Home
  • E-mailHelge.Dahle@uib.no
  • Phone+47 55 58 48 56+47 452 49 795
  • Visitor Address
    Realfagbygget, Allegaten 41, 4 etg. sør
    Bergen
    Room 
    4A13d
  • Postal Address
    Postboks 7803
    5020 Bergen

My main field of work has been related to mathematical and numerical modeling of flow and transport in porous media. In my research work. I have been interested in up-scaling from pore- to continuum scale and further to field scale. A particular topic of interest has been Lagrangian-type methods for advection-dominated (hyperbolic) transport. I have also been interested in pore-scale modeling. More recently, I have worked on modeling of geological storage of CO2. A main challenge has been to derive efficient numerical methods to predict the distribution and migration of a CO2-plume under different storage scenarios. Important questions are to derive and identify as physically simple models as possible, and still capture the main features of the processes.

Academic article
  • Show author(s) (2013). Upscaled modeling of CO2 injection with coupled thermal processes. Energy Procedia. 384-391.
  • Show author(s) (2013). Influence of capillary pressure and trapping hysteresis on large-scale CO2 migration. Journal of Coupled Systems and Multiscale Dynamics. 442-458.
  • Show author(s) (2013). Impact of structural heterogeneity on upscaled models for large-scale CO2 migration and trapping in saline aquifers. Advances in Water Resources. 520-532.
  • Show author(s) (2012). Uncertainties in practical simulation of CO2 storage. International Journal of Greenhouse Gas Control. 234-242.
  • Show author(s) (2012). Effective models for CO2 migration in geological systems with varying topography. Water Resources Research. 17 pages.
  • Show author(s) (2012). Derivation of vertical equilibrium models for CO2 migration from pore scale equations. International Journal of Numerical Analysis & Modeling. 745-776.
  • Show author(s) (2011). SUCCESS: SUbsurface CO2 storage–Critical elements and superior strategy. Energy Procedia. 6117-6124.
  • Show author(s) (2011). Impact of the capillary fringe in vertically integrated models for CO2 storage. Water Resources Research.
  • Show author(s) (2011). Field-case simulation of CO2-plume migration using vertical-equilibrium models. Energy Procedia. 3801-3808.
  • Show author(s) (2011). BARYCENTRIC COORDINATE BASED MIXED FINITE ELEMENTS ON QUADRILATERAL/HEXAHEDRAL MESH. International Journal of Numerical Analysis & Modeling. 584-598.
  • Show author(s) (2010). Non-equilibrium effects in capillarity and interfacial area in two-phase flow: dynamic pore-network modelling. Journal of Fluid Mechanics. 38-71.
  • Show author(s) (2009). Preface. Computational Geosciences. 405-407.
  • Show author(s) (2009). Geological modeling and simulation of CO2 injection in the Johansen formation. Computational Geosciences. 435-450.
  • Show author(s) (2009). Discontinuous Galerkin methods for advective transport in single-continuum models of fractured media. Advances in Water Resources. 493-506.
  • Show author(s) (2009). Comparison of cell- and vertex-centered discretization methods for flow in a two-dimensional discrete-fracture–matrix system. Advances in Water Resources. 1740-1755.
  • Show author(s) (2009). A benchmark study on problems related to CO2 storage in geologic formations. Summary and discussion of the results. Computational Geosciences. 409-434.
  • Show author(s) (2008). On the definition of macroscale pressure for multiphase flow in porous media. Water Resources Research. 8 pages.
  • Show author(s) (2007). Interpretation of macroscale variables in Darcy's law. Water Resources Research. 9 pages.
  • Show author(s) (2007). Improved streamlines and time-of-flight for streamline simulation on irregular grids. Advances in Water Resources. 1027-1045.
  • Show author(s) (2006). Control Volume Finite Difference On Adaptive Meshes. Lecture Notes in Computational Science and Engineering.
  • Show author(s) (2005). Semi-Analytical Solution for CO2 Leakage through an Abandoned Well. Environmental Science and Technology. 602-611.
  • Show author(s) (2005). Bundle-of-tubes model for calculating dynamic effects in the capillary-pressure-saturation relationship. Transport in Porous Media. 5-22.
  • Show author(s) (2004). Performance of a flux splitting scheme when solving the single-phase pressure equation discretized by MPFA. Computational Geosciences. 325-340.
  • Show author(s) (2003). A pore network model for calculation of interfacial velocities. Advances in Water Resources. 1061-1074.
  • Show author(s) (2002). Time-of-flight + fast Marching + transport collapse: an alternative to streamlines for tow-phase porous media flow with capillary forces? Developments in Water Science. 995-1002.
  • Show author(s) (2002). A streamline front tracking method for two- and three-phase flow including capillary forces. Contemporary Mathematics. 49-61.
  • Show author(s) (2001). Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies. Journal of Computational Physics. 636-663.
  • Show author(s) (2001). Dynamic effect in the capillary pressure-saturation relationship and its impacts on unsaturated flow. http://www.vadosezonejournal.org/cgi/content/.
  • Show author(s) (2001). Corrected operator splitting for systems of convection-diffusion equations. MANGLER.
  • Show author(s) (1999). An ELLAM Scheme for advection-diffusion equations in two dimensions. SIAM Journal on Scientific Computing. 2160-2194.
  • Show author(s) (1999). An ELLAM Scheme for Advection-Diffusion Equations in Two Dimensions. SIAM Journal on Scientific Computing. 2160-2194.
  • Show author(s) (1999). A dynamic network model for two-phase immiscible flow. Computational Geosciences. 1-22.
  • Show author(s) (1998). The corrected operator splitting approach applied to a nonlinear advection-diffusion problem. Computer Methods in Applied Mechanics and Engineering. 239-260.
  • Show author(s) (1998). An ELLAM scheme for advection-dispersion equations in two dimensions. SIAM Journal on Scientific Computing.
  • Show author(s) (1998). A study of the modelling error in two operator splitting algorithms f or porous media flow. Computational Geosciences. 23-26.
  • Show author(s) (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. Acta Radiologica. 391-399.
  • Show author(s) (1997). The corrected operator splitting approach to a nonlinear advection-diffusion problem. Applied Mathematics Report.
  • Show author(s) (1996). Eulerian-Lagrangian localized adjoint methods for systems of nonlinear advective-diffusive-reactive equations. Advances in Water Resources. 297-315.
  • Show author(s) (1995). Eulerian-Lagrangian localized adjoint methods for a nonlinear advection-diffusion equation. Computer Methods in Applied Mechanics and Engineering. 223-250.
Report
  • Show author(s) (2006). Proceedings of the XVI International Conference on Computational Methods in Water Resources. .
  • Show author(s) (2003). Bundle-of-Tubes Model for Calculating Dynamic Effects in the Capillary-Pressure-Saturation relationship. .
  • Show author(s) (1997). A study of the modelling error in two operator splitting algorithms for porous media flow. 112. 112. .
  • Show author(s) (1995). ELLAM-based operator splitting for nonlinear advection diffusion equations. 98. 98. .
  • Show author(s) (1988). Adaptive characteristic operator splitting techniques for convectiondominated diffusion problems in one and two space dimensions. 85. 85. .
Lecture
  • Show author(s) (2014). Vertically integrated models with coupled thermal processes.
  • Show author(s) (2012). Kan CO2-lagring på lange tidsskalaer modelleres?
Popular scientific lecture
  • Show author(s) (1998). An Algorithm for Simulating Dynamic Effects in a Pore Scale Network Model of Two Phase Flow.
Academic lecture
  • Show author(s) (2013). Upscaled modeling of CO2 injection with coupled thermal processes.
  • Show author(s) (2013). Quantifying storage capacity using upscaled models for CO2 storage.
  • Show author(s) (2013). Coupled Thermal Models with Vertical Equilibrium for CO2 storage.
  • Show author(s) (2012). Upscaled models for CO2 migration in geological formations with structural heterogeneity.
  • Show author(s) (2012). Upscaled models for CO2 migration.
  • Show author(s) (2012). Effective models for CO2 migration in geological systems with varying topography.
  • Show author(s) (2006). Streamline methods on fault adapted grids for risk assessment of storage of CO2 in geological formations.
  • Show author(s) (2006). On the definition of macro-scale pressure for multi-phase flow in porous media.
  • Show author(s) (2006). Adaptive streamline tracing for streamline simulation on irregular grids.
  • Show author(s) (2006). Adaptive Streamline Tracing for Streamline Simulation on Irregular Grids.
  • Show author(s) (2006). A Discontinuous Galerkin Method for Computing Time-of-Flight in Discrete-Fracture Models.
  • Show author(s) (2004). Quantitative estimation of CO2 leakage from geological storage: Analytical models, numerical models, and data needs.
  • Show author(s) (2004). Dynamic Effects in Constitutive Relationships for Two-Phase Flow in Porous Media: Insights From and About Bundle of Tubes Models.
  • Show author(s) (2004). Dynamic Effects in Capillary Pressure Relationships for Two-phase Flow in Porous Media: Insights from Bundle-of-Tubes Models and their Implications.
  • Show author(s) (2004). Adjoint methods are particle methods: Implications for Eulerian-Langrangian modeling of multiphase multicomponent transport.
  • Show author(s) (2004). A pore-scale network approach to investifate dynamic effects in multiphase flow.
  • Show author(s) (2003). Eulerian-Lagrangian methods for non-linear advection problems.
  • Show author(s) (2003). A Bundle of Capillary Tubes Model to Investigate Dynamic Effects in the Capillary-Pressure-Saturation Relationship.
  • Show author(s) (2002). Time-of-flight+transport collapse: An alternative to streamlines for two-phase porous media flow with capillary forces.
  • Show author(s) (2002). Study of Pc-Sw relationship using a dynamic pore-scale network model.
  • Show author(s) (2002). A total pressure-saturation formulation of two-phase flow incorperating dynamic effects in the capillary-pressure-saturation relationship.
  • Show author(s) (2002). A streamline front-tracking method for two- and three-phase flow including capillary forces.
  • Show author(s) (2000). Two phase flow including interfacial area as a variable.
  • Show author(s) (2000). Dynamic pore-scale network models for two-phase flow in porous media.
  • Show author(s) (2000). A local streamline Eulerian-Lagrangian method for two-phase flow.
  • Show author(s) (2000). A Two Phase Flow Model Including Dynamics of Interfacial Area.
  • Show author(s) (2000). A Sketch: Solving a Multidimensional Three Phase Flow Problem.
  • Show author(s) (1998). On the use of pore-scale computational models for two-phase porous media flows.
  • Show author(s) (1997). Numerisk modellering av strømning i grunnvannsreservoar.
  • Show author(s) (1997). Identification of the discontinuios permability of a one phase flow reservoir by Petrov-Galerkin method.
  • Show author(s) (1997). Corrected operator splitting for nonlinear advection-diffusion.
  • Show author(s) (1997). Combining the corrected operator splitting method with streamline computation to solve nonlinear advection-diffusion equations.
  • Show author(s) (1997). A dynamic algorithm for simulating two-phase flow in a pore-scale network model.
  • Show author(s) (1997). A characteristic domain splitting method.
  • Show author(s) (1996). A characteristic domain splitting method.
  • Show author(s) (1996). A characteristic domain decomposition method for modeling flow in a coastal aquifer.
Editorial
  • Show author(s) (2016). Foreword: NUPUS: Porous Media Research Has Got a Brand Name. Transport in Porous Media. 235-236.
Reader opinion piece
  • Show author(s) (2012). Magne Espedal Memorial Issue. International Journal of Numerical Analysis & Modeling. I-II.
Thesis at a second degree level
  • Show author(s) (1985). Trykkeffektar på tearingmoden: Ein kollisjonsdominert to-væske modell.
Masters thesis
  • Show author(s) (2010). On the use of vertically averaged models to simulate CO2 migration in a layered saline aquifer.
  • Show author(s) (2010). Modeling dissolution within vertically averaged formulations.
Popular scientific article
  • Show author(s) (2002). Grunnvatn og matematikk. QED Fakultetsavisa for Det matematisk-naturvitenskapelige fakultet. 6-7.
Feature article
  • Show author(s) (2008). Utopiske Greenpeace. Dagbladet.
Doctoral dissertation
  • Show author(s) (2015). Pore Scale Modeling of Polymer Flow Using the Navier-Stokes Approach.
  • Show author(s) (2005). Fast Simulation of Transport and Adaptive Permeability Estimation in Porous Media.
  • Show author(s) (1989). Adaptive characteristic operator splitting techniques for convection-dominated diffusion problems in one and two space dimensions.
Academic chapter/article/Conference paper
  • Show author(s) (2014). Vertically integrated models with coupled thermal processes. -1234 pages.
  • Show author(s) (2013). Upscaled models for CO2 injection and migration in geological systems.
  • Show author(s) (1998). A characteristic domain decomposition method for modelling the flow in a coastal aquifer. 8 pages.
Other
  • Show author(s) (2012). Upscaled models for CO2 migration in geological formations with structural heterogeneity.
  • Show author(s) (2000). Two phase flow including interfacial area as a variable. 231-238.
  • Show author(s) (2000). A Local Streamline Eulerian-Lagrangian Method for Two-Phase Flow. 645-650.
Poster
  • Show author(s) (2006). Streamline methods on grids adapting to fractures.
  • Show author(s) (2004). Similarity solutions for CO2 injection in aquifers.
  • Show author(s) (2004). Numerics of CO2 sequestration.
  • Show author(s) (2000). Two phase flow: Two coupled equations for interfacial area and saturation.
  • Show author(s) (2000). Two Phase Flow, Interfacial Area and Dynamic Network Modeling.
  • Show author(s) (2000). A Two Phase Flow Model Including Dynamics of Interfacial Areas.
  • Show author(s) (1997). Operator splitting and an inverse problem for the Buckley-Leverett equation.
Article in business/trade/industry journal
  • Show author(s) (2004). Performance of a flux splitting scheme when solving the single-phase pressure equation discretized by MPFA. Computational Geosciences.

More information in national current research information system (CRIStin)