Speaker: Ayoub Belhachmi

Date: Thursday 13th of November 2025, 1:15pm

Abstract:

Generating a valid mesh from geological interfaces is a difficult task due to the complexity of the geometrical configurations encountered in geosciences. Furthermore, uncertainties regarding the locations or even the existence of some geological discontinuities call for robust local mesh updating techniques. These methods allow for the local update of the model, instead of remeshing the entire model.
 
This seminar will explore techniques for local updating of tetrahedral meshes, with a particular focus on the insertion of finite surfaces such as faults in existing multi-material meshes. I will present recent progress in fault insertion using the open-source remeshing library MMG. In this approach, the finite surface to be inserted is defined as the intersection of two level set functions: one describing the surface itself, and another describing its boundary. The two level set functions can be obtained via interpolation, subject to a smoothness criteria. In the second part of the seminar, I will introduce an anisotropic smoothing energy for geological data interpolation. This high-order smoothing energy is discretized using linear finite elements via a mixed finite element formulation.