Knut-Andreas Lie
Chief scientist  (Prof., Dr. Ing.)
  
Phone: +47 22067710
Cellphone: +47 93058721
Email:
Department: Applied Mathematics
Research Unit:   SINTEF ICT
Location: Forskningsveien 1, Oslo
   
   
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Selected projects:  
GeoScale  
Matlab Reservoir Simulation Toolbox (MRST)  
MatMoRA  
Geilo winter schools  
 IGEMS CO2
 
   
   
   
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Background

Dr. Knut-Andreas Lie is chief scientist at SINTEF. He holds a PhD in mathematics from the Norwegian University of Science and Technology and a MSc (siv.ing.) in industrial mathematics from the Norwegian Institute of Technology (NTH). After graduation, he spent one year as a postdoc at the Department of Informatics, University of Oslo before joining SINTEF in 1999 as research director for the former Department of Numerical Simulation. After a reorganization of SINTEF in 2004, he built up a new research group that focuses on subsurface flow and numerical solution of partial differential equations.

Knut-Andreas is Professor II at the Department of Mathematics, University of Bergen and senior scientist at the Centre of Mathematics for Applications (CMA), a national Center of Excellence at the University of Oslo. He is also affiliated with the Center for Integrated Operations in the Oil Industry at NTNU in Trondheim and the SUCCESS center for CO2 storage at CMR and the University of Bergen. Through these university affilitations, he has supervised fourteen doctoral and twenty-six master students.

Knut-Andreas has published more than 80 scientific papers, one monograph, and three edited volumes. He is currently associate editor for SPE Journal and Journal of Mathematics in Industry.

Research Interests

Knut-Andreas' main research interest is numerical methods for flow and transport in porous rock formations with applications in reservoir simulation and CO2 storage. Since his PhD studies, he has worked on efficient transport solvers and, in particular, efficient methods such as streamlines, front tracking, fast-marching, and causality-based methods for advective and/or gravitational transport. Since 2004, he has worked on consistent discretization methods and multiscale methods for direct solution of elliptic pressure equations on complex grid models of highly heterogeneous and fractured porous media. The resulting multiscale pressure solvers can be used as upscaling methods and are then more accurate and robust than industry-standard upscaling methods. Similarly, when used as a direct solver on highly detailed geomodels, multiscale solvers are typically orders-of-magnitude faster than standard pressure solvers. Recently, he has also developed a set of accompanying, multi-fidelity, transport solvers that utilize flow-based grids for speeding up computations. Knut-Andreas has also worked on other topics such as streamline-based history matching, Riemann solvers for 3-phase and miscible flows, accurate multipoint discretization of faults, vertical equilibrium models for CO2 migration, and the impact of geological uncertainty on risk assment of CO2 storage.

Knut-Andreas is a believer of open-access publishing and open-sources software. As a doctoral student, he started the Hyperbolic Conservation Laws Preprint Server in 1996; the server is still active and contains around 800 preprints. More recently, he initiated two open-source initiatives: the Matlab Reservoir Simulation Toolbox (MRST) developed by SINTEF and the Open Porous Medium (OPM) initiative supported by Statoil, Total, and various German and Norwegian research groups.

Knut-Andreas is also interested in GPU computing applied to high-resolution methods for conservation and balance laws, including, in particular, gas dynamics and shallow-water waves. In a prior life, he was an expert on front tracking and analysis and development of operator splitting methods for nonlinear hyperbolic and parabolic PDEs.

Recent publications (Show all publications)

  1. A. R. Syversveen, H. M. Nilsen, K.-A. Lie, J. Tveranger, and P. Abrahamsen. A study on how top-surface morphology influences the CO2 storage capacity. Proceedings of the Ninth International Geostatistics Congress, Oslo, Norway, June 11-15, 2012. Springer Verlag.
  2. 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), accepted, November 2011.
  3. F. O. Alpak, M. Pal, and K.-A. Lie. A multiscale method for modeling flow in stratigraphically complex reservoirs. SPE J., in press.
  4. H. M. Nilsen, K.-A. Lie, and J. R. Natvig. Accurate modelling of faults by multipoint, mimetic, and mixed methods. SPE J., in press.
  5. 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., 2011. DOI: 10.1007/s10596-011-9244-4
  6. 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: 10.2018/119132-PA.
  7. V. L. Hauge, K.-A. Lie, and J. R. Natvig. Flow-based coarsening for multiscale simulation of transport in porous media. Comput. Geosci., 2011. DOI: 10.1007/s10596-011-9230-x
  8. 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, 2011. DOI: 10.4208/cicp.290610.020211a.
  9. H. M. Nilsen, P. A. Herrera, M. Ashraf, I. S. Ligaarden, M. Iding, C. Hermanrud, K.-A. Lie, J. M. Nordbotten, H. K. Dahle, and E. Keilegavlen. Field-case simulation of CO2-plume migration using vertical-equilibrium models. Proceedings of GHGT10 (International Conference on Greenhouse Gas Control Technologies), 19-23 September 2010, RAI, Amsterdam, The Netherlands.
  10. A. R. Brodtkorb, T. R. Hagen, K.-A. Lie, and J. R. Natvig. Simulation and visualization of the Saint-Venant system using GPUs. Comput. Visual. Sci. (Special issue on Hot Topics in Computational Engineering), Vol. 13, No. 7, pp. 341--353, 2010. DOI: 10.1007/s00791-010-0149-x.
  11. H. Holden, K. H. Karlsen, K.-A. Lie, and N. H. Risebro. Splitting Methods for Partial Differential Equations with Rough Solutions: Analysis and Matlab Programs. EMS Series of Lectures in Mathematics, Vol. 11, European Mathematical Society Publishing House, 2010. Extra material: open-source Matlab codes.

 


Published January 10, 2012