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Numerical analysis of the Biot equations coupled to frictional contact mechanics
Marius Nevland, Kundan Kumar, Inga Berre +2
We consider a mathematical model of a poro-visco-elastic medium subject to frictional contact with a rigid obstacle, and study its numerical approximation. This model couples the B…
Splitting-strategies for arbitrary-order fully mixed finite element discretizations of the Biot equations
Fleurianne Bertrand, Jakub Wiktor Both, Tugay DaÄlı +1
We study the fully-mixed formulation of the Biot equations which is characterized by a symmetric coupling between flow and deformation while each subphysics has internally a saddle…
Efficient design of continuation methods for hyperbolic transport problems in porous media
Peter von Schultzendorff, Jakub Wiktor Both, Jan Martin Nordbotten +1
Full-physics modeling of multiphase flow in porous media, e.g., for carbon storage and groundwater management, requires the nonlinear coupling of various physical processes. Indust…
A Machine-Learned Near-Well Model in OPM Flow
Peter von Schultzendorff, Tor Harald Sandve, Birane Kane +3
Recent advances in reservoir simulation increasingly utilize hybrid approaches that couple physics-based simulators with machine-learning (ML) components. ML components offer high…