Hjem
Eirik Keilegavlens bilde

Eirik Keilegavlen

Forsker
  • E-postEirik.Keilegavlen@uib.no
  • Telefon+47 55 58 28 31
  • Besøksadresse
    Realfagbygget, Allégt. 41
  • Postadresse
    Postboks 7803
    5020 Bergen

Jeg jobber med å utvikle matematiske modeller for flyt i porøse media, samt å utvikle teknikker for å løse de resulterende ligningene. Svært mange medier kan oppfattes som porøse, noen eksempler er:

  • Stein og jord, som er viktig for grunnvanns-ressurser, CO2-lagring, geotermisk energi og oljeutvinning.
  • Biologiske medier: Store deler av kroppen kan sees på som porøs.
  • Industrielle anvendelser: Brenselceller, bleier.
  • Havis, med stor betydning for klima og aktiviteter langs kysten.

Selv om anvendelsene er vidt forskjellige, har de til felles at de kan beskrives med de samme ligningene, og innsikt oppnådd i et fagfelt kan slik komme til nytte i andre, vidt forskjellige, emner. Ligningene svært vanskelig å løse, og i praksis søker en tilnærmede løsninger som finnes ved hjelp av datamaskiner.

 

Tidsskriftartikler
  • Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin; Pop, Iuliu Sorin. 2017. Fractal structures in freezing brine. Journal of Fluid Mechanics. 826: 975-995. doi: 10.1017/jfm.2017.472
  • Keilegavlen, Eirik; Nordbotten, Jan Martin. 2017. Finite volume methods for elasticity with weak symmetry. International Journal for Numerical Methods in Engineering. 112: 939-962. doi: 10.1002/nme.5538
  • Sargado, Juan Michael; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin. 2017. High-accuracy phase-field models for brittle fracture based on a new family of degradation functions. Journal of the mechanics and physics of solids. doi: 10.1016/j.jmps.2017.10.015
  • Ucar, Eren; Berre, Inga; Keilegavlen, Eirik. 2017. Postinjection normal closure of fractures as a mechanism for induced seismicity. Geophysical Research Letters. 44: 9598-9606. doi: 10.1002/2017GL074282
  • Guo, Bo; Bandilla, Karl W.; Nordbotten, Jan Martin; Celia, Michael A.; Keilegavlen, Eirik; Doster, Florian. 2016. A multiscale multilayer vertically integrated model with vertical dynamics for CO2 sequestration in layered geological formations. Water resources research. 52: 6490-6505. doi: 10.1002/2016WR018714
  • Zuluaga, Luisa Fernanda; Rotevatn, Atle; Keilegavlen, Eirik; Fossen, Haakon. 2016. The effect of deformation bands on simulated fluid flow within fault-propagation fold trap types: Lessons from the San Rafael monocline, Utah. American Association of Petroleum Geologists Bulletin. 100: 1523-1540. doi: 10.1306/04151614153
  • Keilegavlen, Eirik. 2015. Hvordan håndtere usikkerhet ved CO2-lagring. Bergens Tidende. Publisert 2015-04-20.
  • Keilegavlen, Eirik; Nordbotten, Jan Martin. 2015. Inexact linear solvers for control volume discretizations in porous media. Computational Geosciences. 19: 159-176. doi: 10.1007/s10596-014-9453-8
  • Skogestad, Jan Ole; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2015. Two-scale preconditioning for two-phase nonlinear flows in porous media. Transport in Porous Media. 114: 485-503. doi: 10.1007/s11242-015-0587-5
  • Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2014. Analysis of control volume heterogeneous multiscale methods for single phase flow in porous media. Multiscale Modeling & simulation. 12: 335-363. doi: 10.1137/120885541
  • Guo, B; Bandilla, Karl W.; Keilegavlen, Eirik; Doster, Florian; Celia, Michael A. 2014. Application of Vertically-Integrated Models with Subscale Vertical Dynamics to Field Sites for CO2 Sequestration. Energy Procedia. 63: 3523-3531. doi: 10.1016/j.egypro.2014.11.381
  • Keilegavlen, Eirik. 2014. Sprekker er nøkkelen til dyp jordvarme. Bergens Tidende.
  • Keilegavlen, Eirik; Nordbotten, Jan Martin. 2014. Conservative inexact solvers for porous media flow. Lecture Notes in Computational Science and Engineering. 98: 333-340. doi: 10.1007/978-3-319-05789-7_30
  • Sandve, Tor Harald; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2014. Physics-based preconditioners for flow in fractured porous media. Water resources research. 50: 1357-1373. doi: 10.1002/2012WR013034
  • Rotevatn, Atle; Sandve, Tor Harald; Keilegavlen, Eirik; Kolyukhin, Dmitriy; Fossen, Haakon. 2013. Deformation bands and their impact on fluid flow in sandstone reservoirs: the role of natural thickness variations. Geofluids. 13: 359-371. doi: 10.1111/gfl.12030
  • Sandvin, Andreas; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2013. Auxiliary variables for 3D multiscale simulations in heterogeneous porous media. Journal of Computational Physics. 238: 141-153. doi: 10.1016/j.jcp.2012.12.016
  • Skogestad, Jan Ole; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2013. Domain decomposition strategies for nonlinear flow problems in porous media. Journal of Computational Physics. 234: 439-451. doi: 10.1016/j.jcp.2012.10.001
  • Keilegavlen, Eirik; Kozdon, Jeremy E.; Mallison, Bradley T. 2012. Multidimensional upstream weighting for multiphase transport on general grids. Computational Geosciences. 16: 1021-1042. doi: 10.1007/s10596-012-9301-7
  • Keilegavlen, Eirik; Nordbotten, Jan Martin; Stephansen, Annette. 2012. Tensor relative permeabilities: Origin, modeling and numerical discretization. International Journal of Numerical Analysis & Modeling. 9: 701-724.
  • Keilegavlen, Eirik; Aavatsmark, Ivar. 2011. Monotonicity for MPFA methods on triangular grids. Computational Geosciences. 15: 3-16. doi: 10.1007/s10596-010-9191-5
  • Nilsen, Halvor Møll; Herrera, Paulo; Ashraf, Seyed Meisam; Ligaard, Ingeborg S; Iding, Martin; Hermanrud, Christian; Lie, Knut-Andreas; Nordbotten, Jan Martin; Dahle, Helge K.; Keilegavlen, Eirik. 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
  • Mundal, Sissel; Keilegavlen, Eirik; Aavatsmark, Ivar. 2010. Simulation of anisotropic heterogeneous near-well flow using MPFA methods on flexible grids. Computational Geosciences. 14: 509-525. doi: 10.1007/s10596-009-9167-5
  • Keilegavlen, Eirik; Berntsen, Jarle. 2009. Non-hydrostatic pressure in sigma-coordinate ocean models. Ocean Modelling. 28: 240-249. doi: 10.1016/j.ocemod.2009.02.006
  • Keilegavlen, Eirik; Nordbotten, Jan Martin; Aavatsmark, Ivar. 2009. Sufficient criteria are necessary for monotone control volume methods. Applied Mathematics Letters. 22: 1178-1180. doi: 10.1016/j.aml.2009.01.048
Rapporter/avhandlinger
  • Keilegavlen, Eirik. 2010. Robust Control Volume Methods for Reservoir Simulation on Challenging Grids. 200 sider.
Bokkapitler
  • Ucar, Eren; Berre, Inga; Keilegavlen, Eirik. 2016. Modelling of the Shear Dilation Based Hydraulic Stimulation in Enhanced Geothermal Systems Considering Fractures in Different Scales. Geophysics (methodology, general). I:
    • Ukjent, Ukjent. 2016. EGC2016 proceedings. 500 sider. ISBN: 978-2-9601946-0-9.
  • Ucar, Eren; Berre, Inga; Keilegavlen, Eirik. 2015. Simulation of Slip-Induced Permeability Enhancement Accounting For Multiscale Fractures. Enhanced Geothermal Systems. I:
    • Horne, Roland. 2015. 40th Workshop on Geothermal Reservoir Engineering 2015. Curran Associates, Inc.. 1254 sider. ISBN: 978-1-5108-0274-2.
  • Sandve, Tor Harald; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2013. Multiscale simulation of flow and heat transport in fractured geothermal reservoirs: inexact solvers and improved transport upscaling. Modeling. I:
    • Horne, Roland. 2013. Proceedings of the 38th Workshop on Geothermal Reservoir Engineering 2013. 1741 sider. ISBN: 9781627485708.
  • Alyaev, Sergey; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2012. MULTISCALE SIMULATION OF NON-DARCY FLOWS. MULTISCALE SIMULATION OF NON-DARCY FLOWS, sider . I:
    • 2006. Proceedings - CMWR XVI - Computational Methods in Water Resources.
  • Nordbotten, Jan Martin; Keilegavlen, Eirik; Sandvin, Andreas. 2012. Mass conservative domain decomposition for porous media flow. Chapter 11, sider . I:
    • Petrova, Radostina. 2012. Finite Volume Method. INTECH. 370 sider. ISBN: 978-953-51-0445-2.
  • Sandve, Tor Harald; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2012. Mass Conservative Domain Decomposition for Fractured Porous Media. -. I:
    • Bentley, Laurence R. 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 sider.
  • Keilegavlen, Eirik; Kozdon, Jeremy; Mallison, Brad T. 2010. Monotone Multi-dimensional Upstream Weighting on General Grids. Artikkel. I:
    • ECMOR, XII. 2010. Conference Proceedings ECMOR XII. European Association of Geoscientists and Engineers. 1000 sider. ISBN: 9789073781894.
  • Sandvin, Andreas; Skogestad, Jan Ole; Keilegavlen, Eirik; Nordbotten, Jan Martin. 2010. A Multiscale Framework for Simulating Multi-phase Flow on Flexible Grids. Artikkel. I:
    • ECMOR, XII. 2010. Conference Proceedings ECMOR XII. European Association of Geoscientists and Engineers. 1000 sider. ISBN: 9789073781894.
  • Keilegavlen, Eirik; Aavatsmark, Ivar. 2008. Monotonicity for control volume methods on unstructured grids. artikkel, sider . I:
    • Aavatsmark, Ivar. 2008. Proceedings of the 11th European Conference on the Mathematics of Oil Recovery. European Association of Geoscientists and Engineers. 1050 sider. ISBN: 9789073781559.
  • Mundal, Sissel; Keilegavlen, Eirik; Aavatsmark, Ivar. 2008. Discretization schemes for anisotropic heterogeneous problems on near-well grids. artikkel, sider . I:
    • Aavatsmark, Ivar. 2008. Proceedings of the 11th European Conference on the Mathematics of Oil Recovery. European Association of Geoscientists and Engineers. 1050 sider. ISBN: 9789073781559.

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