Jan Martin Nordbotten
Position
Professor
Affiliation
- jan.nordbotten@uib.no
- Phone number
- +47 90965990
- Visitor address
-
Allégaten 41
5007 Bergen - Postal address
-
P.O. Box 7803NO-5020 BergenNorway
Jan Martin Nordbotten
Position
Professor
Affiliation
Research groups
Short info
Nordbotten’s research interests span the whole spectrum of applied mathematics, including both theoretical and numerical methods. His research is applied to topics as diverse as ecohydrology, evolution, medical imaging, porous media and renewable energy.
Research
Jan Martin Nordbotten was the youngest ever to complete a PhD in Norway, and the third-youngest professor. He is currently part of the porous media research group in the Department of Mathematics at the University of Bergen. Nordbotten is a recipient of both national and international awards for his research, and is a former VISTA professor of the Norwegian Academy of Sciences and Letters.
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
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.
2024
- von Schultzendorff, Peter Moritz; Sandve, Tor Harald; Kane, Birane et al. (2024). A Machine-Learned Near-Well Model in OPM Flow. (external link)
- Kovscek, A.R.; Nordbotten, Jan Martin; Fernø, Martin (2024). Scaling Up FluidFlower Results for Carbon Dioxide Storage in Geological Media. (external link)
- Eikehaug, Kristoffer; Haugen, Malin Quande; Folkvord, Olav Parelius et al. (2024). Engineering Meter-scale Porous Media Flow Experiments for Quantitative Studies of Geological Carbon Sequestration. (external link)
- Haugen, Malin; Saló-Salgado, Lluís; Eikehaug, Kristoffer et al. (2024). Physical Variability in Meter-Scale Laboratory CO<inf>2</inf> Injections in Faulted Geometries. (external link)
- Berge, Runar Lie; Berre, Inga; Keilegavlen, Eirik et al. (2024). Numerical Simulations of Viscous Fingering in Fractured Porous Media. (external link)
- Nordbotten, Jan Martin; Fernø, Martin; Flemisch, Bernd et al. (2024). The 11th Society of Petroleum Engineers Comparative Solution Project: Problem Definition. (external link)
- Nordbotten, Jan Martin; Fernø, Martin; Flemisch, Bernd et al. (2024). Experimentally assessing the uncertainty of forecasts of geological carbon storage. (external link)
- Varela, Jhabriel; Keilegavlen, Eirik; Nordbotten, Jan Martin et al. (2024). A model for saturated–unsaturated flow with fractures acting as capillary barriers. (external link)
2023
- Keilegavlen, Eirik; Fonn, Eivind; Johannessen, Kjetil Andre et al. (2023). PoroTwin: A Digital Twin for a FluidFlower Rig. (external link)
- Nordbotten, Jan Martin; Mossige, Joachim (2023). The dissolution of a miscible drop rising or falling in another liquid at low Reynolds number. (external link)
- Garcia Pascual, Belen; Nordbotten, Jan Martin; Johnston, Iain (2023). Cellular and environmental dynamics influence species-specific extents of organelle gene retention. (external link)
- Hu, Xiaozhe; Keilegavlen, Eirik; Nordbotten, Jan Martin (2023). Effective Preconditioners for Mixed-Dimensional Scalar Elliptic Problems. (external link)
- Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin et al. (2023). A robust solution strategy for the Cahn-Larché equations. (external link)
- Saló-Salgado, Lluís; Haugen, Malin; Eikehaug, Kristoffer 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)
- Flemisch, Bernd; Nordbotten, Jan Martin; Fernø, Martin et al. (2023). The FluidFlower Validation Benchmark Study for the Storage of CO <inf>2</inf>. (external link)
- Fernø, Martin; Haugen, Malin; Eikehaug, Kristoffer et al. (2023). Room-Scale CO<inf>2</inf> Injections in a Physical Reservoir Model with Faults. (external link)
- Nordbotten, Jan Martin; Benali, Benyamine; Both, Jakub Wiktor et al. (2023). DarSIA: An Open-Source Python Toolbox for Two-Scale Image Processing of Dynamics in Porous Media. (external link)
2022
- Varela, Jhabriel; Ahmed, Elyes; Keilegavlen, Eirik et al. (2022). A posteriori error estimates for hierarchical mixed-dimensional elliptic equations. (external link)
- Boon, Wietse; Nordbotten, Jan Martin (2022). Mixed-dimensional poromechanical models of fractured porous media. (external link)
- Nordbotten, Jan Martin; Mossige, Joachim (2022). The dissolution of a miscible drop rising or falling in another liquid at low Reynolds number. (external link)
- Brun, Mats Kirkesæther; Ahmed, Elyes; Nordbotten, Jan Martin et al. (2022). Modeling the Process of Speciation Using a Multiscale Framework Including A Posteriori Error Estimates. (external link)
2021
- Eder, Sabrina Daniela; Hellner, Simen Kaasa; Forti, Stiven et al. (2021). Temperature-Dependent Bending Rigidity of AB-Stacked Bilayer Graphene. (external link)
- Starnoni, Michele; Berre, Inga; Keilegavlen, Eirik et al. (2021). Modeling and discretization of flow in porous media with thin, full-tensor permeability inclusions. (external link)
- Storvik, Erlend; Both, Jakub; Nordbotten, Jan Martin et al. (2021). The Fixed-Stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence. (external link)
- Gjerde, Ingeborg Gåseby; Kumar, Kundan; Nordbotten, Jan Martin (2021). A Mixed Approach to the Poisson Problem with Line Sources. (external link)
- Storvik, Erlend; Both, Jakub Wiktor; Sargado, Juan Michael Uy Villanueva et al. (2021). An accelerated staggered scheme for variational phase-field models of brittle fracture. (external link)
- Ahmed, Elyes; Fumagalli, Alessio; Budisa, Ana et al. (2021). Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models. (external link)
- Sargado, Juan Michael Uy Villanueva; Keilegavlen, Eirik; Berre, Inga et al. (2021). A combined finite element–finite volume framework for phase-field fracture. (external link)
- Anand, Shashank Kumar; Hooshyar, Milad; Nordbotten, Jan Martin et al. (2021). A minimalist model for coevolving supply and drainage networks. (external link)
- Qohar, Ulin Nuha Abdul; Munthe-Kaas, Antonella Zanna; Nordbotten, Jan Martin et al. (2021). A nonlinear multi-scale model for blood circulation in a realistic vascular system. (external link)
- Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin et al. (2021). A Cahn-Hilliard-Biot system and its generalized gradient flow structure. (external link)
- Hodneland, Erlend; Hu, Xiaozhe; Nordbotten, Jan Martin (2021). Well-posedness and discretization for a class of models for mixed-dimensional problems with high-dimensional gap. (external link)
2020
- Boon, Wietse; Nordbotten, Jan Martin (2020). Stable mixed finite elements for linear elasticity with thin inclusions. (external link)
- Kumar, Kundan; Kyas, Svetlana; Nordbotten, Jan Martin et al. (2020). Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. (external link)
- Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan Martin et al. (2020). A multipoint stress mixed finite element method for elasticity on quadrilateral grids. (external link)
- Ambartsumyan, Ilona; Khattatov, Eldar; Nordbotten, Jan Martin et al. (2020). A multipoint stress mixed finite element method for elasticity on simplicial grids. (external link)
- Boon, Wietse; Nordbotten, Jan Martin (2020). Convergence of a tpfa finite volume scheme for mixed-dimensional flow problems. (external link)
- Borregales Reveron, Manuel Antonio; Kumar, Kundan; Nordbotten, Jan Martin et al. (2020). Iterative solvers for Biot model under small and large deformations. (external link)
- Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga et al. (2020). Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport. (external link)
- Nordbotten, Jan Martin; Bokma, Folmer; Hermansen, Jo Skeie et al. (2020). The dynamics of trait variance in multi-species communities. (external link)
- Brun, Mats Kirkesæther; Wick, Thomas; Berre, Inga et al. (2020). An iterative staggered scheme for phase field brittle fracture propagation with stabilizing parameters. (external link)
- Boon, Wietse; Nordbotten, Jan Martin; Vatne, Jon Eivind (2020). Functional analysis and exterior calculus on mixed-dimensional geometries. (external link)
2019
- Hanson, Erik Andreas; Hodneland, Erlend; Lorentzen, Rolf Johan et al. (2019). Mathematics and Medicine: How mathematics, modelling and simulations can lead to better diagnosis and treatments . (external link)
- Brun, Mats Kirkesæther; Ahmed, Elyes; Nordbotten, Jan Martin et al. (2019). Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport. (external link)
- Both, Jakub; Kumar, Kundan; Nordbotten, Jan Martin et al. (2019). Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations. (external link)
- Gasda, Sarah Eileen; Aavatsmark, Ivar; Bohloli, Bahman et al. (2019). Protection of Caprock Integrity for Large-Scale CO2 Storage on the Norwegian Continental Shelf. (external link)
- Gjerde, Ingeborg Gåseby; Kumar, Kundan; Nordbotten, Jan Martin (2019). A singularity removal method for coupled 1D–3D flow models. (external link)
- Starnoni, Michele; Berre, Inga; Keilegavlen, Eirik et al. (2019). Consistent MPFA Discretization for Flow in the Presence of Gravity. (external link)
- Berge, Runar Lie; Berre, Inga; Keilegavlen, Eirik et al. (2019). Finite volume discretization for poroelastic media with fractures modeled by contact mechanics. (external link)
- Gjerde, Ingeborg Gåseby; Kumar, Kundan; Nordbotten, Jan Martin et al. (2019). Splitting method for elliptic equations with line sources. (external link)
- Hodneland, Erlend; Hanson, Erik Andreas; Sævareid, Ove 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)
- Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian (2019). Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems. (external link)
- Storvik, Erlend; Both, Jakub; Kumar, Kundan et al. (2019). On the optimization of the fixed‐stress splitting for Biot's equations. (external link)
- Radu, Florin Adrian; Kumar, Kundan; Berre, Inga et al. (2019). Numerical Mathematics and Advanced Applications ENUMATH 2017. (external link)
2018
- Borregales Reveron, Manuel Antonio; Radu, Florin Adrian; Kumar, Kundan et al. (2018). Robust iterative schemes for non-linear poromechanics. (external link)
- Boon, Wietse; Nordbotten, Jan Martin; Yotov, Ivan (2018). Robust discretization of flow in fractured porous media. (external link)
- Both, Jakub; Kumar, Kundan; Nordbotten, Jan Martin et al. (2018). Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. (external link)
- Brun, Mats Kirkesæther; Berre, Inga; Nordbotten, Jan Martin et al. (2018). Upscaling of the coupling of hydromechanical and thermal processes in a quasi-static poroelastic medium. (external link)
- Nordbotten, Jan Martin; Levin, Simon A.; Szathmáry, Eörs et al. (2018). Ecological and evolutionary dynamics of interconnectedness and modularity. (external link)
- Ucar, Eren; Keilegavlen, Eirik; Berre, Inga et al. (2018). A finite-volume discretization for deformation of fractured media. (external link)
- Nordbotten, Jan Martin; Boon, Wietse; Fumagalli, Alessio et al. (2018). Unified approach to discretization of flow in fractured porous media. (external link)
- Ahmed, Elyes; Radu, Florin Adrian; Nordbotten, Jan Martin (2018). Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot's consolidation model. (external link)
- Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin (2018). A heterogeneous multiscale MPFA method for single-phase flows in porous media with inertial effects. (external link)
- Hodneland, Erlend; Keilegavlen, Eirik; Hanson, Erik Andreas et al. (2018). In vivo detection of chronic kidney disease using tissue deformation fields from dynamic MR imaging.. (external link)
2017
- Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga et al. (2017). High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. (external link)
- Keilegavlen, Eirik; Nordbotten, Jan Martin (2017). Finite volume methods for elasticity with weak symmetry. (external link)
- Radu, Florin Adrian; Kumar, Kundan; Nordbotten, Jan Martin et al. (2017). A robust, mass conservative scheme for two-phase flow in porous media including Hoelder continuous nonlinearities. (external link)
- Vasilyev, Leonid; Nordbotten, Jan Martin; Radu, Florin Adrian 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)
- Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin et al. (2017). Fractal structures in freezing brine. (external link)
- Nordbotten, Jan Martin (2017). Analytical solutions for aquifer thermal energy storage. (external link)
- Balbarini, Nicola; Boon, Wietse; Nicolajsen, Ellen 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)
- Nilsen, Halvor Møll; Nordbotten, Jan Martin; Raynaud, Xavier (2017). Comparison between cell-centered and nodal-based discretization schemes for linear elasticity. (external link)
- Nissen, Anna; Keilegavlen, Eirik; Sandve, Tor Harald et al. (2017). Heterogeneity preserving upscaling for heat transport in fractured geothermal reservoirs. (external link)
- Marban, David Landa; Radu, Florin Adrian; Nordbotten, Jan Martin (2017). Modeling and Simulation of Microbial Enhanced Oil Recovery Including Interfacial Area. (external link)
- Both, Jakub; Borregales Reveron, Manuel Antonio; Kumar, Kundan et al. (2017). Robust fixed stress splitting for Biot's equations in heterogeneous media. (external link)
2016
- Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan Martin (2016). Rayleigh–Taylor instability of immiscible fluids in porous media. (external link)
- Nordbotten, Jan Martin (2016). Stable cell-centered finite volume discretization for biot equations. (external link)
- Boon, Wietse; Balbarini, Nicola; Binning, Philip John et al. (2016). Efficient water table evolution discretization using domain transformation. (external link)
- Nordbotten, Jan Martin; Stenseth, Nils Christian (2016). Asymmetric ecological conditions favor Red-Queen type of continued evolution over stasis. (external link)
- Hodneland, Erlend; Hanson, Erik Andreas; Zanna, Antonella et al. (2016). Physical models for simulation and reconstruction of human tissue deformation fields in dynamic MRI. (external link)
- Bjørnarå, Tore Ingvald; Nordbotten, Jan Martin; Park, Joonsang (2016). Vertically integrated models for coupled two-phase flow and geomechanics in porous media. (external link)
- Guo, Bo; Bandilla, Karl W.; Nordbotten, Jan Martin et al. (2016). A multiscale multilayer vertically integrated model with vertical dynamics for CO2 sequestration in layered geological formations. (external link)
2015
- Keilegavlen, Eirik; Nordbotten, Jan Martin (2015). Inexact linear solvers for control volume discretizations in porous media. (external link)
- Radu, Adrian Florin; Nordbotten, Jan Martin; Pop, Iuliu Sorin et al. (2015). A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. (external link)
- Kalisch, Henrik; Mitrovic, Darko; Nordbotten, Jan Martin (2015). Non-standard shocks in the Buckley-Leverett equation. (external link)
- Skogestad, Jan Ole; Keilegavlen, Eirik; Nordbotten, Jan Martin (2015). Two-scale preconditioning for two-phase nonlinear flows in porous media. (external link)
- Nordbotten, Jan Martin (2015). Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity. (external link)
- Schaffer, Benjamin E.; Nordbotten, Jan Martin; Rodriguez-Iturbe, Ignacio (2015). Plant biomass and soil moisture dynamics: Analytical results. (external link)
- Doster, Florian; Nordbotten, Jan Martin (2015). Full pressure coupling for geomechanical multiphase multicomponent flow simulation. (external link)
2014
- Mitrovic, Darko; Nordbotten, Jan Martin; Kalisch, Henrik (2014). Dynamics of the interface between immiscible liquids of different densities with low Froude number. (external link)
- Bjørnarå, Tore Ingvald; Mathias, Simon A.; Nordbotten, Jan Martin et al. (2014). Capturing the coupled hydro-mechanical processes occurring during CO2 injection – example from In Salah. (external link)
- Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin (2014). Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media. (external link)
- Kang, Mary; Nordbotten, Jan Martin; Doster, Florian et al. (2014). Analytical solutions for two-phase subsurface flow to a leaky fault considering vertical flow effects and fault properties. (external link)
- Nordbotten, Jan Martin (2014). Finite volume hydromechanical simulation in porous media. (external link)
- Sandve, Tor Harald; Keilegavlen, Eirik; Nordbotten, Jan Martin (2014). Physics-based preconditioners for flow in fractured porous media. (external link)
- Elenius, Maria; Nordbotten, Jan Martin; Kalisch, Henrik (2014). Convective mixing influenced by the capillary transition zone. (external link)
- Nordbotten, Jan Martin (2014). Cell-centered finite volume discretizations for deformable porous media. (external link)
- Keilegavlen, Eirik; Nordbotten, Jan Martin (2014). Conservative inexact solvers for porous media flow. (external link)
2013
- Bringedal, Carina; Berre, Inga; Nordbotten, Jan Martin (2013). Influence of natural convection in a porous medium when producing from borehole heat exchangers. (external link)
- Patel, Daniel; Šoltészová, Veronika; Nordbotten, Jan Martin et al. (2013). Instant convolution shadows for volumetric detail mapping. (external link)
- Doster, Florian; Nordbotten, Jan Martin; Celia, Michael A. (2013). Impact of capillary hysteresis and trapping on vertically integrated models for CO2 storage. (external link)
- Sandvin, Andreas; Keilegavlen, Eirik; Nordbotten, Jan Martin (2013). Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. (external link)
- Tambue, Antoine; Berre, Inga; Nordbotten, Jan Martin (2013). Efficient simulation of geothermal processes in heterogeneous porous media based on exponential Rosenbrock-Euler method and Rosenbrock-type methods. (external link)
- Skogestad, Jan Ole; Keilegavlen, Eirik; Nordbotten, Jan Martin (2013). Domain decomposition strategies for nonlinear flow problems in porous media. (external link)
- du Plessis, Elsa; Nordbotten, Jan Martin; Gasda, Sarah et al. (2013). Influence of capillary pressure and trapping hysteresis on large-scale CO2 migration. (external link)
2012
- Nogues, Juan P.; Court, Benjanin; Dobossy, Mark et al. (2012). A methodology to estimate maximum probable leakage along old wells in a geological sequestration operation. (external link)
- Nilsen, Halvor Møll; Syversveen, Anne Randi; Lie, Knut-Andreas et al. (2012). Impact of top-surface morphology on CO2 storage capacity. (external link)
- Franz, Trenton E.; Caylor, Kelly K.; King, Elizabeth G. et al. (2012). An ecohydrological approach to predicting hillslope-scale vegetation patterns in dryland ecosystems. (external link)
- Sandve, Tor Harald; Berre, Inga; Nordbotten, Jan Martin (2012). An efficient multi-point flux approximation method for Discrete Fracture–Matrix simulations. (external link)
- Gasda, Sarah Eileen; Nordbotten, Jan Martin; Celia, Michael A. (2012). Application of simplified models to CO2 migration and immobilization in large-scale geological systems. (external link)
- Mykkeltvedt, Trine; Nordbotten, Jan Martin (2012). Estimating effective rates of convective mixing from commercial-scale injection. (external link)
- Keilegavlen, Eirik; Nordbotten, Jan Martin; Stephansen, Annette (2012). Tensor relative permeabilities: Origin, modeling and numerical discretization. (external link)
- Court, Benjanin; Bandilla, Karl W.; Celia, Michael A. et al. (2012). Initial evaluation of advantageous synergies associated with simultaneous brine production and CO2 geological sequestration. (external link)
- Nordbotten, Jan Martin; Flemisch, Bernd; Gasda, Sarah Eileen et al. (2012). Uncertainties in practical simulation of CO2 storage. (external link)
- Elenius, Maria; Nordbotten, Jan Martin; Kalisch, Henrik (2012). Effects of a capillary transition zone on the stability of a diffusive boundary layer. (external link)
- Court, Benjanin; Bandilla, Karl W.; Celia, Michael A. et al. (2012). Applicability of vertical-equilibrium and sharp-interface assumptions in CO2 sequestration modeling. (external link)
- Vasilyev, Leonid; Raoof, Amir; Nordbotten, Jan Martin (2012). Effect of mean network coordination number on dispersivity characteristics. (external link)
2011
- Nilsen, Halvor Møll; Herrera, Paulo; Ashraf, Seyed Meisam et al. (2011). Field-case simulation of CO2-plume migration using vertical-equilibrium models. (external link)
- Aker, Eyvind; Bjørnarå, Tore Ingvald; Braathen, Alvar et al. (2011). SUCCESS: SUbsurface CO2 storage–Critical elements and superior strategy. (external link)
- Pruess, Karsten; Nordbotten, Jan Martin (2011). Numerical Simulation Studies of the Long-term Evolution of a CO2 Plume in a Saline Aquifer with a Sloping Caprock. (external link)
- Nordbotten, Jan Martin; Celia, Michael A. (2011). Geological Storage of CO2: Modeling Approaches for Large-Scale Simulation. (external link)
- Nordbotten, Jan Martin; Dahle, Helge K. (2011). Impact of the capillary fringe in vertically integrated models for CO2 storage. (external link)
- Sandvin, Andreas; Nordbotten, Jan Martin; Aavatsmark, Ivar (2011). Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids. (external link)
- Gasda, Sarah E.; Nordbotten, Jan Martin; Celia, Michael A. (2011). Vertically averaged approaches for CO2 migration with solubility trapping. (external link)
- Celia, Michael A.; Nordbotten, Jan Martin; Court, B et al. (2011). Field-scale application of a semi-analytical model for estimation cif CO2 and brine leakage along old wells. (external link)
- Bringedal, Carina; Berre, Inga; Nordbotten, Jan Martin et al. (2011). Linear and nonlinear convection in porous media between coaxial cylinders. (external link)
- Franz, TE; Nolan, Jay; Nordbotten, Jan Martin et al. (2011). Quantifying Transient Soil Moisture Dynamics Using Multipoint Direct-Current Resistivity in Homogeneous Sand. (external link)
2010
- Aavatsmark, Ivar; Eigestad, Geir Terje; Heimsund, Bjørn-Ove et al. (2010). A new finite-volume approach to efficient discretization on challenging grids. (external link)
- Nordbotten, Jan Martin; Rahman, Talal; Repin, Sergej I. et al. (2010). A posteriori error estimates for approximate solutions of Barenblatt-Biot poroelastic model. (external link)
- Rennermalm, Åsa; Nordbotten, Jan Martin; Wood, Eric F. (2010). Hydrologic variability and its influence on long-term peat dynamics. (external link)
- Franz, Trenton E.; Caylor, Kelly K.; Nordbotten, Jan Martin et al. (2010). An ecohydrological approach to predicting regional woody species distribution patterns in dryland ecosystems. (external link)
- Nordbotten, Jan Martin; Nogues, Juan P.; Celia, Michael A. (2010). Appropriate choice of average pressure for upscaling relative permeability in dynamic flow conditions. (external link)
2009
- Nordbotten, Jan Martin; Hægland, Håkon (2009). On reproducing uniform flow exactly on general hexahedral cells using one degree of freedom per surface. (external link)
- Nordbotten, Jan Martin (2009). Adaptive variational multiscale methods for multiphase flow in porous media. (external link)
- Nordbotten, Jan Martin; Kavetski, Dmitri; Celia, Michael A. et al. (2009). Model for CO2 leakage including multiple geological layers and multiple leaky wells. (external link)
- Nordbotten, Jan Martin (2009). Multiscale methods for multiphase flow in porous media. (external link)
- Celia, Michael A.; Nordbotten, Jan Martin (2009). Practical Modeling Approaches for Geological Storage of Carbon Dioxide. (external link)
- Class, Holger; Ebigbo, Anozie; Helmig, Rainer et al. (2009). A benchmark study on problems related to CO2 storage in geologic formations. Summary and discussion of the results. (external link)
- Gasda, Sarah E.; Nordbotten, Jan Martin; Celia, Michael A. (2009). Vertical Equilibrium with Sub-scale Analytical Methods for Geological CO2 Sequestration. (external link)
- Keilegavlen, Eirik; Nordbotten, Jan Martin; Aavatsmark, Ivar (2009). Sufficient criteria are necessary for monotone control volume methods. (external link)
2008
- Nordbotten, Jan Martin; Celia, Michael A.; Dahle, Helge Ketil et al. (2008). On the definition of macroscale pressure for multiphase flow in porous media. (external link)
- Gasda, Sarah E.; Nordbotten, Jan Martin; Celia, Michael A. (2008). Determining effective wellbore permeability from a field pressure test: a numerical analysis of detection limits. (external link)
- Aavatsmark, Ivar; Eigestad, Geir Terje; Mallison, Brad T. et al. (2008). A compact multipoint flux approximation method with improved robustness. (external link)
- Nordbotten, Jan Martin; Bjørstad, Petter Erling (2008). On the relationship between the multiscale finite-volume method and domain decomposition preconditioners. (external link)
- Nordbotten, Jan Martin (2008). Stability analysis of probabilistic soil moisture dynamics. (external link)
2007
- Nordbotten, Jan Martin; Aavatsmark, Ivar; Eigestad, Geir Terje (2007). Monotonicity of control volume methods. (external link)
- Lie, Johan; Nordbotten, Jan Martin (2007). Inverse scale spaces for nonlinear regularization. (external link)
- Nordbotten, Jan Martin; Rodriguez-Iturbe, Ignacio; Celia, Michael A. (2007). Stochastic coupling of rainfall and biomass dynamics. (external link)
- Nordbotten, Jan Martin; Celia, Michael A.; Dahle, Helge Ketil et al. (2007). Interpretation of macroscale variables in Darcy's law. (external link)
2006
- Nordbotten, Jan Martin; Celia, MA (2006). An improved analytical solution for interface upconing around a well. (external link)
- Nordbotten, Jan Martin; Celia, Michael A. (2006). Similarity solutions for fluid injection into confined aquifers. (external link)
- Nordbotten, Jan Martin; Rodriguez-Iturbe, Ignacio; Celia, Michael A. (2006). Non-uniqueness of evapotranspiration due to spatial heterogeneity of plant species. (external link)
2005
- Nordbotten, Jan Martin; Eigestad, Geir Terje (2005). Discretization on quadrilateral grids with improved monotonicity properties. (external link)
- Nordbotten, Jan Martin; Celia, Michael A.; Bachu, Stefan et al. (2005). Semi-Analytical Solution for CO2 Leakage through an Abandoned Well. (external link)
- Nordbotten, Jan Martin; Celia, Michael A.; Bachu, Stefan (2005). Injection and Storage of CO2 in Deep Saline Aquifers: Analytical Solution for CO2 Plume Evolution During Injection. (external link)
- Nordbotten, Jan Martin; Aavatsmark, Ivar (2005). Monotonicity Conditions for Control Volume Methods on Uniform Parallelogram Grids in Homogeneous Media. (external link)