222 citations · 937 across the 65 of their papers we have counts for
76 papers
Elastic wave propagation in fractured media with spring-type and frictional contact deformation laws
Ingrid Kristine Jacobsen, Jan Martin Nordbotten, Ivar Stefansson +2
Elastic wave propagation in fractured media is relevant to applications such as analysis of seismic waves and non-destructive characterization of materials. Understanding attenuati…
Approximation properties of double complexes
Daniel Førland Holmen, Jan Martin Nordbotten, Jon Eivind Vatne
We consider the simplicial de Rham complex and the Čech-de Rham complex, two bigraded Hilbert complexes whose Hodge-Laplace problems govern spatially coupled problems in mixed dime…
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…
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…
Performance of an open-source image-based history matching framework for CO storage
David Landa-Marbán, Tor Harald Sandve, Jakub Wiktor Both +2
We present a history matching (HM) workflow applied to the International FluidFlower benchmark study dataset, which features high-resolution images of CO storage in a meter-sca…
Multipoint stress mixed finite element methods for the linear Cosserat equations
Wietse M. Boon, Alessio Fumagalli, Jan M. Nordbotten +1
We propose mixed finite element methods for Cosserat materials that use suitable quadrature rules to eliminate the Cauchy and coupled stress variables locally. The reduced system c…
Trends in porous media laboratory imaging and open science practices
Na Liu, Jakub Wiktor Both, Geir Ersland +2
Understanding processes in porous media is fundamental to a broad spectrum of environmental, energy, and geoscience applications. These processes include multiphase fluid transport…
Benchmarking CO Storage Simulations: Results from the 11th Society of Petroleum Engineers Comparative Solution Project
Jan M. Nordbotten, Martin A. Fernø, Bernd Flemisch +40
The 11th Society of Petroleum Engineers Comparative Solution Project (shortened SPE11 herein) benchmarked simulation tools for geological carbon dioxide (CO) storage. A total o…
A Finite Volume Method for Elastic Waves in Heterogeneous, Anisotropic and Fractured Media
Ingrid Kristine Jacobsen, Inga Berre, Jan Martin Nordbotten +1
Numerical modeling of elastic wave propagation in the subsurface requires applicability to heterogeneous, anisotropic and discontinuous media, as well as support of free surface bo…
Mixed finite element and TPSA finite volume methods for linearized elasticity and Cosserat materials
Jan Martin Nordbotten, Wietse M. Boon, Omar Duran +1
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.…
Network Inpainting via Optimal Transport
Enrico Facca, Jan Martin Nordbotten, Erik Andreas Hanson
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 wi…
Two-point stress approximation: A simple and robust finite volume method for linearized (poro-)mechanics and Stokes flow
Jan Martin Nordbotten, Eirik Keilegavlen
In this paper, we construct a simple and robust two-point finite volume discretization applicable to isotropic linearized elasticity, valid in also in the incompressible Stokes' li…
Mixed finite element methods for linear Cosserat equations
Wietse Marijn Boon, Omar Duran, Jan Martin Nordbotten
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 Laplac…
An abstract approximation tool for mixed-dimensional and equidimensional modeling
Daniel Førland Holmen, Jan Martin Nordbotten, Jon Eivind Vatne
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 t…
High-fidelity experimental model verification for flow in fractured porous media
Jakub Wiktor Both, Bergit Brattekås, Martin Fernø +2
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 fra…
The FluidFlower International Benchmark Study: Process, Modeling Results, and Comparison to Experimental Data
Bernd Flemisch, Jan M. Nordbotten, Martin Fernø +30
Successful deployment of geological carbon storage (GCS) requires an extensive use of reservoir simulators for screening, ranking and optimization of storage sites. However, the ti…
Scaling up FluidFlower results for carbon dioxide storage in geological media
Anthony R. Kovscek, Jan Martin Nordbotten, Martin A. Ferno
The partial differential equations describing immiscible, but soluble, carbon dioxide (CO2) displacement of brine are developed including local mass-transfer effects. Scaling relat…
Engineering meter-scale porous media flow experiments for quantitative studies of geological carbon sequestration
Kristoffer Eikehaug, Malin Haugen, Olav Folkvord +6
This technical note describes the FluidFlower concept, a new laboratory infrastructure for geological carbon storage research. The highly controlled and adjustable system produces…
Direct comparison of numerical simulations and experiments of CO injection and migration in geologic media: Value of local data and predictability
Lluís Saló-Salgado, Malin Haugen, Kristoffer Eikehaug +3
The accuracy and robustness of numerical models of geologic CO sequestration are almost never quantified with respect to direct observations that provide a ground truth. Here,…
Physical variability in meter-scale laboratory CO injections in faulted geometries
Malin Haugen, Lluis Salo-Salgado, Kristoffer Eikehaug +7
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 vi…
Room-scale CO2 injections in a physical reservoir model with faults
Martin A. Ferno, Malin Haugen, Kristoffer Eikehaug +7
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, includ…
DarSIA: An open-source Python toolbox for two-scale image processing of dynamics in porous media
Jan Martin Nordbotten, Benyamine Benali, Jakub Wiktor Both +3
Understanding porous media flow is inherently a multi-scale challenge, where at the core lies the aggregation of pore-level processes to a continuum, or Darcy-scale, description. T…
PoroTwin: A digital twin for a FluidFlower rig
Eirik Keilegavlen, Eivind Fonn, Kjetil Johannessen +6
We present a framework for integrated experiments and simulations of tracer transport in heterogeneous porous media using digital twin technology. The physical asset in our setup i…
The dissolution of a miscible drop rising or falling in another liquid at low Reynolds number
Jan Martin Nordbotten, Endre Joachim Lerheim Mossige
'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' [1]. Here, we address…