Helge K.
Dahle
Dean
Visit Address:
Realfagbygget, Allegaten 41, 4 etg. sør
Bergen
Room:
4A13d
Postal Address:
Postboks 7803
5020 Bergen
Phone:
+47 55 58 48 56
+47 452 49 795
E-mail:
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.
Journal articles
- 2013. Upscaled modeling of CO2 injection with coupled thermal processes. Energy Procedia. 37: 384-391. doi: 10.1016/j.egypro.2013.08.044
- 2013. Impact of structural heterogeneity on upscaled models for large-scale CO2 migration and trapping in saline aquifers. Advances in Water Resources. 62: 520-532. doi: 10.1016/j.advwatres.2013.05.003
- 2012. Magne Espedal Memorial Issue. International Journal of Numerical Analysis & Modeling. 9: I-II.
- 2012. Effective models for CO2 migration in geological systems with varying topography. Water resources research. 48. 17 pages. doi: 10.1029/2012WR012264
- 2012. Derivation of vertical equilibrium models for CO2 migration from pore scale equations. International Journal of Numerical Analysis & Modeling. 9: 745-776.
- 2012. Uncertainties in practical simulation of CO2 storage. International Journal of Greenhouse Gas Control. 9: 234-242. doi: 10.1016/j.ijggc.2012.03.007
- 2011. SUCCESS: SUbsurface CO2 storage–Critical elements and superior strategy. Energy Procedia. 4: 6117-6124. doi: 10.1016/j.egypro.2011.02.619
- 2011. BARYCENTRIC COORDINATE BASED MIXED FINITE ELEMENTS ON QUADRILATERAL/HEXAHEDRAL MESH. International Journal of Numerical Analysis & Modeling. 8: 584-598.
- 2011. Field-case simulation of CO2-plume migration using vertical-equilibrium models. Energy Procedia. 4: 3801-3808. doi: 10.1016/j.egypro.2011.02.315
- 2011. Impact of the capillary fringe in vertically integrated models for CO2 storage. Water resources research. 47. doi: 10.1029/2009WR008958
- 2010. Non-equilibrium effects in capillarity and interfacial area in two-phase flow: dynamic pore-network modelling. Journal of Fluid Mechanics. 655: 38-71. doi: 10.1017/S0022112010000704
- 2009. A benchmark study on problems related to CO2 storage in geologic formations. Summary and discussion of the results. Computational Geosciences. 13: 409-434. doi: 10.1007/s10596-009-9146-x
- 2009. Geological modeling and simulation of CO2 injection in the Johansen formation. Computational Geosciences. 13: 435-450. doi: 10.1007/s10596-009-9153-y
- 2009. Discontinuous Galerkin methods for advective transport in single-continuum models of fractured media. Advances in Water Resources. 32: 493-506. doi: 10.1016/j.advwatres.2008.12.010
- 2009. Comparison of cell- and vertex-centered discretization methods for flow in a two-dimensional discrete-fracture–matrix system. Advances in Water Resources. 32: 1740-1755. doi: 10.1016/j.advwatres.2009.09.006
- 2008. On the definition of macroscale pressure for multiphase flow in porous media. Water resources research. 44. 8 pages. doi: 10.1029/2006WR005715
- 2008. Utopiske Greenpeace. Dagbladet.
- 2007. Improved streamlines and time-of-flight for streamline simulation on irregular grids. Advances in Water Resources. 30: 1027-1045. doi: 10.1016/j.advwatres.2006.09.002
- 2007. Interpretation of macroscale variables in Darcy's law. Water resources research. 43. 9 pages. doi: 10.1029/2006WR005018
- 2006. Control Volume Finite Difference On Adaptive Meshes. Lecture Notes in Computational Science and Engineering.
- 2005. Bundle-of-tubes model for calculating dynamic effects in the capillary-pressure-saturation relationship. Transport in Porous Media. 58: 5-22.
- 2005. Semi-Analytical Solution for CO2 Leakage through an Abandoned Well. Environmental Science and Technology. 39: 602-611. doi: 10.1021/es035338i
- 2004. Performance of a flux splitting scheme when solving the single-phase pressure equation discretized by MPFA. Computational Geosciences. 8: 325-340. doi: 10.1007/s10596-004-3774-y
- 2003. A pore network model for calculation of interfacial velocities. Advances in Water Resources. 26: 1061-1074.
- 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. 47: 995-1002.
- 2002. A streamline front tracking method for two- and three-phase flow including capillary forces. Contemporary Mathematics. 295: 49-61.
- 2002. Grunnvatn og matematikk. QED Fakultetsavisa for Det matematisk-naturvitenskapelige fakultet. 4: 6-7.
- 2001. Corrected operator splitting for systems of convection-diffusion equations. MANGLER.
- 2001. Dynamic effect in the capillary pressure-saturation relationship and its impacts on unsaturated flow. http://www.vadosezonejournal.org/cgi/content/.
- 2001. Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies. Journal of Computational Physics. 173: 636-663.
- 1999. A dynamic network model for two-phase immiscible flow. Computational Geosciences. 1-22.
- 1999. An ELLAM Scheme for advection-diffusion equations in two dimensions. SIAM Journal on Scientific Computing. 2160-2194.
- 1999. An ELLAM Scheme for Advection-Diffusion Equations in Two Dimensions. SIAM Journal on Scientific Computing. 2160-2194.
- 1998. A study of the modelling error in two operator splitting algorithms f or porous media flow. Computational Geosciences. 2: 23-26.
- 1998. The corrected operator splitting approach applied to a nonlinear advection-diffusion problem. Computer Methods in Applied Mechanics and Engineering. 167: 239-260.
- 1998. An ELLAM scheme for advection-dispersion equations in two dimensions. SIAM Journal on Scientific Computing.
- 1997. The corrected operator splitting approach to a nonlinear advection-diffusion problem. Applied Mathematics Report. April.
- 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. 38: 391-399.
- 1996. Eulerian-Lagrangian localized adjoint methods for systems of nonlinear advective-diffusive-reactive equations. Advances in Water Resources. 19: 297-315.
- 1995. Eulerian-Lagrangian localized adjoint methods for a nonlinear advection-diffusion equation. Computer Methods in Applied Mechanics and Engineering. 122: 223-250.
Reports and theses
- 2006. Proceedings of the XVI International Conference on Computational Methods in Water Resources. The proceedings is published on permanent digital public archive maintained by the Technical University of Denmark (DTU). 1800 pages.
- 2003. Bundle-of-Tubes Model for Calculating Dynamic Effects in the Capillary-Pressure-Saturation relationship. MANGLER, Submitted to Transport in Porous Media.
- 1997. A study of the modelling error in two operator splitting algorithms for porous media flow. Report. 112. Dept of Applied Mathemathics UiB.
- 1995. ELLAM-based operator splitting for nonlinear advection diffusion equations. Report series in Applied Mathematics. 98. Department of Mathematics. 16 pages.
- 1989. Adaptive characteristic operator splitting techniques for convection-dominated diffusion problems in one and two space dimensions.
- 1988. Adaptive characteristic operator splitting techniques for convectiondominated diffusion problems in one and two space dimensions. Reports Published by the Department of Applied Mathematics. 85. UiB-MatNat: Matematisk institutt.
- 1985. Trykkeffektar på tearingmoden: Ein kollisjonsdominert to-væske modell.
Book sections
- 2013. Upscaled models for CO2 injection and migration in geological systems. chapter. In:
- 2013. Simulation of Flow in Porous Media (Radon Series on Computational and Applied Mathematics). Walter de Gruyter. 213 pages. ISBN: 978-3110282214.
- 2012. Upscaled models for CO2 migration in geological formations with structural heterogeneity. B35. In:
- 2012. ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery, Biarritz, France, 10-13 September 2012. Extended Abstracts USB. European Association of Geoscientists and Engineers. 800 pages. ISBN: 978-90-73834-30-9.
- 2000. A Local Streamline Eulerian-Lagrangian Method for Two-Phase Flow. Konferanseabstract i rapport, pages 645-650. In:
- 2000. Computational methods in water resources XIII : proceedings of the XIII International Conference on Computational Methods in Water Resources, Calgary, Alberta, Canada, 25-29 June 2000. The XIII international conference on computational methods in water resources, Calgary, Alberta, Canada. 700 pages.
- 2000. Two phase flow including interfacial area as a variable. Konferanseabstract i rapport, pages 231-238. In:
- 2000. Computational methods in water resources XIII : proceedings of the XIII International Conference on Computational Methods in Water Resources, Calgary, Alberta, Canada, 25-29 June 2000. The XIII international conference on computational methods in water resources, Calgary, Alberta, Canada. 700 pages.
- 1998. A characteristic domain decomposition method for modelling the flow in a coastal aquifer. 12, pages 698-705. In:
- 1998. Domain decomposition methods in science and engineering.
More information in national current research information system (CRIStin)