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Conference Papers Year : 2021

Implicit 3D Subsurface Structural Modeling by Finite Elements

M. Thierry-Coudon
  • Function : Author
M. Zakari
  • Function : Author
P. Anquez
  • Function : Author
G. Caumon

Abstract

We introduce a method for implicit 3D geological structural modeling based on finite elements. Implicit modeling on tetrahedral meshes has relied on the constant-gradient regularization operator, since this operator was introduced to the geoscience community over a decade ago. We show that this operator is a finite element discretization of the Laplacian operator in disguise. We then propose a finite element discretization of the Hessian energy, leading to a more appropriate regularization operator for minimizing the curvature of the implicit function on tetrahedral meshes. Special attention is needed at model boundary as boundary conditions are unknown.
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Dates and versions

hal-03980872 , version 1 (09-02-2023)

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M. Irakarama, M. Thierry-Coudon, M. Zakari, P. Anquez, G. Caumon. Implicit 3D Subsurface Structural Modeling by Finite Elements. 82nd EAGE Annual Conference & Exhibition, Oct 2021, Amsterdam, Netherlands. pp.1-5, ⟨10.3997/2214-4609.202113091⟩. ⟨hal-03980872⟩
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