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Mathematical Geology

, Volume 28, Issue 5, pp 625–656 | Cite as

Topological and geometric characterization of fault networks using 3-dimensional Generalized maps

  • Yvon Halbwachs
  • Gabriel Courrioux
  • Xavier Renaud
  • Philippe Repusseau
Article

Abstract

The consistent geometric and topological representation of a fault network is possible through a method based on the implementation of 3-dimensional Generalized maps (3-G-map) enabling all subdivisions of space to be represented. The fault network is modeled as an assemblage of polygonal faces from a set of geometric data on the faults and a knowledge of the relationships between the faults. The resultant model is expressed in terms of a 3-G-map in which volume, surface, and topological information is constructed taking into account computed intersections between faults and known interception relations. The fault network can be edited through an interactive 3-D viewer which provides several tools for navigating within the 3-G-map. Information relevant to a fault network, such as block geometry, connectivity, adjacencies, and connectivity relationships, can be obtained by exploring the data structure of the 3-G-map. The fault network architecture is made comprehensive through interactive modeling and visualization.

Key Words

3D-modeling n-generalized-maps fault network 

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Copyright information

© International Association for Mathematical Geology 1996

Authors and Affiliations

  • Yvon Halbwachs
    • 1
  • Gabriel Courrioux
    • 2
  • Xavier Renaud
    • 2
  • Philippe Repusseau
    • 2
  1. 1.Centre de Recherche en InformatiqueUniversité Louis-PasteurStrasbourg CedexFrance
  2. 2.Bureau de Recherches Géologiques et MinièresOrléans Cedex 2France

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