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Comparison of advanced discretization techniques for image-based modelling of heterogeneous porous rocks

  • Karim Ehab Moustafa Kamel
  • Jean-Baptiste Colliat
  • Pierre GerardEmail author
  • Thierry J. Massart
Research Paper
  • 72 Downloads

Abstract

This contribution presents an assessment of computational techniques enabling automated simulations of complex porous rocks microstructures based on 3D imaging techniques. A subset of a CT-scanned sandstone sample is used to compare the results obtained by two advanced discretization frameworks. Raw scan results are processed by a level-set-based segmentation technique to produce smooth geometries prone to finite element discretizations. A recently developed technique is outlined for conforming mesh generation for complex porous geometries described implicitly by functions. This allows generating high-quality tetrahedral meshes with selective refinement. Next to this, a technique that uses a kinematic enrichment by incompatible modes to represent the heterogeneous geometry is explained. Both techniques use the same implicit geometry as main input for the simulations. Mechanical simulations are conducted on a subset of a scanned sample of a sandstone under triaxial loading conditions for isotropic compressive loading and for loading conditions involving a stress deviator. The results are compared and discussed based on local stress distributions and on a Mohr–Coulomb criterion with tensile cut-off. The results show that both discretization strategies yield complementary tools and allow envisioning automated simulations based on raw CT scan data for porous rocks exhibiting complex pore space morphologies.

Keywords

Automated meshing CT scan Embedded discontinuities Finite elements Image-based modelling Porous rocks Rock mechanics 

Notes

Acknowledgements

The first author acknowledges the support of FRIA under Grant No. 29340757.

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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.BATir, Building, Architecture & Town PlanningUniversité Libre de Bruxelles (ULB)BrusselsBelgium
  2. 2.Laboratoire de mécanique, multiéchelle, multiphysique, CNRS, Centrale LilleUniversité de LilleLilleFrance

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