Zobrazeno 1 - 10
of 332
pro vyhledávání: '"Nordbotten, Jan Martin"'
Mixed finite element and TPSA finite volume methods for linearized elasticity and Cosserat materials
Cosserat theory of elasticity is a generalization of classical elasticity that allows for asymmetry in the stress tensor by taking into account micropolar rotations in the medium. The equations involve a rotation field and associated "couple stress"
Externí odkaz:
http://arxiv.org/abs/2409.13273
In this work, we present a novel tool for reconstructing networks from corrupted images. The reconstructed network is the result of a minimization problem that has a misfit term with respect to the observed data, and a physics-based regularizing term
Externí odkaz:
http://arxiv.org/abs/2405.13520
We provide a unified continuum formulation of linearized mechanics, Stokes' flow and poromechanics in terms of a conservation structure. Starting from this formulation, we construct corresponding simple and robust finite volume discretizations for th
Externí odkaz:
http://arxiv.org/abs/2405.10390
We consider the equilibrium equations for a linearized Cosserat material and provide two perspectives concerning well-posedness. First, the system can be viewed as the Hodge Laplace problem on a differential complex. On the other hand, we show how th
Externí odkaz:
http://arxiv.org/abs/2403.15136
Many coupled problems in engineering and science can be described by elliptic partial differential equations on adjacent domains, where the coupling can be considered either as a thin equidimensional overlap between the model domains, or as a lower-d
Externí odkaz:
http://arxiv.org/abs/2403.04569
Autor:
Both, Jakub Wiktor, Brattekås, Bergit, Fernø, Martin, Keilegavlen, Eirik, Nordbotten, Jan Martin
Mixed-dimensional mathematical models for flow in fractured media have been prevalent in the modeling community for almost two decades, utilizing the explicit representation of fractures by lower-dimensional manifolds embedded in the surrounding poro
Externí odkaz:
http://arxiv.org/abs/2312.14842
The partial differential equations describing immiscible, but soluble, carbon dioxide (CO2) displacement of brine are developed including local mass-transfer effects. Scaling relationships for characteristic time among laboratory and representative s
Externí odkaz:
http://arxiv.org/abs/2301.09853
Autor:
Eikehaug, Kristoffer, Haugen, Malin, Folkvord, Olav, Benali, Benyamine, Larsen, Emil Bang, Tinkova, Alina, Rotevatn, Atle, Nordbotten, Jan Martin, Ferno, Martin A.
This technical note describes the FluidFlower concept, a new laboratory infrastructure for geological carbon storage research. The highly controlled and adjustable system produces a strikingly visual physical ground truth of studied processes for mod
Externí odkaz:
http://arxiv.org/abs/2301.09304
Autor:
Haugen, Malin, Salo-Salgado, Lluis, Eikehaug, Kristoffer, Benali, Benyamine, Both, Jakub W., Storvik, Erlend, Folkvord, Olav, Juanes, Ruben, Nordbotten, Jan Martin, Ferno, Martin A.
Carbon, capture, and storage (CCS) is an important bridging technology to combat climate change in the transition towards net-zero. The FluidFlower concept has been developed to visualize and study CO$_2$ flow and storage mechanisms in sedimentary sy
Externí odkaz:
http://arxiv.org/abs/2301.07347
Autor:
Ferno, Martin A., Haugen, Malin, Eikehaug, Kristoffer, Folkvord, Olav, Benali, Benyamine, Both, Jakub W., Storvik, Erlend, Nixon, Casey W., Gawthrope, Robert L., Nordbotten, Jan Martin
We perform a series of repeated CO2 injections in a room-scale physical model of a faulted geological cross-section. Relevant parameters for subsurface carbon sequestration, including multiphase flows, capillary CO2 trapping, dissolution, and convect
Externí odkaz:
http://arxiv.org/abs/2301.06397