Browsing NORCE vitenarkiv by Author "Nordbotten, Jan Martin"
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The 11th Society of Petroleum Engineers Comparative Solution Project: Problem Definition
Nordbotten, Jan Martin; Fernø, Martin; Flemisch, Bernd; Kovscek, Anthony R.; Lie, Knut-Andreas (Journal article; Peer reviewed, 2024)This article contains the description of, and call for participation in, the 11th Society of Petroleum Engineers Comparative Solution Project (the 11th SPE CSP, https://spe.org/csp). It is motivated by the simulation ... -
A new framework for assessing subject-specific whole brain circulation and perfusion using MRI-based measurements and a multi-scale continuous flow model
Hodneland, Erlend; Hanson, Erik Andreas; Sævareid, Ove; Nævdal, Geir; Lundervold, Arvid; Solteszova, Veronika; Zanna, Antonella; Deistung, Andreas; Reichenbach, Jürgen; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2019)A large variety of severe medical conditions involve alterations in microvascular circulation. Hence, measurements or simulation of circulation and perfusion has considerable clinical value and can be used for diagnostics, ... -
A combined finite element–finite volume framework for phase-field fracture
Sargado, Juan Michael Uy Villanueva; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2021)Numerical simulations of brittle fracture using phase-field approaches often employ a discrete approximation framework that applies the same order of interpolation for the displacement and phase-field variables. In particular, ... -
Experimentally assessing the uncertainty of forecasts of geological carbon storage
Nordbotten, Jan Martin; Fernø, Martin; Flemisch, Bernd; Juanes, Ruben; Jørgensen, Magne (Journal article; Peer reviewed, 2024)Geological storage of carbon dioxide is a cornerstone in almost every realistic emissions reduction scenario outlined by the Intergovernmental Panel on Climate Change. Our ability to accurately forecast storage efficacy ... -
Finite volume discretization for poroelastic media with fractures modeled by contact mechanics
Berge, Runar Lie; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin; Wohlmuth, Barbara (Peer reviewed; Journal article, 2019)A fractured poroelastic body is considered where the opening of the fractures is governed by a nonpenetration law, whereas slip is described by a Coulomb‐type friction law. This physical model results in a nonlinear ... -
A Finite-Volume-Based Module for Unsaturated Poroelasticity
Varela, Jhabriel; Gasda, Sarah Eileen; Keilegavlen, Eirik; Nordbotten, Jan Martin (Chapter, 2021)In this chapter, we present fv-unsat, a multipoint finite-volume–based solver for unsaturated flow in deformable and nondeformable porous media. The latter is described using the mixed form of Richards’ equation, whereas ... -
Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments
Hanson, Erik Andreas; Hodneland, Erlend; Lorentzen, Rolf Johan; Nævdal, Geir; Nordbotten, Jan Martin; Sævareid, Ove; Zanna, Antonella (Peer reviewed; Journal article, 2019)Starting with the discovery of X-rays by Röntgen in 1895, the progress in medical imaging has been extraordinary and immensely beneficial to diagnosis and therapy. Parallel to the increase of imaging accuracy, there is the ... -
Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport
Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian (Peer reviewed; Journal article, 2020)This paper concerns monolithic and splitting-based iterative procedures for the coupled nonlinear thermo-poroelasticity model problem. The thermo-poroelastic model problem we consider is formulated as a three-field system ... -
Numerical Simulations of Viscous Fingering in Fractured Porous Media
Berge, Runar Lie; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2024)The effect of heterogeneity induced by highly permeable fracture networks on viscous miscible fingering in porous media is examined using high-resolution numerical simulations. We consider the planar injection of a less ... -
The dissolution of a miscible drop rising or falling in another liquid at low Reynolds number
Nordbotten, Jan Martin; Mossige, Joachim (Peer reviewed; Journal article, 2023)“A basic and basically unsolved problem in fluid dynamics is to determine the evolution of rising bubbles and falling drops of one miscible liquid in another” [D. D. Joseph and Y. Y. Renardy, Fundamentals of Two-Fluid ... -
Well-posedness and discretization for a class of models for mixed-dimensional problems with high-dimensional gap
Hodneland, Erlend; Hu, Xiaozhe; Nordbotten, Jan Martin (Journal article; Peer reviewed, 2021)In this work, we show the underlying mathematical structure of mixed-dimensional models arising from the composition of graphs and continuous domains. Such models are becoming popular in applications, in particular, to ...