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Fracture flow

The Porous Media Group educates students and researchers in the fundamental challenges associated with solving the equations that describe flow and transport in and deformation of porous media. These include the development of rigorous mathematical foundations for the empirical physical laws of fluid motion in porous media, numerical methods for solving the partial differential equations that arise, and characterisation of reservoir properties via inverse modelling based on the observed production history of a reservoir. Associated applications include e.g. geothermal energy, subsurface energy and CO2 storage, flow in biological tissues, and hydrocarbon production.

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SPE11 - Comparative solution project visualization

Check out the 11th Society of Petroleum Engineers (SPE) Comparative Solution Project.

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Contact mechanics problem

Weak solvability of elliptic variational inequalities coupled with a nonlinear differential equation

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...

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PMG at CMWR

PMG at CMWR2024

PMG is participating at the conference on Computational Methods in Water Resources 2024 (CMWR).

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Jan Martin Nordbotten and Kent-Andre Mardal awarded CAS project for 2025/2026

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.

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Fracture propagation and pressure evolution in a 2D porous media

Modelling of Mixed-Mechanism Stimulation for the Enhancement of Geothermal Reservoirs

This paper presents a modelling approach to simulate fracture deformation, propagation, and coalescence in porous media under anisotropic stress and fluid injection.