News archive for Porous Media Group
In this paper, we prove the existence and uniqueness of elliptic variational inequalities coupled with a nonlinear ODE. Considering an elliptic equation in the domain allows us to include a fully nonlinear ODE on the contact surface which gives us new applications of frictional adhesion contact problems.
Check out the 11th Society of Petroleum Engineers (SPE) Comparative Solution Project.
PMG is participating at the conference on Computational Methods in Water Resources 2024 (CMWR).
The Norwegian Academy of Science and Letters has awarded Jan Martin Nordbotten and Kent-Andre Mardal the Centre for Advanced Study (CAS) project for the academic year 2025/2026. The project will focus on Mathematical challenges in brain mechanics.
This paper presents a modelling approach to simulate fracture deformation, propagation, and coalescence in porous media under anisotropic stress and fluid injection.
This paper describes a machine learning-based approach to tuning the linear solvers and their parameters during the simulation.
Our new Ph.D. student Isak Hammer went to visit TU Delft for the European geothermal PhD days 2024.
Jan Martin Nordbotten will give an invited talk at InterPore 2024 about validating computational models for carbon storage. The main theme of InterPore 2024 will be porous media and biology.
The Research Council of Norway recently announced a significant investment in a new research center on carbon capture, transport, and storage (CCS) in Norway, of which the porous media group is a proud partner. gigaCCS is a Centre for Environment-Friendly Energy Research (FME) that will develop Norway's CCS competence and contribute to the global implementation of CCS on a gigatonne scale.
This paper study the impact of fractures on the unstable displacement of viscous fingers. Particular focus is given the transition from a regime where the flow is dominated by the viscous instabilities, to a regime where the heterogeneity induced by the fractures define the flow paths.
GFZ is Germany's national research center for solid Earth sciences. Its mission is to improve our understanding of the solid earth's dynamics and create solutions for society's major problems.
In this paper, we develop a general framework for an evolutionary variational-hemivariational inequality coupled with a differential equation. The framework is adapted to a frictional contact problem with applications in earth sciences. In here we present an approximation of the so-called rate-and-state friction law and prove that the coupled system is well-posed.
The conference was held in Bergen from the 19th to the 22nd of June in 2023.
Isak Hammer is a new Ph.D. student at the Department of Mathematics and his project is part of the Center for Modeling of Coupled Subsurface Dynamics. We met him to find out more about his background and the project.
The paper argues the importance of two central features of simulation tools for research into mathematical and numerical models. The requirements are rigour, ensuring that the governing equations are accurately solved, and flexibility, allowing experimentation with different physical models and solution techniques.
The recently published paper presents a general methodology to compute fluid phase equilibria, with persistent unknowns and general state definitions. It represents a major step towards consistent compositional flow simulation under local equilibrium assumptions.
The deadline for submitting participation agreements to the 11th Society of Petroleum Engineers Comparative Solution Project (the “SPE11”) has just passed, and as of writing 44 research groups from around the world have joined!
On the 8th and 9th of November, VISTA CSD invited collaborators, industry partners and the scientific advisory board for its midterm meeting.
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