Applied Mathematics Engineer Intern - Quantifying Uncertainty in Subsurface Geology (5-6 months)
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Our team, Subsurface Structural Modeling, has for mission the elaboration of industrial numerical code for building structural models of the underground. Those models are essential to understand the history of the underground and its structure, enabling to search for subsurface ressources (ore, geothermal, oil and gas, water).
The objective of this internship is to build a method allowing to take into account the interpretation data uncertainty, in particular for the faults, in order to estimate the variability it induces on the geological structures.
First, the candidate will have to do a research of bibliography in order to have a panoramic view of the current techniques allowing to quantify uncertainty of interpretation data.
Second the candidate will implement a new technique based on finite element approximation allowing to relax the geometrical constraints due to fault discontinuities, by introducing them as a dual field in the formulation. This allows to have a more flexible representation of the structure and to decouple the discontinuities from the space discretization.
Last, but not least, the candidate will use some recent results of stochastic finite elements (polynomial chaos) in order to study the variability of the structural models linked to the fault uncertainty.
Essential Responsibilities and Duties:
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