My main field of work has been mathematical and numerical modeling of flow and transport in porous media. I have made contributions to upscaling from pore- to continuum scale and further to the field scale with an emphasis on understanding of non-equilibrium effects in constitutive relationships. I have also made contributions to the understanding of Lagrangian type schemes for nonlinear advection dominated transport.  

The need to develop practical solutions to the climate crisis has led me to work on CCS (Carbon Capture and Storage) with emphasis on geological storage of CO2. A main challenge to this part of my work has been to derive efficient numerical methods to predict the distribution and migration of a CO2-plume under different storage scenarios, to be used in risk-assessment. Important questions are to derive and identify as physically simple models as possible and still capture the main features of the processes. This work has contributed to new methods used in practical analysis of CO2-storage. Recently I have become involved in projects that look at how site-models can be incorporated into regional scale models covering many licenses.

Over the past fifteen years I have been strongly involved in the academic leadership at the University of Bergen. In the period 2005 to 20010 I served as deputy and acting head at the Department of Mathematics. From 2010 to 2013 I was Vice dean of education and then two periods (2013-2021) as dean of the Faculty of Mathematics and Natural Sciences (now Faculty of Mathematics and Technology). As Dean of the faculty, I was the chief executive of 7 Departments, more than 800 employees, about 3000 students, with a total budget of more than 1100 MNo). I also participated in the Rector’s leader-group.

Returning to ordinary work as professor, from august 2021, I have worked to introduce Team Based Learning-ideas in the teaching of introductory mathematics courses, and to test out new ways of student assessment. As researcher I am involved with the research in the excellent groups on porous media research at University of Bergen and the independent research institution NORCE.

I have long experience as teacher and supervisor at the Department of Mathematics. I have been teaching courses at all levels in mathematics, but with a particular responsibility for introductory level courses.  After my period as Dean, I have been teaching Differential Equations (Mat 131) and Functions of Several Variables (Mat 212). 

Low student retention is a problem in higher education. The causes of high drop out and low retention may be many. However, research on education and experiences from e.g., the Norwegian centers of excellence in education (SFU) demonstrate that the toolbox to increase retention and reduce unnecessary drop out is big, given that we are willing to use it. The goal should of course be that the students learn more providing them confidence to continue their chosen study programs. 

 In the past years I have used ideas from Team Based Learning in the teaching of my courses to reduce drop out. This has been done in collaboration with the SERC-centre (Stem Education Resarch Centre) at the faculty. I have also experimented with forms of assessment in these courses. I strongly believe that student assessment is crucial in the learning process, and that putting all effort into a final exam is not the best we can do.

Poster

• Onal, Eda; Keilegavlen, Eirik; Dahle, Helge K. et al. (2024). Coupling Strategies in Large-Scale Simulations of CO2 Storage. (external link)
• Hægland, Håkon; Dahle, Helge Ketil; Eigestad, Geir Terje et al. (2006). Streamline methods on grids adapting to fractures. (external link)
• Nordbotten, Jan Martin; Celia, Michael A.; Bachu, Stefan et al. (2004). Similarity solutions for CO2 injection in aquifers. (external link)
• Khattri, Sanjay Kumar; Fladmark, Gunnar E; Dahle, Helge Ketil (2004). Numerics of CO2 sequestration. (external link)
• Dahle, Helge Ketil; Nordhaug, Hans Fredrik; Celia, Michael A. et al. (2000). A Two Phase Flow Model Including Dynamics of Interfacial Areas. (external link)
• Nordhaug, Hans Fredrik; Celia, Michael A.; Dahle, Helge Ketil (2000). Two Phase Flow, Interfacial Area and Dynamic Network Modeling. (external link)
• Nordhaug, Hans Fredrik; Celia, Michael A.; Dahle, Helge Ketil (2000). Two phase flow: Two coupled equations for interfacial area and saturation. (external link)
• Brusedal, Kari; Dahle, Helge Ketil; Karlsen, Kenneth Hvistendahl et al. (1997). Operator splitting and an inverse problem for the Buckley-Leverett equation. (external link)

Academic chapter/article/Conference paper

• Gasda, Sarah Eileen; Sandve, Tor Harald; Tveit, Svenn et al. (2024). Quantifying the Impact of Regional-Scale Pressure Interference on Commercial CO2 Storage Targets for Multiple Licenses. (external link)
• Gasda, Sarah Eileen; Gray, William; Dahle, Helge K. (2014). Vertically integrated models with coupled thermal processes. (external link)
• Gasda, Sarah Eileen; Plessis, Elsa du; Dahle, Helge K. (2013). Upscaled models for CO2 injection and migration in geological systems. (external link)
• Dahle, Helge Ketil; Johansen, Torbjørn Ole Widnes; Botnen, Tone et al. (1998). A characteristic domain decomposition method for modelling the flow in a coastal aquifer. (external link)

Editorial

• Helmig, Rainer; Hassanizadeh, S. Majid; Dahle, Helge K. (2016). Foreword: NUPUS: Porous Media Research Has Got a Brand Name. (external link)

Doctoral dissertation

• Zamani, Nematollah; Skauge, Arne; Dahle, Helge K. et al. (2015). Pore Scale Modeling of Polymer Flow Using the Navier-Stokes Approach. (external link)
• Berre, Inga; Dahle, Helge Ketil; Mannseth, Trond et al. (2005). Fast Simulation of Transport and Adaptive Permeability Estimation in Porous Media. (external link)
• Dahle, Helge K. (1989). Adaptive characteristic operator splitting techniques for convection-dominated diffusion problems in one and two space dimensions. (external link)

Lecture

• Gasda, Sarah Eileen; Gray, William; Dahle, Helge K. (2014). Vertically integrated models with coupled thermal processes. (external link)
• Dahle, Helge K. (2012). Kan CO2-lagring på lange tidsskalaer modelleres?. (external link)
• Dahle, Helge Ketil (1998). An Algorithm for Simulating Dynamic Effects in a Pore Scale Network Model of Two Phase Flow. (external link)

Academic lecture

• Gasda, Sarah Eileen; Aavatsmark, Ivar; Stephansen, Annette F. et al. (2013). Upscaled modeling of CO2 injection with coupled thermal processes. (external link)
• Gasda, Sarah Eileen; Andersen, Odd; Nilsen, Halvor Møll et al. (2013). Coupled Thermal Models with Vertical Equilibrium for CO2 storage. (external link)
• Gasda, Sarah Eileen; Dahle, Helge K.; Nordbotten, Jan Martin et al. (2013). Quantifying storage capacity using upscaled models for CO2 storage. (external link)
• Gasda, Sarah Eileen; Nilsen, Halvor Møll; Dahle, Helge K. (2012). Upscaled models for CO2 migration in geological formations with structural heterogeneity. (external link)
• Gasda, Sarah Eileen; Nilsen, Halvor Møll; Dahle, Helge K. et al. (2012). Effective models for CO2 migration in geological systems with varying topography. (external link)
• Gasda, Sarah Eileen; Dahle, Helge K.; Nilsen, Halvor Møll (2012). Upscaled models for CO2 migration. (external link)
• Eikemo, Birgitte; Berre, Inga; Dahle, Helge Ketil et al. (2006). A Discontinuous Galerkin Method for Computing Time-of-Flight in Discrete-Fracture Models. (external link)
• Hægland, Håkon; Lie, Knut-Andreas; Dahle, Helge Ketil et al. (2006). Adaptive Streamline Tracing for Streamline Simulation on Irregular Grids. (external link)
• Nordbotten, Jan Martin; Celia, Michael A.; Dahle, Helge Ketil et al. (2006). On the definition of macro-scale pressure for multi-phase flow in porous media. (external link)
• Hægland, Håkon; Dahle, Helge Ketil; Aavatsmark, Ivar et al. (2006). Adaptive streamline tracing for streamline simulation on irregular grids. (external link)
• Hægland, Håkon; Celia, Michael A.; Dahle, Helge Ketil et al. (2006). Streamline methods on fault adapted grids for risk assessment of storage of CO2 in geological formations. (external link)
• Gielen, Twan; Hassanizadeh, S. Majid; Celia, Michael A. et al. (2004). A pore-scale network approach to investifate dynamic effects in multiphase flow. (external link)
• Dahle, Helge Ketil (2004). Dynamic Effects in Constitutive Relationships for Two-Phase Flow in Porous Media: Insights From and About Bundle of Tubes Models. (external link)
• Celia, Michael A.; Dahle, Helge Ketil; Hassanizadeh, S. Majid (2004). Dynamic Effects in Capillary Pressure Relationships for Two-phase Flow in Porous Media: Insights from Bundle-of-Tubes Models and their Implications. (external link)
• Celia, Michael A.; Bachu, Stefan; Nordbotten, Jan Martin et al. (2004). Quantitative estimation of CO2 leakage from geological storage: Analytical models, numerical models, and data needs. (external link)
• Heimsund, Bjørn-Ove; Dahle, Helge Ketil; Espedal, Magne (2004). Adjoint methods are particle methods: Implications for Eulerian-Langrangian modeling of multiphase multicomponent transport. (external link)
• Dahle, Helge Ketil; Celia, Michael A.; Hassanizadeh, S. Majid (2003). A Bundle of Capillary Tubes Model to Investigate Dynamic Effects in the Capillary-Pressure-Saturation Relationship. (external link)
• Heimsund, Bjørn-Ove; Dahle, Helge Ketil; Espedal, Magne (2003). Eulerian-Lagrangian methods for non-linear advection problems. (external link)
• Dahle, Helge Ketil (2002). Study of Pc-Sw relationship using a dynamic pore-scale network model. (external link)
• Dahle, Helge Ketil (2002). A total pressure-saturation formulation of two-phase flow incorperating dynamic effects in the capillary-pressure-saturation relationship. (external link)
• Dahle, Helge Ketil (2002). Time-of-flight+transport collapse: An alternative to streamlines for two-phase porous media flow with capillary forces. (external link)
• Berre, Inga; Dahle, Helge Ketil; Karlsen, Kenneth Hvistendahl et al. (2002). A streamline front-tracking method for two- and three-phase flow including capillary forces. (external link)
• Dahle, Helge Ketil; Nordhaug, Hans Fredrik; Gray, William G. et al. (2000). A Two Phase Flow Model Including Dynamics of Interfacial Area. (external link)
• Nordhaug, Hans Fredrik; Ask, Ann K.; Dahle, Helge Ketil et al. (2000). A Sketch: Solving a Multidimensional Three Phase Flow Problem. (external link)
• Celia, Michael A.; Dahle, Helge Ketil; Hassanizadeh, S. Majid (2000). Dynamic pore-scale network models for two-phase flow in porous media. (external link)
• Nordhaug, Hans Fredrik; Dahle, Helge Ketil; Espedal, Magne et al. (2000). Two phase flow including interfacial area as a variable. (external link)
• Ask, Ann K.; Dahle, Helge Ketil; Karlsen, Kenneth Hvistendahl et al. (2000). A local streamline Eulerian-Lagrangian method for two-phase flow. (external link)
• Celia, M.A.; Reeves, P.C.; Dahle, Helge Ketil (1998). On the use of pore-scale computational models for two-phase porous media flows. (external link)
• Dahle, Helge Ketil; Celia, M.; Karlsen, Kenneth Hvistendahl (1997). Combining the corrected operator splitting method with streamline computation to solve nonlinear advection-diffusion equations. (external link)
• Tai, Xue-Cheng; Dahle, Helge Ketil; Espedal, Magne (1997). Identification of the discontinuios permability of a one phase flow reservoir by Petrov-Galerkin method. (external link)
• Karlsen, Kenneth Hvistendahl; Dahle, Helge Ketil; Frøyen, J. et al. (1997). Corrected operator splitting for nonlinear advection-diffusion. (external link)
• Dahle, Helge Ketil (1997). Numerisk modellering av strømning i grunnvannsreservoar. (external link)
• Dahle, Helge Ketil; Celia, M.; Hassanizadeh, M. (1997). A dynamic algorithm for simulating two-phase flow in a pore-scale network model. (external link)
• Tai, Xue-Cheng; Johansen, O.W.; Dahle, Helge Ketil et al. (1997). A characteristic domain splitting method. (external link)
• Tai, Xue-Cheng; Johansen, Torbjørn O. W.; Dahle, Helge Ketil et al. (1996). A characteristic domain splitting method. (external link)
• Dahle, Helge Ketil; Johansen, T.O.W.; Botnen, Tone et al. (1996). A characteristic domain decomposition method for modeling flow in a coastal aquifer. (external link)

Academic article

• Gasda, Sarah Eileen; Nilsen, Halvor Møll; Dahle, Helge K. (2013). Impact of structural heterogeneity on upscaled models for large-scale CO2 migration and trapping in saline aquifers. (external link)
• Gasda, Sarah Eileen; Aavatsmark, Ivar; Stephansen, Annette et al. (2013). Upscaled modeling of CO2 injection with coupled thermal processes. (external link)
• Plessis, Elsa du; Nordbotten, Jan Martin; Gasda, Sarah et al. (2013). Influence of capillary pressure and trapping hysteresis on large-scale CO2 migration. (external link)
• Gray, William G.; Herrera, Paulo; Gasda, Sarah Eileen et al. (2012). Derivation of vertical equilibrium models for CO2 migration from pore scale equations. (external link)
• Nordbotten, Jan Martin; Flemisch, Bernd; Gasda, Sarah Eileen et al. (2012). Uncertainties in practical simulation of CO2 storage. (external link)
• Gasda, Sarah Eileen; Nilsen, Halvor Møll; Dahle, Helge K. et al. (2012). Effective models for CO2 migration in geological systems with varying topography. (external link)
• Klausen, Runhild Aae; Mundal, Sissel; Dahle, Helge K. (2011). BARYCENTRIC COORDINATE BASED MIXED FINITE ELEMENTS ON QUADRILATERAL/HEXAHEDRAL MESH. (external link)
• Nilsen, Halvor Møll; Herrera, Paulo; Ashraf, Seyed Meisam et al. (2011). Field-case simulation of CO2-plume migration using vertical-equilibrium models. (external link)
• Nordbotten, Jan Martin; Dahle, Helge K. (2011). Impact of the capillary fringe in vertically integrated models for CO2 storage. (external link)
• Aker, Eyvind; Bjørnarå, Tore Ingvald; Braathen, Alvar et al. (2011). SUCCESS: SUbsurface CO2 storage–Critical elements and superior strategy. (external link)
• Joekar-Niasar, V; Hassanizadeh, S. Majid; Dahle, Helge K. (2010). Non-equilibrium effects in capillarity and interfacial area in two-phase flow: dynamic pore-network modelling. (external link)
• Eikemo, Birgitte; Lie, Knut-Andreas; Eigestad, Geir Terje et al. (2009). Discontinuous Galerkin methods for advective transport in single-continuum models of fractured media. (external link)
• Hægland, Håkon; Assteerrawatt, A.; Dahle, Helge Ketil et al. (2009). Comparison of cell- and vertex-centered discretization methods for flow in a two-dimensional discrete-fracture–matrix system. (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)
• Class, Holger; Dahle, Helge Ketil; Helmig, Rainer (2009). Preface. (external link)
• Eigestad, Geir Terje; Dahle, Helge Ketil; Hellevang, Bjarte et al. (2009). Geological modeling and simulation of CO2 injection in the Johansen formation. (external link)
• 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)
• Hægland, Håkon; Dahle, Helge Ketil; Eigestad, Geir Terje et al. (2007). Improved streamlines and time-of-flight for streamline simulation on irregular grids. (external link)
• Nordbotten, Jan Martin; Celia, Michael A.; Dahle, Helge Ketil et al. (2007). Interpretation of macroscale variables in Darcy's law. (external link)
• Khattri, Sanjay Kumar; Fladmark, Gunnar; Dahle, Helge Ketil (2006). Control Volume Finite Difference On Adaptive Meshes. (external link)
• Dahle, Helge Ketil; Celia, Michael A.; Hassanizadeh, S. Majid (2005). Bundle-of-tubes model for calculating dynamic effects in the capillary-pressure-saturation relationship. (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)
• Aadland, Torbjørn; Aavatsmark, Ivar; Dahle, Helge Ketil (2004). Performance of a flux splitting scheme when solving the single-phase pressure equation discretized by MPFA. (external link)
• Nordhaug, Hans Fredrik; Celia, Michael A.; Dahle, Helge Ketil (2003). A pore network model for calculation of interfacial velocities. (external link)
• Berre, Inga; Dahle, Helge Ketil; Karlsen, Kenneth H. et al. (2002). A streamline front tracking method for two- and three-phase flow including capillary forces. (external link)
• Berre, Inga; Dahle, Helge Ketil; Karlsen, Kenneth H. et al. (2002). Time-of-flight + fast Marching + transport collapse: an alternative to streamlines for tow-phase porous media flow with capillary forces?. (external link)
• Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald et al. (2001). Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies. (external link)
• Dahle, Helge Ketil; Karlsen, Kenneth Hvistendahl; Lie, Knut-A. et al. (2001). Corrected operator splitting for systems of convection-diffusion equations. (external link)
• Hassanizadeh, S. Majid; Celia, Michael A.; Dahle, Helge Ketil (2001). Dynamic effect in the capillary pressure-saturation relationship and its impacts on unsaturated flow. (external link)
• Wang, Hong; Dahle, Helge Ketil; Ewing, Richard E. et al. (1999). An ELLAM Scheme for Advection-Diffusion Equations in Two Dimensions. (external link)
• Dahle, Helge Ketil; Celia, Michael A. (1999). A dynamic network model for two-phase immiscible flow. (external link)
• Wang, Hong; Dahle, Helge Ketil; Ewing, Richard E. et al. (1999). An ELLAM Scheme for advection-diffusion equations in two dimensions. (external link)
• Karlsen, Kenneth Hvistendahl; Brusdal, Kari; Dahle, Helge Ketil et al. (1998). The corrected operator splitting approach applied to a nonlinear advection-diffusion problem. (external link)
• Wang, Hong; Dahle, Helge Ketil; Espedal, Magne et al. (1998). An ELLAM scheme for advection-dispersion equations in two dimensions. (external link)
• Brusdal, Kari; Dahle, Helge Ketil; Karlsen, Kenneth Hvistendahl et al. (1998). A study of the modelling error in two operator splitting algorithms f or porous media flow. (external link)
• Kvam, Gunnar; Dahle, Helge Ketil; Nordrehaug, J.E. et al. (1997). The shortening fraction of myocardial fibers and its layered distribution, as derived from cine-MR imaged left ventriculograms - An approach for evaluating globar left ventricular function. (external link)
• Karlsen, Kenneth Hvistendahl; Brusdal, Kari; Dahle, Helge Ketil et al. (1997). The corrected operator splitting approach to a nonlinear advection-diffusion problem. (external link)
• Våg, Jan Einar; Wang, Hong; Dahle, Helge Ketil (1996). Eulerian-Lagrangian localized adjoint methods for systems of nonlinear advective-diffusive-reactive equations. (external link)
• Dahle, Helge Ketil; Ewing, Richard E.; Russell, Thomas F. (1995). Eulerian-Lagrangian localized adjoint methods for a nonlinear advection-diffusion equation. (external link)

Reader opinion piece

• Berre, Inga; Dahle, Helge K.; Karlsen, Kenneth Hvistendahl et al. (2012). Magne Espedal Memorial Issue. (external link)

Masters thesis

• El-Faour, Bassel; Dahle, Helge K.; Nordbotten, Jan Martin et al. (2010). On the use of vertically averaged models to simulate CO2 migration in a layered saline aquifer. (external link)
• Mykkeltvedt, Trine; Dahle, Helge K.; Nordbotten, Jan Martin (2010). Modeling Dissolution within Vertically Averaged Formulations. (external link)
• Dahle, Helge Ketil (1985). Trykkeffektar på tearingmoden: Ein kollisjonsdominert to-væske modell. (external link)

Feature article

• Nordbotten, Jan Martin; Dahle, Helge Ketil (2008). Utopiske Greenpeace. (external link)

Report

• Binning, Philip; Engesgaard, Peter; Dahle, Helge Ketil et al. (2006). Proceedings of the XVI International Conference on Computational Methods in Water Resources. (external link)
• Dahle, Helge Ketil; Celia, Michael A.; Hassanizadeh, S. Majid (2003). Bundle-of-Tubes Model for Calculating Dynamic Effects in the Capillary-Pressure-Saturation relationship. (external link)
• Brusdal, Kari; Dahle, Helge Ketil; Karlsen, Kenneth Hvistendahl et al. (1997). A study of the modelling error in two operator splitting algorithms for porous media flow. (external link)
• Dahle, Helge Ketil; Oien, Alf (1995). ELLAM-based operator splitting for nonlinear advection diffusion equations. (external link)
• Dahle, Helge Ketil (1988). Adaptive characteristic operator splitting techniques for convectiondominated diffusion problems in one and two space dimensions. (external link)

Article in business/trade/industry journal

• Aavatsmark, Ivar; Dahle, Helge K. (2004). Performance of a flux splitting scheme when solving the single-phase pressure equation discretized by MPFA. (external link)

Popular scientific article

• Dahle, Helge Ketil (2002). Grunnvatn og matematikk. (external link)

See a complete overview of publications in Cristin.

Prosjektleiing 2005-

• Project leader (together with Bjørn Kvamme) Safe long terms storage of CO2 in aquifers  (Financed by The Research Council of Norway, Statoil and Norsk Hydro, ca. 13 MNoK, 2003-2006)
• Project leader for the project Geological storage of CO2: Mathmatical Modelling and Risk Assessment (MatMoRA) (KMB-project Financed by The Research Council of Norway, Statoil, Norske Shell, and Norsk Hydro, ca. 20 MNoK, 2007-2011)
• Project leader Development and analysis of Vertically Averaged Models in Porous Media (VAMP) (Financed by The Research Council of Norway, ca. 4 MNoK, 2010-13)
• Project leader for the project Geological storage of CO2: Mathmatical Modelling and Risk Assessment (MatMoRA-II) (Partners: UiB, Uni Research, SINTEF IKT, NGI) KPN-project Financed by The Research Council of Norway and Statoil, ca. 21 MNoK, 2012-2015)
• Project leader for the project International Research Training group NUPUS Non-linearities and Upscaling in Porous Media Flow This is the Norwegian part of an international research school with main partners at University of Stuttgart and University of Utrecht (Researcher project financed by  CLIMIT, ca. 1.2 MNoK).

 

Prosjektdeltaking 2005-

• Direct Reservoir Simulation on Geocellular Models (Geoscale, 2004-2007),
• Centre for Integrated petroleum Research (Cipr, 2002-2012),
• SUbsurface CO2 storage - Critical Elements and Superior Strategy (Success, 2010-2018),
• Non-linearities and upscaling in porous media (Nupus, 2011-2015)
• Expansion of Resources for CO2 Storage on the Horda Platform (ExpReCCS) (2022-2026)
• Multiscale Pressure-Stress Impacts on fault integrity for multi-site regional CO2 storage hubs (MuPSI) (2024-2027)