21 citations · 38 across the 20 of their papers we have counts for
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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…
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…
Partial Differential Equations in the Age of Machine Learning: A Critical Synthesis of Classical, Machine Learning, and Hybrid Methods
Mohammad Nooraiepour, Jakub Wiktor Both, Teeratorn Kadeethum +1
Partial differential equations (PDEs) govern physical phenomena across the full range of scientific scales, yet their computational solution remains one of the defining challenges…
Consistent initialization of mixed-dimensional multiphysics models for fractured reservoirs under geomechanical constraints and field measurements
Jakub Wiktor Both, Inga Berre
Modeling coupled processes in fractured porous media -- flow, deformation, fracture mechanics, and thermal/chemical effects -- often relies on mixed dimensional multiphysics formul…
Splitting-strategies for arbitrary-order fully mixed finite element discretizations of the Biot equations
Fleurianne Bertrand, Jakub Wiktor Both, Tugay Dağlı
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…
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…