- jan.nordbotten@uib.no
- Phone number
- +47 90965990
- Visitor address
-
Allégaten 41
5007 Bergen - Postal address
-
P.O. Box 7803NO-5020 BergenNorway
Research groups
- Porous Media Group
- CSSR: Center for Sustainable Subsurface Resources
- gigaCCS: Research Centre for Carbon Capture and Storage
Short info
Nordbotten’s research interests span the whole spectrum of applied mathematics, including both theoretical and numerical methods. As part of the porous media research group, his research is applied to topics as diverse as ecohydrology, evolution, medical imaging, porous media and renewable energy.
Research
Professor Nordbotten is a mathematician with a strong interest for interdisciplinary collaborations. As early as during his PhD, he worked simultaneously on numerical analysis, while collaborating with environmental engineers on issues related to CO2 storage. Since then, he has established interdisciplinary collaborations in biology (theoretical evolution), ecology (water-plant dynamics), geosciences (multiphase subsurface flows, deformation), biomedicine (image processing, fluid dynamics) and computer science (image rendering). Nordbotten has co-authored papers with about 200 researchers from all continents, and was the primary author on the first text-book on modelling and simulation of CO2 storage. He has received several prizes, most recently the 2025 Interpore Medal for Porous Media Research.
Key results from Nordbotten’s research include: The first analysis of monotonicity of finite volume methods beyond M-matrix arguments, Development of fast screening tools for CO2 storage, Establishing the first algebraic relationship between multiscale finite volume methods and domain decomposition preconditioners, Development and analysis of finite volume methods for poromechanics, Analysis and development of robust solvers for coupled non-linear problems, Development and analysis of models and discretizations for mixed-dimensional partial differential equations, Verification and validation of mathematical modeling and numerical simulation methods for CO2 storage.
Outreach
Please feel free to check out some of my popular science contributions:
- Popular science demonstration of digital twin technology (2024),
- A black-board scale demonstration of CO2 storage, 2019 and 2023.
Publications
2025
- Peter Moritz von Schultzendorff; Jakub Wiktor Both; Jan Martin Nordbotten et al. (2025). An adaptive homotopy continuation solver for incompressible two-phase flow in porous media. (external link)
- Olav Parelius Folkvord; Jakub Wiktor Both; Kristoffer Eikehaug et al. (2025). Laboratory Evaluation of Physical Variability of Multiphase Flow During CO2 Sequestration | Earthdoc. (external link)
- Jan Martin Nordbotten (2025). Understanding data and simulations for flows in porous media. (external link)
- Jan Martin Nordbotten; Eirik Keilegavlen (2025). Two-point stress approximation: A simple and robust finite volume method for linearized (poro-)elasticity and Stokes flow. (external link)
- Daniel Førland Holmen; Jan Martin Nordbotten; Jon Eivind Vatne (2025). An abstract tool for comparing mixed- and equidimensional modeling. (external link)
- Jan Martin Nordbotten (2025). Validering og verifisering av beregningsmodeller for kompleks fysikk. (external link)
- Wietse Boon; Daniel Førland Holmen; Jan Martin Nordbotten et al. (2025). The Hodge-Laplacian on the Čech-de Rham complex governs coupled problems. (external link)
- Peter Moritz von Schultzendorff; Martin Vohralík; Jakub Wiktor Both et al. (2025). Adaptive homotopy continuation for machine-learned relative permeability models in porous media flow. (external link)
- Peter Moritz von Schultzendorff; Jakub Wiktor Both; Jan Martin Nordbotten et al. (2025). An adaptive homotopy continuation solver for incompressible two-phase flow in porous media. (external link)
- Inga Berre; Paola F. Antonietti; Rainer Helmig et al. (2025). Regional-Scale Subsurface Modeling. (external link)
- Maryam Alghannam; Jan Martin Nordbotten; Ruben Juanes (2025). Stick-slip from heterogeneous Coulomb friction. (external link)
- Jan M. Nordbotten; Martin Fernø; Bernd Flemisch et al. (2025). Benchmarking CO₂ storage simulations: Results from the 11th Society of Petroleum Engineers Comparative Solution Project. (external link)
- Ingrid Kristine Jacobsen; Inga Berre; Jan Martin Nordbotten et al. (2025). A Finite Volume Method for Elastic Waves in Heterogeneous, Anisotropic and Fractured Media. (external link)
- Peter Moritz von Schultzendorff; Jakub Wiktor Both; Jan Martin Nordbotten et al. (2025). An adaptive homotopy continuation solver for incompressible two-phase flow in porous media. (external link)
- Bernd Flemisch; Jan Martin Nordbotten; Martin Fernø et al. (2025). The 11th Society of Petroleum Engineers Comparative Solution Project: Summary Report. (external link)
- Jan Martin Nordbotten; Bernd Flemisch (2025). Results from the 11th SPE Comparative Solution Project. (external link)
- Jan Martin Nordbotten (2025). Reproducibility in reality and computation. (external link)
- Jan Martin Nordbotten (2025). The 11th Society of Petroleum Engineers Comparative Solution Project Final Report. (external link)
- Peter Moritz von Schultzendorff; Jan Martin Nordbotten; Tor Harald Sandve et al. (2025). An adaptive homotopy continuation solver for incompressible two-phase flow in porous media. (external link)
- W. M. Boon; Omar Yesid Duran Triana; Jan Martin Nordbotten (2025). MIXED FINITE ELEMENT METHODS FOR LINEAR COSSERAT EQUATIONS. (external link)
- Peter Moritz von Schultzendorff; Jakub Wiktor Both; Jan Martin Nordbotten et al. (2025). An adaptive homotopy continuation solver for incompressible two-phase flow in porous media. (external link)
- Jan Martin Nordbotten (2025). CO2 storage: Experimental and computational validation. (external link)
- Jan Martin Nordbotten (2025). Two-point stress approximations for simulating mechanical response in porous media. (external link)
2014
- Maria Elenius; Jan Martin Nordbotten; Henrik Kalisch (2014). Convective mixing influenced by the capillary transition zone. (external link)
- Sergey Alyaev; Eirik Keilegavlen; Jan Martin Nordbotten (2014). Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media. (external link)
- Jan Martin Nordbotten (2014). Cell-centered finite volume discretizations for deformable porous media. (external link)
- Eirik Keilegavlen; Jan Martin Nordbotten (2014). Conservative inexact solvers for porous media flow. (external link)
- Stanley Babatunde; Jan Martin Nordbotten; Adrian Florin Radu (2014). Modeling of oil reservoirs with focus on microbial induced effects. (external link)
- Tore Ingvald Bjørnarå; Simon A. Mathias; Jan Martin Nordbotten et al. (2014). Capturing the coupled hydro-mechanical processes occurring during CO2 injection – example from In Salah. (external link)
- Jan Martin Nordbotten (2014). Finite volume hydromechanical simulation in porous media. (external link)
- Tore Ingvald Bjørnarå; Simon A. Mathias; Jan Martin Nordbotten et al. (2014). Fast Evaluation of Fluid-rock Coupling in CO2 Storage. (external link)
- Darko Mitrovic; Jan Martin Nordbotten; Henrik Kalisch (2014). Dynamics of the interface between immiscible liquids of different densities with low Froude number. (external link)
- Tor Harald Sandve; Eirik Keilegavlen; Jan Martin Nordbotten (2014). Physics-based preconditioners for flow in fractured porous media. (external link)
- Mary Kang; Jan Martin Nordbotten; Florian Doster et al. (2014). Analytical solutions for two-phase subsurface flow to a leaky fault considering vertical flow effects and fault properties. (external link)
2004
- Stefan Bachu; Jan Martin Nordbotten; Michael A. Celia (2004). Evaluation of the spread of acid gas plumes injected in deep saline aquifers in western Canada as an analogue to CO2 injection in continental sedimentary basins. (external link)
- Jan Martin Nordbotten; Michael A. Celia; Stefan Bachu (2004). Analytical solutions for leakage rates through abandoned wells. (external link)
- Jan Martin Nordbotten; Michael A. Celia; Stefan Bachu et al. (2004). Similarity solutions for CO2 injection in aquifers. (external link)
- Geir Terje Eigestad; Ivar Aavatsmark; Runhild Aae Klausen et al. (2004). Recent Advances for MPFA methods. (external link)
- Geir Terje Eigestad; Torbjørn Aadland; Ivar Aavatsmark et al. (2004). Recent advances for MPFA methods. (external link)
- Michael A. Celia; Stefan Bachu; Jan Martin Nordbotten et al. (2004). Quantitative estimation of CO2 leakage from geological storage: Analytical models, numerical models, and data needs. (external link)
- Jan Martin Nordbotten (2004). Sequestration of Carbon in Saline Aquifers Mathematical and Numerical Analysis. (external link)
2015
- Adrian Florin Radu; Jan Martin Nordbotten; Iuliu Sorin Pop et al. (2015). A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. (external link)
- Florian Doster; Jan Martin Nordbotten (2015). Full pressure coupling for geomechanical multiphase multicomponent flow simulation. (external link)
- Jan Ole Skogestad; Eirik Keilegavlen; Jan Martin Nordbotten (2015). Two-scale preconditioning for two-phase nonlinear flows in porous media. (external link)
- Juan Michael Sargado; Eirik Keilegavlen; Inga Berre et al. (2015). Fracture propagation in Enhanced Geothermal Systems. (external link)
- Juan Michael Sargado; Eirik Keilegavlen; Inga Berre et al. (2015). Phase-field modelling of fluid pressure-induced fractures. (external link)
- Juan Michael Sargado; Eirik Keilegavlen; Inga Berre et al. (2015). Coupling Issues Arising from Combining Fracture Phase-Field Models with Biot Poroelasticity. (external link)
- Henrik Kalisch; Darko Mitrovic; Jan Martin Nordbotten (2015). Non-standard shocks in the Buckley-Leverett equation. (external link)
- Benjamin E. Schaffer; Jan Martin Nordbotten; Ignacio Rodriguez-Iturbe (2015). Plant biomass and soil moisture dynamics: Analytical results. (external link)
- Jan Martin Nordbotten (2015). Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity. (external link)
- Jan Ole Skogestad; Jan Martin Nordbotten (2015). Solution strategies for nonlinear conservation laws. (external link)
- Eren Ucar; Inga Berre; Eirik Keilegavlen et al. (2015). Modeling of Hydroshearing in Geothermal Reservoirs. (external link)
- MA Celia; S Bachu; Jan Martin Nordbotten et al. (2015). Status of CO<sub>2</sub> storage in deep saline aquifers with emphasis on modeling approaches and practical simulations. (external link)
- Anna Maria Nissen; Per Pettersson; Eirik Keilegavlen et al. (2015). Incorporating Geological Uncertainty in Error Control for Linear Solvers. (external link)
- Eirik Keilegavlen; Jan Martin Nordbotten (2015). Inexact linear solvers for control volume discretizations in porous media. (external link)
2007
- Inga Berre; Jan Martin Nordbotten (2007). Geotermisk energi - glemt i energidebatten?. (external link)
- Ivar Aavatsmark; Geir Terje Eigestad; Runhild Aae Klausen et al. (2007). Convergence and monotonicity properties of MPFA methods. (external link)
- Jan Martin Nordbotten; Ivar Aavatsmark; Geir Terje Eigestad (2007). Monotonicity of control volume methods. (external link)
- Ivar Aavatsmark; Geir Terje Eigestad; Brad T. Mallison et al. (2007). Multipoint flux discretization techniques for general media and scale issues. (external link)
- MA Celia; Jan Martin Nordbotten; SE Gasda et al. (2007). Geological storage as a carbon mitigation option. (external link)
- Jan Martin Nordbotten; Ignacio Rodriguez-Iturbe; Michael A. Celia (2007). Stochastic coupling of rainfall and biomass dynamics. (external link)
- Jan Martin Nordbotten; Michael A. Celia; Helge Ketil Dahle et al. (2007). Interpretation of macroscale variables in Darcy's law. (external link)
- Johan Lie; Jan Martin Nordbotten (2007). Inverse scale spaces for nonlinear regularization. (external link)
- Ivar Aavatsmark; Geir Terje Eigestad; Bjørn-Ove Heimsund et al. (2007). A new finite volume approach to efficient discretization on challenging grids. (external link)
2018
- Ingeborg Gåseby Gjerde; Kundan Kumar; Jan Martin Nordbotten (2018). The Mathematical Structure of Coupled 1D-3D Models. (external link)
- Jakub Both; Kundan Kumar; Jan Martin Nordbotten et al. (2018). Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. (external link)
- Ana Budisa; Eirik Keilegavlen; Jan Martin Nordbotten et al. (2018). Efficient Linear Solvers for Mixed-dimensional Flow Problems in Fractured Porous Media. (external link)
- Runar Lie Berge; Inga Berre; Eirik Keilegavlen et al. (2018). Viscous fingering in fractured porous media. (external link)
- Eirik Keilegavlen; Alessio Fumagalli; Ivar Stefansson et al. (2018). Unified modeling and discretization of flow in fractured porous media. (external link)
- Elyes Ahmed; Florin Adrian Radu; Jan Martin Nordbotten (2018). Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model. (external link)
- Michele Starnoni; Inga Berre; Eirik Keilegavlen et al. (2018). Mixed-dimensional poroelasticity for deformable fractured porous media. (external link)
- Erlend Hodneland; Eirik Keilegavlen; Erik Andreas Hanson et al. (2018). In vivo detection of chronic kidney disease using tissue deformation fields from dynamic MR imaging.. (external link)
- Jan Martin Nordbotten; Simon A. Levin; Eörs Szathmáry et al. (2018). Ecological and evolutionary dynamics of interconnectedness and modularity. (external link)
- Mats Kirkesæther Brun; Inga Berre; Jan Martin Nordbotten et al. (2018). Upscaling of the coupling of hydromechanical and thermal processes in a quasi-static poroelastic medium. (external link)
- Sergey Alyaev; Eirik Keilegavlen; Jan Martin Nordbotten (2018). A heterogeneous multiscale MPFA method for single-phase flows in porous media with inertial effects. (external link)
- Ana Budisa; Eirik Keilegavlen; Jan Martin Nordbotten et al. (2018). Domain Decomposition Preconditioner for Mixed-dimensional Flow Problems in Fractured Porous Media. (external link)
- Wietse Boon; Jan Martin Nordbotten; Ivan Yotov (2018). Robust discretization of flow in fractured porous media. (external link)
- Tore Ingvald Bjørnarå; Jan Martin Nordbotten; Joonsang Park (2018). Model development for efficient simulation of CO2 storage. (external link)
- Manuel Antonio Borregales Reveron; Florin Adrian Radu; Kundan Kumar et al. (2018). Robust iterative schemes for non-linear poromechanics. (external link)
- Jan Martin Nordbotten; Wietse Boon; Alessio Fumagalli et al. (2018). Unified approach to discretization of flow in fractured porous media. (external link)
- Eirik Keilegavlen; Jan Martin Nordbotten; Wietse Boon et al. (2018). A general framework for heterogeneous discretizations in mixed-dimensional single-phase flow. (external link)
- Mats Kirkesæther Brun; Florin Adrian Radu; Inga Berre et al. (2018). Upscaling of coupled geomechanics, flow, and heat in a poroelastic medium in the quasi-static situation.. (external link)
- Wietse Boon; Jan Martin Nordbotten; Inga Berre et al. (2018). Conforming Discretizations of Mixed-Dimensional Partial Differential Equations. (external link)
- Eren Ucar; Inga Berre; Eirik Keilegavlen et al. (2018). Numerical modeling of shear stimulation in naturally fractured geothermal reservoirs. (external link)
- Jan Martin Nordbotten (2018). Mixed-dimensional models for materials with thin layers. (external link)
- Eren Ucar; Eirik Keilegavlen; Inga Berre et al. (2018). A finite-volume discretization for deformation of fractured media. (external link)
- Ingeborg Gåseby Gjerde; Kundan Kumar; Jan Martin Nordbotten (2018). Well Modelling By Means Of Coupled 1D-3D Flow Models . (external link)
- Jhabriel Varela; Jan Martin Nordbotten; Sarah Gasda et al. (2018). Implementation of an MPFA/MPSA-FV Solver for the Unsaturated Flow in Deformable Porous Media. (external link)
- Jan Martin Nordbotten (2018). Mixed-dimensional models for materials with thin layers. (external link)
2019
- Runar Lie Berge; Inga Berre; Eirik Keilegavlen et al. (2019). Numerical Modeling of Fracture Reactivation in a Three-dimensional Domain Based on a Coulomb Friction Law. (external link)
- Erlend Hodneland; Erik Andreas Hanson; Ove Sævareid et al. (2019). A new framework for assessing subject-specific whole brain circulation and perfusion using MRI-based measurements and a multi-scale continuous flow model. (external link)
- Juan Michael Sargado; Eirik Keilegavlen; Inga Berre et al. (2019). Phase-field Modeling of Brittle Crack Propagation in Saturated Porous Media. (external link)
- Mats Kirkesæther Brun; Florin Adrian Radu; Inga Berre et al. (2019). Upscaling, analysis, and iterative numerical solution schemes for thermo-poroelasticity. (external link)
- Elyes Ahmed; Jan Martin Nordbotten; Florin Adrian Radu (2019). Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. (external link)
- Francesca Watson; Mary Kang; Florian Doster et al. (2019). Reduced complexity modelling of CO2 leakage through faults. (external link)
- Ingeborg Gåseby Gjerde; Kundan Kumar; Jan Martin Nordbotten et al. (2019). Splitting method for elliptic equations with line sources. (external link)
- Michele Starnoni; Inga Berre; Eirik Keilegavlen et al. (2019). Anisotropic Poroelastoplastic Constitutive Model of Fractured Rocks. (external link)
- Jan Martin Nordbotten (2019). Interview for TV ZDF/3SAT (tysk TV) om CO2-fangst.. (external link)
- Ulin Nuha Abdul Qohar; Antonella Zanna; Jan Martin Nordbotten et al. (2019). A multi-scale flow model for studying blood circulation in the vascular system. (external link)
- Michele Starnoni; Inga Berre; Eirik Keilegavlen et al. (2019). Consistent MPFA Discretization for Flow in the Presence of Gravity. (external link)
- Michele Starnoni; Inga Berre; Eirik Keilegavlen et al. (2019). Consistent discretization of flow for inhomogeneous gravitational fields. (external link)
- Michele Starnoni; Inga Berre; Jan Martin Nordbotten et al. (2019). Challenges in Modelling the Anisotropic Poroelastoplastic Behaviour of Fractured Rocks as Homogenized Media. (external link)
- Ingeborg Gåseby Gjerde; Kundan Kumar; Jan Martin Nordbotten (2019). Coupled 1D-3D flow models. (external link)
- Eirik Keilegavlen; Alessio Fumagalli; Ivar Stefansson et al. (2019). Mixed-dimensional discrete fracture matrix models with heterogeneous discretization and non-matching grids. (external link)
- Jakub Both; Kundan Kumar; Jan Martin Nordbotten et al. (2019). Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations. (external link)
- Ingeborg Gåseby Gjerde; Kundan Kumar; Jan Martin Nordbotten (2019). Analysis and approximation of coupled 1D-3D flow models. (external link)
- Ingeborg Gåseby Gjerde; Kundan Kumar; Jan Martin Nordbotten (2019). A singularity removal method for coupled 1D–3D flow models. (external link)
- Sarah Eileen Gasda; Ivar Aavatsmark; Bahman Bohloli et al. (2019). Protection of Caprock Integrity for Large-Scale CO2 Storage on the Norwegian Continental Shelf. (external link)
- Mats Kirkesæther Brun; Elyes Ahmed; Jan Martin Nordbotten et al. (2019). Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport. (external link)
- Elyes Ahmed; Jan Martin Nordbotten; Florin Adrian Radu (2019). Adaptive Fixed-stress Iterative Coupling Schemes based on a Posteriori Error Estimates for Biot's Consolidation Model. (external link)
- Ingeborg Gåseby Gjerde; Kundan Kumar; Jan Martin Nordbotten (2019). The mathematical structure of coupled 1D-3D flow models. (external link)
- Juan Michael Sargado; Eirik Keilegavlen; Inga Berre et al. (2019). Phase-field Modeling and Simulation of Brittle Fracture. (external link)
- Erlend Storvik; Jakub Both; Kundan Kumar et al. (2019). On the optimization of the fixed‐stress splitting for Biot's equations. (external link)
- Erik Andreas Hanson; Erlend Hodneland; Rolf Johan Lorentzen et al. (2019). Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments. (external link)
- Ulin Nuha Abdul Qohar; Antonella Zanna; Jan Martin Nordbotten et al. (2019). Fractal vascular structure optimization based on a multi-scale blood flow model. (external link)
- Florin Adrian Radu; Kundan Kumar; Inga Berre et al. (2019). Numerical Mathematics and Advanced Applications ENUMATH 2017. (external link)
- Runar Lie Berge; Inga Berre; Eirik Keilegavlen et al. (2019). Finite volume discretization for poroelastic media with fractures modeled by contact mechanics. (external link)
- Mats Kirkesæther Brun; Elyes Ahmed; Florin Adrian Radu et al. (2019). Monolithic and Splitting Based Solution Schemes for Nonlinear Quasi-static Thermo-poroelasticity. (external link)
- Florin Adrian Radu; Kundan Kumar; Inga Berre et al. (2019). Preface. (external link)
- Ulin Nuha Abdul Qohar; Antonella Zanna; Jan Martin Nordbotten et al. (2019). A study of blood flow regulation on collateral circulation using multiscale flow model. (external link)
- Elyes Ahmed; Jan Martin Nordbotten; Florin Adrian Radu (2019). Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. (external link)
- Elyes Ahmed; Jan Martin Nordbotten; Florin Adrian Radu (2019). Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. (external link)
2022
- Jan Martin Nordbotten (2022). A geometric approach to modeling, analysis, and numerics for fractured porous materials. (external link)
- Erlend Storvik; Florin Adrian Radu; Jan Martin Nordbotten et al. (2022). Development of robust and efficient solution strategies for coupled problems. (external link)
- Jan Martin Nordbotten; Joachim Mossige (2022). The dissolution of a miscible drop rising or falling in another liquid at low Reynolds number. (external link)
- Mats Kirkesæther Brun; Elyes Ahmed; Jan Martin Nordbotten et al. (2022). Modeling the Process of Speciation Using a Multiscale Framework Including A Posteriori Error Estimates. (external link)
- Vigdis Vandvik; Jan Martin Nordbotten; Gudveig Cecilie Gjerde Gjengedal (2022). Abels tårn. (external link)
- Jhabriel Varela; Elyes Ahmed; Eirik Keilegavlen et al. (2022). A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. (external link)
- Jan Martin Nordbotten (2022). Stable and Robust Finite Volume Discretizations : MPxA. (external link)
- Wietse Boon; Jan Martin Nordbotten (2022). Mixed-dimensional poromechanical models of fractured porous media. (external link)
2023
- Peter Moritz von Schultzendorff; Jakub Wiktor Both; Jan Martin Nordbotten et al. (2023). A machine learned near-well model in OPM. (external link)
- Erlend Storvik; Jakub Wiktor Both; Jan Martin Nordbotten et al. (2023). A robust solution strategy for the Cahn-Larché equations. (external link)
- Jakub Wiktor Both; Bergit Brattekås; Eirik Keilegavlen et al. (2023). Bridging the Gap Between Lab Experiments and Mixed-Dimensional Modeling for Flow in Fractured Media. (external link)
- Jan Martin Nordbotten; Kristoffer Eikehaug (2023). FluidFlower live CO2 injection. (external link)
- Eirik Keilegavlen; Eivind Fonn; Kjetil Andre Johannessen et al. (2023). PoroTwin: A Digital Twin for a FluidFlower Rig. (external link)
- Lluís Saló-Salgado; Malin Haugen; Kristoffer Eikehaug et al. (2023). Direct Comparison of Numerical Simulations and Experiments of CO <inf>2</inf> Injection and Migration in Geologic Media: Value of Local Data and Forecasting Capability. (external link)
- Peter Moritz von Schultzendorff; Jakub Wiktor Both; Jan Martin Nordbotten et al. (2023). A machine learned near-well model in OPM. (external link)
- Peter Moritz von Schultzendorff; Jakub Wiktor Both; Jan Martin Nordbotten et al. (2023). Homotopy continuation for a two-phase flow model with machine-learned relative permeabilities. (external link)
- Martin Fernø; Jan Martin Nordbotten; Kristoffer Eikehaug et al. (2023). FluidFlower live CO2 injection. (external link)
- Jan Martin Nordbotten; Joachim Mossige (2023). The dissolution of a miscible drop rising or falling in another liquid at low Reynolds number. (external link)
- Jan Martin Nordbotten; Benyamine Benali; Jakub Wiktor Both et al. (2023). DarSIA: An Open-Source Python Toolbox for Two-Scale Image Processing of Dynamics in Porous Media. (external link)
- Jakub Wiktor Both; Martin Fernø; Jan Martin Nordbotten (2023). FluidFlower concept for visualizing and studying CO2 storage: From lab experiments to quantitative imaging. (external link)
- Jakub Wiktor Both; Eirik Keilegavlen; Jan Martin Nordbotten et al. (2023). PoroTwin: A Digital Twin for a Meter-Scale Porous Medium. (external link)
- Eirik Keilegavlen; Eivind Fonn; Kjetil Johannessen et al. (2023). PoroTwin: A Digital Twin for a Meter-Scale Porous Media. (external link)
- Belen Garcia Pascual; Jan Martin Nordbotten; Iain Johnston (2023). Cellular and environmental dynamics influence species-specific extents of organelle gene retention. (external link)
- Bernd Flemisch; Jan Martin Nordbotten; Martin Fernø et al. (2023). The FluidFlower Validation Benchmark Study for the Storage of CO <inf>2</inf>. (external link)
- Xiaozhe Hu; Eirik Keilegavlen; Jan Martin Nordbotten (2023). Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems. (external link)
- Jan Martin Nordbotten; Kristoffer Eikehaug (2023). FluidFlower Live CO2 injection. (external link)
- Martin Fernø; Malin Haugen; Kristoffer Eikehaug et al. (2023). Room‑Scale CO2 Injections in a Physical Reservoir Model with Faults. (external link)
- David Landa-Marbán; Tor Harald Sandve; Jakub Wiktor Both et al. (2023). An Open-Source Image-Based History Matching Framework for the FluidFlower Data Set. (external link)
- Jakub Wiktor Both; Bergit Brattekås; Eirik Keilegavlen et al. (2023). Bridging the gap between lab experiments and mixed-dimensional modeling for flow and transport in fractured media. (external link)
2012
- Sergey Alyaev; Eirik Keilegavlen; Jan Martin Nordbotten (2012). MULTISCALE SIMULATION OF NON-DARCY FLOWS. (external link)
- Benjanin Court; Karl W. Bandilla; Michael A. Celia et al. (2012). Applicability of vertical-equilibrium and sharp-interface assumptions in CO2 sequestration modeling. (external link)
- Eirik Keilegavlen; Jan Martin Nordbotten; Annette Stephansen (2012). Tensor relative permeabilities: Origin, modeling and numerical discretization. (external link)
- Maria Elenius; Jan Martin Nordbotten; Henrik Kalisch (2012). Effects of a capillary transition zone on the stability of a diffusive boundary layer. (external link)
- Jan Martin Nordbotten; Eirik Keilegavlen; Andreas Sandvin (2012). Mass conservative domain decomposition for porous media flow. (external link)
- Trenton E. Franz; Kelly K. Caylor; Elizabeth G. King et al. (2012). An ecohydrological approach to predicting hillslope-scale vegetation patterns in dryland ecosystems. (external link)
- Juan P. Nogues; Benjanin Court; Mark Dobossy et al. (2012). A methodology to estimate maximum probable leakage along old wells in a geological sequestration operation. (external link)
- Tor Harald Sandve; Inga Berre; Jan Martin Nordbotten (2012). An efficient multi-point flux approximation method for Discrete Fracture–Matrix simulations. (external link)
- Leonid Vasilyev; Amir Raoof; Jan Martin Nordbotten (2012). Effect of mean network coordination number on dispersivity characteristics. (external link)
- Sarah Eileen Gasda; Jan Martin Nordbotten; Michael A. Celia (2012). Application of simplified models to CO2 migration and immobilization in large-scale geological systems. (external link)
- Benjanin Court; Karl W. Bandilla; Michael A. Celia et al. (2012). Initial evaluation of advantageous synergies associated with simultaneous brine production and CO2 geological sequestration. (external link)
- Inga Berre; Tor Harald Sandve; Antoine Tambue et al. (2012). A MPFA approach for simulation of fluid flow and heat transfer in fractured reservoirs. (external link)
- Jan Martin Nordbotten; Bernd Flemisch; Sarah Eileen Gasda et al. (2012). Uncertainties in practical simulation of CO2 storage. (external link)
- Inga Berre; Helge K. Dahle; Kenneth Hvistendahl Karlsen et al. (2012). Magne Espedal Memorial Issue. (external link)
- Antoine Tambue; Inga Berre; Jan Martin Nordbotten et al. (2012). Exponential Euler Time Integrator for Simulation of Geothermal Processes in Heterogeneous Porous Media. (external link)
- Antoine Tambue; Inga Berre; Jan Martin Nordbotten et al. (2012). Exponential Euler Time Integrator for Simulation of Geothermal Processes in Heterogeneous Porous Media. (external link)
- Jan Martin Nordbotten (2012). Matematikk som samfunnsfag. (external link)
- Trine Mykkeltvedt; Jan Martin Nordbotten (2012). Estimating effective rates of convective mixing from commercial-scale injection. (external link)
- Tor Harald Sandve; Eirik Keilegavlen; Jan Martin Nordbotten (2012). Mass Conservative Domain Decomposition for Fractured Porous Media. (external link)
- Halvor Møll Nilsen; Anne Randi Syversveen; Knut-Andreas Lie et al. (2012). Impact of top-surface morphology on CO2 storage capacity. (external link)
- Jan Martin Nordbotten (2012). Kan CO2 lagres i undergrunnen?. (external link)
2017
- Jan Martin Nordbotten (2017). Analytical solutions for aquifer thermal energy storage. (external link)
- Anna Nissen; Eirik Keilegavlen; Tor Harald Sandve et al. (2017). Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs. (external link)
- Juan Michael Sargado; Eirik Keilegavlen; Inga Berre et al. (2017). Hybrid FE-FV scheme for modeling pressure-induced fracture propagation in porous media using a phase-field approach. (external link)
- Jan Martin Nordbotten (2017). Outlook on Academia and demonstration of CCS/CCU: Carbon Storage. (external link)
- Eirik Keilegavlen; Jan Martin Nordbotten (2017). Finite volume methods for elasticity with weak symmetry. (external link)
- David Landa-Marbán; Florin Adrian Radu; Jan Martin Nordbotten (2017). A Non-standard Model for Microbial Enhanced Oil Recovery Including the Oil-water Interfacial Area. (external link)
- Nicola Balbarini; Wietse Boon; Ellen Nicolajsen et al. (2017). A 3-D numerical model of the influence of meanders on groundwater discharge to a gaining stream in an unconfined sandy aquifer. (external link)
- Sergey Alyaev; Jan Martin Nordbotten (2017). Multiscale analysis of selected problems in fluid dynamics. (external link)
- Leonid Vasilyev; Jan Martin Nordbotten; Florin Adrian Radu et al. (2017). On the Properties of the Parameter Space of the Generalized Continuum Transport Model for Description of Fluid Flow in Porous Networks. (external link)
- Jan Martin Nordbotten (2017). Modeling, structure, and discretization of mixed-dimensional PDE. (external link)
- Jan Martin Nordbotten (2017). Akademia for fremtiden – hva kan vi by på?. (external link)
- Kundan Kumar; Ingeborg Gåseby Gjerde; Jan Martin Nordbotten et al. (2017). Solution strategies for the coupling of mixed dimensional problems. (external link)
- Jakub Both; Kundan Kumar; Jan Martin Nordbotten et al. (2017). Iterative Methods for Coupled Flow and Geomechanics in Unsaturated Porous Media. (external link)
- Ana Budisa; Eirik Keilegavlen; Jan Martin Nordbotten et al. (2017). A BDDC Method for Robust Discretization of Flow in Fractured Porous Media. (external link)
- Halvor Møll Nilsen; Jan Martin Nordbotten; Xavier Raynaud (2017). Comparison between cell-centered and nodal-based discretization schemes for linear elasticity. (external link)
- Florin Adrian Radu; Kundan Kumar; Jan Martin Nordbotten et al. (2017). A convergent mass conservative numerical scheme based on mixed finite elements for two-phase flow in porous media. (external link)
- Sergey Alyaev; Eirik Keilegavlen; Jan Martin Nordbotten (2017). A robust control volume heterogeneous multiscale method for non-linear flows in porous media. (external link)
- Sergey Alyaev; Eirik Keilegavlen; Jan Martin Nordbotten et al. (2017). Fractal structures in freezing brine. (external link)
- Juan Michael Sargado; Eirik Keilegavlen; Inga Berre et al. (2017). High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. (external link)
- Wietse Boon; Jan Martin Nordbotten; Ivan Yotov (2017). Robust discretization of flow in fractured porous media. (external link)
- Kundan Kumar; Ingeborg Gåseby Gjerde; Jan Martin Nordbotten et al. (2017). Solution strategies for a 3D-1D coupling model. (external link)
- Florin Adrian Radu; Kundan Kumar; Jan Martin Nordbotten et al. (2017). A robust, mass conservative scheme for two-phase flow in porous media including Hoelder continuous nonlinearities. (external link)
- Sergey Alyaev; Eirik Keilegavlen; Jan Martin Nordbotten et al. (2017). Fractal structures in freezing brine. (external link)
- Ana Budisa; Eirik Keilegavlen; Jan Martin Nordbotten et al. (2017). BDDC Preconditioner for Robust Discretization of Flow in Fractured Porous Media. (external link)
- Ana Budisa; Eirik Keilegavlen; Jan Martin Nordbotten et al. (2017). BDDC Preconditioner for Robust Discretization of Flow in Fractured Porous Media. (external link)
- Jakub Both; Manuel Antonio Borregales Reveron; Kundan Kumar et al. (2017). Robust fixed stress splitting for Biot's equations in heterogeneous media. (external link)
- Eirik Keilegavlen; Eren Ucar; Jan Martin Nordbotten et al. (2017). Finite volume discretizations of poro-elasticity in high contrast media. (external link)
- David Landa Marban; Florin Adrian Radu; Jan Martin Nordbotten (2017). Modeling and Simulation of Microbial Enhanced Oil Recovery Including Interfacial Area. (external link)
- Juan Michael Sargado; Eirik Keilegavlen; Inga Berre et al. (2017). High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. (external link)
- Juan Michael Sargado; Eirik Keilegavlen; Inga Berre et al. (2017). High-accuracy phase-field models for brittle fracture. (external link)
2009
- Jan Martin Nordbotten (2009). Multiscale methods for multiphase flow in porous media. (external link)
- Michael A. Celia; Jan Martin Nordbotten (2009). Practical Modeling Approaches for Geological Storage of Carbon Dioxide. (external link)
- Jan Martin Nordbotten; Dmitri Kavetski; Michael A. Celia et al. (2009). Model for CO2 leakage including multiple geological layers and multiple leaky wells. (external link)
- Holger Class; Anozie Ebigbo; Rainer Helmig et al. (2009). A benchmark study on problems related to CO2 storage in geologic formations. Summary and discussion of the results. (external link)
- Eirik Keilegavlen; Jan Martin Nordbotten; Ivar Aavatsmark (2009). Sufficient criteria are necessary for monotone control volume methods. (external link)
- Jan Martin Nordbotten (2009). Adaptive variational multiscale methods for multiphase flow in porous media. (external link)
- Sarah E. Gasda; Jan Martin Nordbotten; Michael A. Celia (2009). Vertical Equilibrium with Sub-scale Analytical Methods for Geological CO2 Sequestration. (external link)
- Jan Martin Nordbotten; Håkon Hægland (2009). On reproducing uniform flow exactly on general hexahedral cells using one degree of freedom per surface. (external link)
- Anders Solstrand Fosen; Jan Martin Nordbotten; Inga Berre (2009). Numerical methods for modeling geothermal energy extraction. (external link)
2016
- Wietse Boon; Nicola Balbarini; Philip John Binning et al. (2016). Efficient water table evolution discretization using domain transformation. (external link)
- Tore Ingvald Bjørnarå; Jan Martin Nordbotten; Joonsang Park (2016). Vertically integrated models for coupled two-phase flow and geomechanics in porous media. (external link)
- Eirik Keilegavlen; Jan Martin Nordbotten; Eren Ucar et al. (2016). A weakly symmetric finite volume method for elasticity with application to fractures in porous media. (external link)
- Juan Michael Sargado; Eirik Keilegavlen; Inga Berre et al. (2016). Impact of Degradation Functions on the Accuracy of Phase-Field Models for Brittle Fracture. (external link)
- Jan Martin Nordbotten; Nils Christian Stenseth (2016). Asymmetric ecological conditions favor Red-Queen type of continued evolution over stasis. (external link)
- Wietse Boon; Jan Martin Nordbotten; Ivan Yotov (2016). Robust Discretization of Flow in Fractured Porous Media. (external link)
- David Landa-Marbán; Florin Adrian Radu; Jan Martin Nordbotten (2016). Modeling and Simulation of Microbial Enhanced Oil Recovery: A New Approach which Includes the Role of Interfacial Area. (external link)
- Eren Ucar; Eirik Keilegavlen; Inga Berre et al. (2016). Cell centered finite volume discretization of fractured deformable porous media. (external link)
- Jan Martin Nordbotten (2016). Stable cell-centered finite volume discretization for biot equations. (external link)
- Juan Michael Sargado; Eirik Keilegavlen; Inga Berre et al. (2016). Improving the Accuracy of Phase-Field Models for Brittle Fracture. (external link)
- Henrik Kalisch; Darko Mitrovic; Jan Martin Nordbotten (2016). Rayleigh–Taylor instability of immiscible fluids in porous media. (external link)
- Erlend Hodneland; Erik Andreas Hanson; Antonella Zanna et al. (2016). Physical models for simulation and reconstruction of human tissue deformation fields in dynamic MRI. (external link)
- Bernd Flemisch; Jan Martin Nordbotten; Wolfgang Nowak et al. (2016). Editorial: Special Issue on “NUPUS: Non-linearities and Upscaling in PoroUS Media”. (external link)
- Bo Guo; Karl W. Bandilla; Jan Martin Nordbotten et al. (2016). A multiscale multilayer vertically integrated model with vertical dynamics for CO2 sequestration in layered geological formations. (external link)
- Jan Martin Nordbotten (2016). Stable and Robust Finite Volume Discretization of Biot’s Equations. (external link)
2006
- Jan Martin Nordbotten; Ignacio Rodriguez-Iturbe; Michael A. Celia (2006). Non-uniqueness of evapotranspiration due to spatial heterogeneity of plant species. (external link)
- Håkon Hægland; Helge Ketil Dahle; Geir Terje Eigestad et al. (2006). Streamline methods on grids adapting to fractures. (external link)
- Ivar Aavatsmark; Geir Terje Eigestad; Jan Martin Nordbotten (2006). A compact MPFA method with improved robustness. (external link)
- Håkon Hægland; Michael A. Celia; Helge Ketil Dahle et al. (2006). Streamline methods on fault adapted grids for risk assessment of storage of CO2 in geological formations. (external link)
- Michael A. Celia; Stefan Bachu; Jan Martin Nordbotten et al. (2006). A risk assessment tool to quantify CO2 leakage potential through wells in mature sedimentary basins. (external link)
- Ivar Aavatsmark; Geir Terje Eigestad; Sissel Slettemark Mundal et al. (2006). Monotonicity of control-volume methods. (external link)
- Jan Martin Nordbotten; MA Celia (2006). An improved analytical solution for interface upconing around a well. (external link)
- Jan Martin Nordbotten; Michael A. Celia (2006). Analysis of plume extent using analytical solutions for CO2 storage. (external link)
- Ivar Aavatsmark; Geir Terje Eigestad; Runhild Aae Klausen et al. (2006). Control-volume discretization of elliptic operators on general grids. (external link)
- Michael Puma; Michael A. Celia; Ignacio Rodriguez-Iturbe et al. (2006). Threshold scales for spatially averaged soil moisture and evapotranspiration with rainfall heterogeneity. (external link)
- Dmitri Kavetski; Jan Martin Nordbotten; Michael A. Celia (2006). Analysis of potential CO2 leakage through abandoned wells using a semi-anlytical model. (external link)
- Sarah E. Gasda; Jan Martin Nordbotten; Michael A. Celia (2006). Significance of dipping angle on CO2 plume migration in deep saline aquifers. (external link)
- Jan Martin Nordbotten; Michael A. Celia; Helge Ketil Dahle et al. (2006). On the definition of macro-scale pressure for multi-phase flow in porous media. (external link)
- Jan Martin Nordbotten; Michael A. Celia (2006). Similarity solutions for fluid injection into confined aquifers. (external link)
2021
- Elyes Ahmed; Alessio Fumagalli; Ana Budisa et al. (2021). Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models. (external link)
- Jhabriel Varela; Sarah Eileen Gasda; Eirik Keilegavlen et al. (2021). A Finite-Volume-Based Module for Unsaturated Poroelasticity. (external link)
- Jakub Wiktor Both; Erlend Storvik; Juan Michael Uy Villanueva Sargado et al. (2021). An Accelerated Staggered Scheme for Phase-field Models of Fracture in Elastic Media. (external link)
- Jakub Wiktor Both; Erlend Storvik; Juan Michael Uy Villanueva Sargado et al. (2021). Anderson Acceleration for the Staggered Solution of Phase-Field Models for Fracture in Elastic Media. (external link)
- Shashank Kumar Anand; Milad Hooshyar; Jan Martin Nordbotten et al. (2021). A minimalist model for coevolving supply and drainage networks. (external link)
- Sabrina Daniela Eder; Simen Kaasa Hellner; Stiven Forti et al. (2021). Temperature-Dependent Bending Rigidity of AB-Stacked Bilayer Graphene. (external link)
- Erlend Storvik; Jakub Both; Jan Martin Nordbotten et al. (2021). The Fixed-Stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence. (external link)
- Ulin Nuha Abdul Qohar; Antonella Zanna Munthe-Kaas; Jan Martin Nordbotten et al. (2021). A nonlinear multi-scale model for blood circulation in a realistic vascular system. (external link)
- Ulin Nuha Abdul Qohar; Erik Andreas Hanson; Jan Martin Nordbotten et al. (2021). Computational Study of Vessel Occlusion using a Nonlinear Multiscale Blood Flow Model. (external link)
- Erlend Storvik; Jakub Wiktor Both; Jan Martin Nordbotten et al. (2021). A Cahn-Hilliard-Biot system and its generalized gradient flow structure. (external link)
- Ingeborg Gåseby Gjerde; Kundan Kumar; Jan Martin Nordbotten (2021). A Mixed Approach to the Poisson Problem with Line Sources. (external link)
- Michele Starnoni; Inga Berre; Eirik Keilegavlen et al. (2021). Modeling and discretization of flow in porous media with thin, full-tensor permeability inclusions. (external link)
- Jakub Wiktor Both; Kundan Kumar; Jan Martin Nordbotten et al. (2021). Robust block-partitioned solvers for flow in deformable porous media via alternating minimization. (external link)
- Erlend Hodneland; Xiaozhe Hu; Jan Martin Nordbotten (2021). Well-posedness and discretization for a class of models for mixed-dimensional problems with high-dimensional gap. (external link)
- Erlend Storvik; Jakub Wiktor Both; Juan Michael Uy Villanueva Sargado et al. (2021). An accelerated staggered scheme for variational phase-field models of brittle fracture. (external link)
- Juan Michael Uy Villanueva Sargado; Eirik Keilegavlen; Inga Berre et al. (2021). A combined finite element–finite volume framework for phase-field fracture. (external link)
- Jakub Wiktor Both; Kundan Kumar; Jan Martin Nordbotten et al. (2021). Robust block-partitioned solvers for poroelasticity derived from its gradient flow structures. (external link)
- Jakub Wiktor Both; Kundan Kumar; Jan Martin Nordbotten et al. (2021). Block-partitioned solvers for poromechanics via gradient flows and minimization. (external link)
2010
- Tor Harald Sandve; Inga Berre; Jan Martin Nordbotten (2010). A numerical modell of an enhanced geothermal system. (external link)
- Andreas Sandvin; Jan Ole Skogestad; Eirik Keilegavlen et al. (2010). A Multiscale Framework for Simulating Multi-phase Flow on Flexible Grids. (external link)
- Jan Martin Nordbotten (2010). Variational and heterogeneous multiscale methods. (external link)
- Åsa Rennermalm; Jan Martin Nordbotten; Eric F. Wood (2010). Hydrologic variability and its influence on long-term peat dynamics. (external link)
- Trenton E. Franz; Kelly K. Caylor; Jan Martin Nordbotten et al. (2010). An ecohydrological approach to predicting regional woody species distribution patterns in dryland ecosystems. (external link)
- Trine Mykkeltvedt; Helge K. Dahle; Jan Martin Nordbotten (2010). Modeling Dissolution within Vertically Averaged Formulations. (external link)
- Sergey Alyaev; Jan Martin Nordbotten; Jan Valdman (2010). Adaptive Multiscale Methods Based on A Posteriori Error Estimates. (external link)
- Kristian Gundersen; Jan Martin Nordbotten; Talal Rahman (2010). Two Level Additive Schwarz Preconditioner For Control Volume Finite Element Methods. (external link)
- Elin Marie Elje; Jan Martin Nordbotten; Eirik Keilegavlen (2010). A Multiscale Approach to Estimate Large Scale Flow and Leakage from Geological Storage. (external link)
- Jan Martin Nordbotten; Kristin Rygg (2010). Klasseromsforsøk om lagring av CO2 under havbunnen. (external link)
- Jan Martin Nordbotten; Juan P. Nogues; Michael A. Celia (2010). Appropriate choice of average pressure for upscaling relative permeability in dynamic flow conditions. (external link)
- Tor Harald Sandve; Inga Berre; Jan Martin Nordbotten (2010). An integrated fracture and continuum model for simulating heat and mass transfer in geothermal systems. (external link)
- Jan Martin Nordbotten; Talal Rahman; Sergej I. Repin et al. (2010). A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model. (external link)
- Knut Erland Brun; Inga Berre; Jan Martin Nordbotten (2010). Potensialet for geotermisk energi i Norge: Modellering av varmeutvinning fra konstruerte geotermiske system. (external link)
- Tor Harald Sandve; Inga Berre; Jan Martin Nordbotten (2010). An integrated fracture and continuum model for simulating heat and mass transfer in geothermal systems. (external link)
- Carina Bringedal; Inga Berre; Jan Martin Nordbotten (2010). Convection cells in porous media. Seminar on flow in porous media and multiscale methods. (external link)
- Bassel El-Faour; Helge K. Dahle; Jan Martin Nordbotten et al. (2010). On the use of vertically averaged models to simulate CO2 migration in a layered saline aquifer. (external link)
- Ivar Aavatsmark; Geir Terje Eigestad; Bjørn-Ove Heimsund et al. (2010). A new finite-volume approach to efficient discretization on challenging grids. (external link)
2020
- Erlend Hodneland; Jan Martin Nordbotten (2020). A scale-independent framework for whole brain simulation of blood flow in the human brain. (external link)
- Jan Martin Nordbotten; Folmer Bokma; Jo Skeie Hermansen et al. (2020). The dynamics of trait variance in multi-species communities. (external link)
- Wietse Boon; Jan Martin Nordbotten (2020). Stable mixed finite elements for linear elasticity with thin inclusions. (external link)
- Jan Martin Nordbotten (2020). Modeling and discretization of fractures in geological porous media. (external link)
- Mats Kirkesæther Brun; Thomas Wick; Inga Berre et al. (2020). An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. (external link)
- Jakub Both; Kundan Kumar; Jan Martin Nordbotten et al. (2020). Robust Block-Partitioned Solvers for Poroviscoelasticity. (external link)
- Ilona Ambartsumyan; Eldar Khattatov; Jan Martin Nordbotten et al. (2020). A multipoint stress mixed finite element method for elasticity on quadrilateral grids. (external link)
- Manuel Antonio Borregales Reveron; Kundan Kumar; Jan Martin Nordbotten et al. (2020). Iterative solvers for Biot model under small and large deformations. (external link)
- Jan Martin Nordbotten; Eikehaug Kristoffer (2020). CO2 storage in the natural underground. (external link)
- Kundan Kumar; Svetlana Kyas; Jan Martin Nordbotten et al. (2020). Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. (external link)
- Jakub Both; Jan Martin Nordbotten; Florin Adrian Radu (2020). Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media. (external link)
- Jakub Both; Jan Martin Nordbotten; Florin Adrian Radu (2020). Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media. (external link)
- Wietse Boon; Jan Martin Nordbotten; Jon Eivind Vatne (2020). Functional analysis and exterior calculus on mixed-dimensional geometries. (external link)
- Wietse Boon; Jan Martin Nordbotten (2020). Convergence of a tpfa finite volume scheme for mixed-dimensional flow problems. (external link)
- Ilona Ambartsumyan; Eldar Khattatov; Jan Martin Nordbotten et al. (2020). A multipoint stress mixed finite element method for elasticity on simplicial grids. (external link)
- Mats Kirkesæther Brun; Elyes Ahmed; Inga Berre et al. (2020). Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. (external link)
2013
- Sarah Eileen Gasda; Helge K. Dahle; Jan Martin Nordbotten et al. (2013). Quantifying storage capacity using upscaled models for CO2 storage. (external link)
- Elsa du Plessis; Jan Martin Nordbotten; Sarah Gasda et al. (2013). Influence of capillary pressure and trapping hysteresis on large-scale CO2 migration. (external link)
- Tor Harald Sandve; Inga Berre; Eirik Keilegavlen et al. (2013). Multiscale simulation of flow and heat transport in fractured geothermal reservoirs: inexact solvers and improved transport upscaling. (external link)
- Daniel Patel; Veronika Šoltészová; Jan Martin Nordbotten et al. (2013). Instant convolution shadows for volumetric detail mapping. (external link)
- Antoine Tambue; Inga Berre; Jan Martin Nordbotten (2013). Efficient simulation of geothermal processes in heterogeneous porous media based on exponential Rosenbrock-Euler method and Rosenbrock-type methods. (external link)
- Carina Bringedal; Inga Berre; Jan Martin Nordbotten (2013). Influence of convection on production from borehole heat exchangers. (external link)
- Andreas Sandvin; Eirik Keilegavlen; Jan Martin Nordbotten (2013). Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. (external link)
- Florian Doster; Jan Martin Nordbotten; Michael A. Celia (2013). Impact of capillary hysteresis and trapping on vertically integrated models for CO2 storage. (external link)
- Jan Ole Skogestad; Eirik Keilegavlen; Jan Martin Nordbotten (2013). Domain decomposition strategies for nonlinear flow problems in porous media. (external link)
- Carina Bringedal; Inga Berre; Jan Martin Nordbotten (2013). Influence of natural convection in a porous medium when producing from borehole heat exchangers. (external link)
- Tor Harald Sandve; Inga Berre; Jan Martin Nordbotten (2013). Multiscale simulation of flow and heat transport in fractured geothermal reservoirs. (external link)
2011
- Jan Martin Nordbotten (2011). Undergrunnen som energiressurs. (external link)
- Halvor Møll Nilsen; Paulo Herrera; Seyed Meisam Ashraf et al. (2011). Field-case simulation of CO2-plume migration using vertical-equilibrium models. (external link)
- Carina Bringedal; Inga Berre; Jan Martin Nordbotten et al. (2011). Linear and nonlinear convection in porous media between coaxial cylinders. (external link)
- Jan Martin Nordbotten; Michael A. Celia (2011). Geological Storage of CO2: Modeling Approaches for Large-Scale Simulation. (external link)
- Eyvind Aker; Tore Ingvald Bjørnarå; Alvar Braathen et al. (2011). SUCCESS: SUbsurface CO2 storage–Critical elements and superior strategy. (external link)
- Tor Harald Sandve; Inga Berre; Jan Martin Nordbotten (2011). An efficient Multi-Point-Flux-Approximation (MPFA) approach to Discrete Fracture Matrix (DFM) flow models. (external link)
- TE Franz; Jay Nolan; Jan Martin Nordbotten et al. (2011). Quantifying Transient Soil Moisture Dynamics Using Multipoint Direct-Current Resistivity in Homogeneous Sand. (external link)
- Jan Martin Nordbotten; Helge K. Dahle (2011). Impact of the capillary fringe in vertically integrated models for CO2 storage. (external link)
- Sarah E. Gasda; Jan Martin Nordbotten; Michael A. Celia (2011). Vertically averaged approaches for CO2 migration with solubility trapping. (external link)
- Andreas Sandvin; Jan Martin Nordbotten; Ivar Aavatsmark (2011). Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. (external link)
- Karsten Pruess; Jan Martin Nordbotten (2011). Numerical Simulation Studies of the Long-term Evolution of a CO2 Plume in a Saline Aquifer with a Sloping Caprock. (external link)
- Carina Bringedal; Inga Berre; Jan Martin Nordbotten (2011). Linear and nonlinear convection in porous media between coaxial sylinders. (external link)
- Tor Harald Sandve; Inga Berre; Jan Martin Nordbotten (2011). Discrete Fracture Matrix models for modelling heat and mass transfer in geothermal reservoirs. (external link)
- Michael A. Celia; Jan Martin Nordbotten; B Court et al. (2011). Field-scale application of a semi-analytical model for estimation cif CO2 and brine leakage along old wells. (external link)
- Inga Berre; Carina Bringedal; Jan Martin Nordbotten et al. (2011). Challenges in mathematical modeling and numerical simulation of geothermal systems. (external link)
2024
- Peter Moritz von Schultzendorff; Tor Harald Sandve; Birane Kane et al. (2024). A machine learned near-well model in OPM. (external link)
- Jan Martin Nordbotten; Martin Fernø; Bernd Flemisch et al. (2024). Experimentally assessing the uncertainty of forecasts of geological carbon storage. (external link)
- A.R. Kovscek; Jan Martin Nordbotten; Martin Fernø (2024). Scaling Up FluidFlower Results for Carbon Dioxide Storage in Geological Media. (external link)
- Runar Lie Berge; Inga Berre; Eirik Keilegavlen et al. (2024). Viscous fingering in fractured porous media. (external link)
- Runar Lie Berge; Inga Berre; Eirik Keilegavlen et al. (2024). Numerical Simulations of Viscous Fingering in Fractured Porous Media. (external link)
- Jan Martin Nordbotten; Martin Fernø; Bernd Flemisch et al. (2024). The 11th Society of Petroleum Engineers Comparative Solution Project: Problem Definition. (external link)
- Ingrid Kristine Jacobsen; Inga Berre; Jan Martin Nordbotten et al. (2024). An MPSA-Newmark discretization of the elastic wave equation with absorbing boundary conditions. (external link)
- Malin Haugen; Lluís Saló-Salgado; Kristoffer Eikehaug et al. (2024). Physical Variability in Meter-Scale Laboratory CO2 Injections in Faulted Geometries. (external link)
- Jakub Wiktor Both; Bergit Brattekås; Eirik Keilegavlen et al. (2024). High-fidelity experimental model verification for flow in fractured porous media. (external link)
- Peter Moritz von Schultzendorff; Tor Harald Sandve; Birane Kane et al. (2024). A Machine-Learned Near-Well Model in OPM Flow. (external link)
- Peter Moritz von Schultzendorff; Tor Harald Sandve; Birane Kane et al. (2024). A machine-learned near-well model in OPM Flow. (external link)
- Jhabriel Varela; Eirik Keilegavlen; Jan Martin Nordbotten et al. (2024). A model for saturated–unsaturated flow with fractures acting as capillary barriers. (external link)
- Jan Martin Nordbotten; Martin Fernø; Bernd Flemisch et al. (2024). FluidFlower: A Meter-Scale Experimental Laboratory for Geological CO<inf>2</inf> Storage. (external link)
- Peter Moritz von Schultzendorff; Tor Harald Sandve; Birane Kane et al. (2024). A machine-learned near-well model in OPM Flow.. (external link)
- Peter Moritz von Schultzendorff; Tor Harald Sandve; Birane Kane et al. (2024). A machine-learned near-well model in OPM Flow. (external link)
- Kristoffer Eikehaug; Malin Quande Haugen; Olav Parelius Folkvord et al. (2024). Engineering Meter-scale Porous Media Flow Experiments for Quantitative Studies of Geological Carbon Sequestration. (external link)
2005
- Jan Martin Nordbotten; Ivar Aavatsmark (2005). Monotonicity Conditions for Control Volume Methods on Uniform Parallelogram Grids in Homogeneous Media. (external link)
- Ivar Aavatsmark; Geir Terje Eigestad; Jan Martin Nordbotten (2005). Properties of MPFA methods on quadrilateral grids. (external link)
- Jan Martin Nordbotten; Michael A. Celia; Stefan Bachu et al. (2005). Semi-Analytical Solution for CO2 Leakage through an Abandoned Well. (external link)
- Jan Martin Nordbotten; Michael A. Celia; Stefan Bachu (2005). Injection and Storage of CO2 in Deep Saline Aquifers: Analytical Solution for CO2 Plume Evolution During Injection. (external link)
- Johan Lie; Jan Martin Nordbotten (2005). Inverse Scale Spaces for Nonlinear Regularization. (external link)
- Jan Martin Nordbotten; Geir Terje Eigestad (2005). Discretization on quadrilateral grids with improved monotonicity properties. (external link)
- Geir Terje Eigestad; Ivar Aavatsmark; Erlend Øian et al. (2005). Monotonicity Investigation of Various MPFA Methods onChallenging Grids and Medium Heterogeneities. (external link)
- Ivar Aavatsmark; Geir Terje Eigestad; Runhild Aae Klausen et al. (2005). Control-volume discretizations compatible with physics. (external link)
- Michael A. Celia; Stefan Bachu; Jan Martin Nordbotten et al. (2005). Modeling Critical Leakage Pathways in a Risk Assessment Framework: Representation of Abandoned Wells. (external link)
2008
- Jan Martin Nordbotten (2008). Stability analysis of probabilistic soil moisture dynamics. (external link)
- Jan Martin Nordbotten; Helge Ketil Dahle (2008). Utopiske Greenpeace. (external link)
- Jan Martin Nordbotten; Michael A. Celia; Helge Ketil Dahle et al. (2008). On the definition of macroscale pressure for multiphase flow in porous media. (external link)
- Sarah E. Gasda; Jan Martin Nordbotten; Michael A. Celia (2008). Determining effective wellbore permeability from a field pressure test: a numerical analysis of detection limits. (external link)
- Jan Martin Nordbotten; Petter Erling Bjørstad (2008). On the relationship between the multiscale finite-volume method and domain decomposition preconditioners. (external link)
- Ivar Aavatsmark; Geir Terje Eigestad; Brad T. Mallison et al. (2008). A compact multipoint flux approximation method with improved robustness. (external link)
See a complete overview of publications in Cristin.
The following list of publications is autmatically generated based on that national research database CRIStin, and may contain omissions. For a complete list, consult google scholar.