GeoScale - Direct Reservoir Simulation on Geocellular Models

Journal Papers

In press

  1. F. O. Alpak, M. Pal, and K.-A. Lie. A multiscale method for modeling flow in stratigraphically complex reservoirs. SPE J., to appear.
  2. H. M. Nilsen, K.-A. Lie, and J. R. Natvig. Accurate modelling of faults by multipoint, mimetic, and mixed methods. SPE J., to appear, DOI: 10.2118/149690-PA.


  1. K.-A. Lie, J. R. Natvig, and H. M. Nilsen. Discussion of dynamics and operator splitting techniques for two-phase flow with gravity. Int. J Numer. Anal. Mod. (Special issue in memory of Magne Espedal), Vol. 9, No. 3, pp. 684-700, 2012.
  2. R. A. Klausen, A. F. Rasmussen, and A. F. Stephansen. Velocity interpolation and streamline tracing on irregular geometries. Comput. Geosci., Vol. 16, No. 2, pp. 261-276, 2012. DOI: 10.1007/s10596-011-9256-0.
  3. K.-A. Lie, S. Krogstad, I. S. Ligaarden, J. R. Natvig, H. M. Nilsen, and B. Skaflestad. Open source MATLAB implementation of consistent discretisations on complex grids. Comput. Geosci., Vol. 16, No. 2, pp. 297-322, 2012. DOI: 10.1007/s10596-011-9244-4.
  4. V. L. Hauge, K.-A. Lie, and J. R. Natvig. Flow-based coarsening for multiscale simulation of transport in porous media. Comput. Geosci.,  Vol. 16, No. 2, pp. 391-408, 2012. DOI: 10.1007/s10596-011-9230-x


  1. J. R. Natvig, B. Skaflestad, F. Bratvedt, K. Bratvedt, K.-A. Lie, V. Laptev, and S. K. Khataniar. Multiscale mimetic solvers for efficient streamline simulation of fractured reservoirs. SPE J., Vol. 16, No. 4, pp. 880-880, 2011. DOI: 10.2118/119132-PA.
  2. M. Krokiewski, I. Ligaarden, K.-A. Lie, D. W. Schmid. On the importance of the Stokes-Brinkman equations for computing effective permeability in carbonate karst reservoirs.Comm. Comput. Phys, Vol. 10, No. 5, pp. 1315-1332. DOI: 10.4208/cicp.290610.020211a
  3. S. Krogstad, V. L. Hauge, and A. F. Gulbransen. Adjoint multiscale mixed finite elements. SPE J., Vol. 16, No. 1, pp. 162-171, 2011. DOI: 10.2118/119112-PA.


  1. A. F. Gulbransen, V. L. Hauge, and K.-A. Lie. A multiscale mixed finite-element method for vuggy and naturally-fractured reservoirs. SPE J., Vol. 15, No. 12, pp. 395-403, 2010.  DOI: 10.2118/119104-PA.


  1. S. Krogstad and L. J. Durlofsky. Multiscale mixed-finite-element modeling of coupled wellbore/near-well flow. SPE J., Vol. 14, No. 1, pp. 78-87, March 2009. DOI: 10.2118/106179-PA.
  2. B. Eikemo, K.-A. Lie, H.K. Dahle, and G.T. Eigestad.  A discontinuous Galerkin method for transport in fractured media using unstructured triangular grids. Adv. Water Resour., Vol. 32, Issue 4, April 2009, pp. 493-506, DOI: 10.1016/j.advwatres.2008.12.010.
  3. V. R. Stenerud, K.-A. Lie, and V. Kippe. Generalized travel-time inversion on unstructured grids. J. Pet. Sci. Eng. Vol. 65, Issues 3-4, pp. 175-187, 2009. DOI: 10.1016/j.petrol.2008.12.030.
  4. V. L. Hauge and J. E. Aarnes. Modeling of fractured two-phase flow in fractured porous media on unstructured non-uniform coarse grids. Transport in Porous Media, Vol. 77, No. 3 / April, pp. 373-398, 2009. DOI: 10.1007/s11242-008-9284-y.


  1. J. R. Natvig and K.-A. Lie. Fast computation of multiphase flow in porous media by implicit discontinuous Galerkin schemes with optimal ordering of elements. J. Comput. Phys, Volume 227, Issue 24, pp. 10108-10124, 2008. DOI: 10.1016/
  2. J.E. Aarnes and Y. Efendiev. Mixed multiscale finite element for stochastic porous media flows.  SIAM J. Sci. Comp., Volume 30, Issue 5, pp. 2319-2339, 2008. DOI: 10.1137/07070108X.
  3. V. Kippe, J. E. Aarnes, and K.-A. Lie. A comparison of multiscale methods for elliptic problems in porous media flow. Computational Geosciences, Vol. 12, No. 3, pp. 377-398, 2008. DOI: 10.1007/s10596-007-9074-6
  4. J. E. Aarnes, S. Krogstad, and K.-A. Lie. Multiscale mixed/mimetic methods on corner-point grids. Computational Geosciences, Vol. 12, No. 3, pp. 297-315, 2008.  DOI: 10.1007/s10596-007-9072-8
  5. J. E. Aarnes, Y. Efendiev, and L. Jiang. Mixed multiscale finite element methods using limited global information. Multiscale Modelling and Simulation, Volume 7, Issue 2, pp. 655-676, 2008. DOI: 10.1137/070688481
  6. J.E. Aarnes and Y. Efendiev. A multiscale method for modeling transport in porous media on unstructured corner-point grids. Journal of Algorithms and Computational Technology, Volume 2, Number 2, pp. 299-318, 2008. DOI: 10.1260/174830108784646616
  7. V. R. Stenerud, V. Kippe, K.-A. Lie, and A. Datta-Gupta. Adaptive multiscale streamline simulation and inversion for high-resolution geomodels.  SPE J., Vol. 13, No. 1/March, pp. 99--111, 2008. DOI: 10.2118/106228-PA.
  8. R. Juanes and K.-A. Lie. Numerical modeling of multiphase first-contact miscible flows. Part 2. Front-tracking and streamline simulation. Transport in Porous Media, Vol. 72, No. 1/March, pp. 97-120, 2008.  DOI: 10.1007/s11242-007-9139-y


  1. J. R. Natvig, K.-A. Lie, B. Eikemo, and I. Berre. An efficient discontinous Galerkin method for advective transport in porous media. Advances in Water Resources, Vol. 30, Issue 12, December 2007, pp. 2424-2438. DOI: 10.1016/j.advwatres.2007.05.015
  2. J. E. Aarnes, V. L. Hauge, and Y. Efendiev. Coarsening of three-dimensional structured and unstructured grids for subsurface flow. Advances in Water Resources, Vol. 30, Issue 11, November 2007, pp. 2177-2193. DOI: 10.1016/j.advwatres.2007.04.007
  3. R. Juanes and K.-A. Lie. Numerical modeling of multiphase first-contact miscible flows. Part 1. Analytical Riemann solver. Transport in Porous Media, Vol. 67, No. 3 / April, pp. 375-393, 2007. DOI: 10.1007/s11242-006-9031-1.
  4. H. Hægland, H. K. Dahle, G. T. Eigestad, K.-A. Lie, and I. Aavatsmark. Improved streamlines and time-of-flight for streamline simulation on irregular grids. Advances in Water Resources, Volume 30, Issue 4, pp. 1027-1045, 2007. DOI: 10.1016/j.advwatres.2006.09.002.


  1. J. E. Aarnes and Y. Efendiev. An adaptive multiscale method for simulation of fluid flow in heterogeneous porous media. Multiscale Modelling and Simulation, Vol. 5, No. 3, pp. 918-939, 2006. DOI: 10.1137/050645117.
  2. J. E. Aarnes, S. Krogstad, and K.-A. Lie. A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids, Multiscale Modelling and Simulation, Vol. 5, No. 2, pp. 337-363, 2006. DOI: 10.1137/050634566.
  3. K.-A. Lie and R. Juanes. A front-tracking method for the simulation of three-phase flow in porous media. Computational Geosciences, Vol. 9, No. 1, pp. 29-59, March 2005. DOI: 10.1007/s10596-005-5663-4.
  4. J. E. Aarnes, V. Kippe, and K.-A. Lie. Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels. Advances in Water Resources, Vol. 28, Issue 3, pp. 257-271, 2005. DOI: 10.1016/j.advwatres.2004.10.007
  5. J. E. Aarnes. Efficient domain decomposition methods for elliptic problems arising from flows in heterogeneous porous media. Comp. Vis. Science, 2005. DOI: 10.1007/s00791-005-0155-6.
  6. J. E. Aarnes. On the use of a mixed multiscale finite element method for greater flexibility and increased speed or improved accuracy in reservoir simulation. Multiscale Modelling and Simulation, Vol. 2, No. 3, pp. 421 - 439, 2004. DOI: 10.1137/030600655.

Published February 22, 2008

A portfolio of strategic research projects funded by the Research Council of Norway