Polylines - Applications in Seismic Interpretation in Compressive Domain

### Joseph Baudrillard, Sébastien Guillon, Jean-Marc Chassery, Michèle Rombaut, Kai Wang

#### Abstract

Oil and gas exploration relies heavily on the knowledge of the underground structure. By conducting seismic reflection surveys, an image of the subsurface is obtained in the form of a 3D "cube", on which geological objects are interpreted. Amongst them, deposition surfaces (called horizons) are numerically modelized in order to assess the economical potential of a hydrocarbon field. The use of geo-referenced heightmaps is standard practice to represent horizons as they are mostly horizontal surfaces. In our context a heightmap is a geolocalized image, whose pixel values are a vertical elevation distance. However horizons are not always explicit; in other words, they cannot be projected vertically on a heightmap anymore. Yet many geological structures lead to the interpretation of such horizons, for example inverse faults in compressive domain. They are called "multivalued" as several height values are associated to the surface at some locations on the heightmap. For practical reasons, horizons are typically defined by hand-picked polylines. They are then vertically projected on a heightmap as pixels that are interpolated in a process called "gridding", in order to create a dense continuous surface. A new model is therefore required in order to represent a multivalued horizon, as well as methods to reconstruct it by interpolation from sparse three dimensional polylines. Triangulation and seismic attributes will also be adapted to the new model developped for gridding.

Download#### Paper Citation

#### in Harvard Style

Baudrillard J., Guillon S., Chassery J., Rombaut M. and Wang K. (2018). **Reconstruction of Piecewise-explicit Surfaces from Three-dimensional Polylines - Applications in Seismic Interpretation in Compressive Domain**.In *Doctoral Consortium - DCGISTAM,* ISBN , pages 8-18

#### in Bibtex Style

@conference{dcgistam18,

author={Joseph Baudrillard and Sébastien Guillon and Jean-Marc Chassery and Michèle Rombaut and Kai Wang},

title={Reconstruction of Piecewise-explicit Surfaces from Three-dimensional Polylines - Applications in Seismic Interpretation in Compressive Domain},

booktitle={Doctoral Consortium - DCGISTAM,},

year={2018},

pages={8-18},

publisher={SciTePress},

organization={INSTICC},

doi={},

isbn={},

}

#### in EndNote Style

TY - CONF

JO - Doctoral Consortium - DCGISTAM,

TI - Reconstruction of Piecewise-explicit Surfaces from Three-dimensional Polylines - Applications in Seismic Interpretation in Compressive Domain

SN -

AU - Baudrillard J.

AU - Guillon S.

AU - Chassery J.

AU - Rombaut M.

AU - Wang K.

PY - 2018

SP - 8

EP - 18

DO -