Méthodes numériques 3-D de restauration des structures géologiques faillées

Pierre Muron. ( 2005 )
Institut National Polytechnique de Lorraine

Abstract

Structural restoration aims at removing iteratively deformation to characterize geometry of subsurface models at time of deposition, it provides a systematic way to test and validate structural models against a set of geological hypothesis and concepts. This technique is widely used in exploration and production of hydrocarbons as it brings valuable insights for the interpretation and understanding of geological structures. This thesis is focused on the development of numerical methods for the restoration of volumetric models ; three different topics are successively covered : 1) The development of a volumetric representation tailored for volumetric restoration : a data structure, referred as Solid Model, based on a conforming tetrahedral mesh is generated from a structural model and provides key metainformation to handle logical and geological relationship within the mesh. 2) The sequential restoration of continuous deformation : a parameterized objective function subject to specific boundary conditions guides the behaviour of the volumetric model through time. Several approaches are developed : (1) the kinematical approach defines the objective function based on geometrical assumptions derived from deformation styles (2) the mechanical approach relies on the conservation of momentum. The Solid Model ensures a consistent transition from geological requirements to computational requirements. 3) The restoration of discontinuous deformation : a set of kinematical contact constraints is automatically derived from the meta-model provided by the Solid Model and ensures the geological consistency of the fault network in the restored state. The numerical technique enforcing the contact constraints relies on classical contact mechanics algorithm.

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BibTeX Reference

@PHDTHESIS{Muron2005a,
    author = { Muron, Pierre },
     title = { Méthodes numériques 3-D de restauration des structures géologiques faillées },
      year = { 2005 },
    school = { Institut National Polytechnique de Lorraine },
  abstract = { Structural restoration aims at removing iteratively deformation to characterize geometry of subsurface models at time of deposition, it provides a systematic way to test and validate structural models against a set of geological hypothesis and concepts. This technique is widely used in exploration and production of hydrocarbons as it brings valuable insights for the interpretation and understanding of geological structures. This thesis is focused on the development of numerical methods for the restoration of volumetric models ; three different topics are successively covered : 1) The development of a volumetric representation tailored for volumetric restoration : a data structure, referred as Solid Model, based on a conforming tetrahedral mesh is generated from a structural model and provides key metainformation to handle logical and geological relationship within the mesh. 2) The sequential restoration of continuous deformation : a parameterized objective function subject to specific boundary conditions guides the behaviour of the volumetric model through time. Several approaches are developed : (1) the kinematical approach defines the objective function based on geometrical assumptions derived from deformation styles (2) the mechanical approach relies on the conservation of momentum. The Solid Model ensures a consistent transition from geological requirements to computational requirements. 3) The restoration of discontinuous deformation : a set of kinematical contact constraints is automatically derived from the meta-model provided by the Solid Model and ensures the geological consistency of the fault network in the restored state. The numerical technique enforcing the contact constraints relies on classical contact mechanics algorithm. }
}