Et profilbilde

Steinar Evje { "honorific-suffix": "Professor", "fn": "Steinar Evje", "tel": "Telephone: +47 51831741 ", "email": "" }

Faculty Faculty of Science and Technology
Department Department of Petroleum Technology
Room KE E-364


Research fields

Applied and Computational Mathematics

Main focus is on the study of partial differential equations (PDEs) that can be used to represent various dynamic phenomena, i.e. processes that involve changes in space and time.

Central classes are:

  • multiphase flow models
  • transport-reaction models

More specific reserach directions:

  • development of mathematical models and comparison with experimental behavior
  • development of suitable discrete versions of various PDEs
  • mathematical analysis (existence, uniqueness, asymptotic behavior)  

More specific applications of these models:

  • chalk weakening effects
  • brine-dependent oil recovery (chalk and sandstone)
  • well and pipe flow
  • coupled well-reservoir flow

Selected publications

S. Evje,"Global weak solutions for a compressible gas-liquid model with well-formation interaction", accepted in J. Diff. Eqs., 2011

S. Evje,"Weak solutions for a gas-liquid model relevant for describing gas-kick in oil wells", accepted in SIAM J. Math. Anal., 2011.

H.A. Friis and S. Evje, "Global weak solutions for a gas-liquid model with external forces and general pressure law", SIAM J. Appl. Math., Vol 71 (2), pp. 409-442, 2011.

H.A. Friis and S. Evje, "Numerical treatment of two-phase flow in capillary heterogeneous porous media by finite-volume approximations", Int. J. Num. Anal. Mod., to appear, 2011.

S. Evje and A. Hiorth, "A Mathematical Model for Dynamic Wettability Alteration Controlled by Water-Rock Chemistry", Networks and Heterogeneous Media, Vol 5 (2), pp. 217-256, 2010

S. Evje, A. Hiorth, M.V. Madland, R.I. Korsnes, "A mathematical model relevant for weakening of chalk reservoirs due to chemical reactions", Networks and Heterogeneous Media, Vol 4 (4), pp. 755-788, 2009.

S.T.Munkejord, S. Evje, T Flåtten, "A MUSTA scheme for a non-conservative two-fluid model", SIAM J. Sci. Comput. Vol 31, pp. 2587-2622, 2009

H.A.Friis, S.Evje and T.Flåtten, "A numerical study of characteristic slow-transient behavior of a compressible 2D gas-liquid two-fluid model", Adv. Appl. Math. Mech., Vol 1 (2), pp 166-200, 2009.

S. Evje and K.H. Karlsen "Global weak solutions for a viscous liquid-gas model with singular pressure law", Comm. Pure Appl. Anal, Vol 8 (6), pp 1867-1894, 2009.

S.Evje, T. Flåtten and H.A. Friis, "Global weak solutions for a viscous liquid-gas model with transition to single-phase gas flow and vacuum", Nonlinear Analysis TMA, Vol 70, pp. 3864--3886, 2009

S.Evje and K.H.Karlsen, "Global existence of weak solutions for a viscous two-phase model", J. Diff. Equations, Vol 245, Issue 9, 2008, pp. 2660--2703.

Yu, Evje, Fjelde, Kleppe et al, "Spontaneous Imbibition of Seawater into Preferentially Oil-Wet Chalk Cores - Experiments and Simulations", J. Pet. Sci. Eng., Vol 66, pp. 171-179, 2009.

Yu, Evje, Fjelde, Kleppe et al, "Modelling of wettability alteration processes in carbonate oil reservoirs", Networks and Heterogeneous Media, Vol 3 (1), 149-183, 2008.

S.Evje, T.Flåtten and H.A. Friis, "On a relation between pressure-based schemes and central schemes for hyperbolic conservation laws", Num. Meth. Part. Diff. Eq., Vol 24, Issue 2, 2008, pp. 605-645.

S.Evje and K.H.Karlsen, "A hyperbolic-elliptic model for coupled well-porous media flow", In Eleventh International Conference on Hyperbolic Problems: Theory, Numerics, Applications (Lyon 2006). Edt: S. Benzoni-Gavage and D. Serre, Jan 28, 2008.

S.Evje and K.H.Karlsen, "Hyperbolic-elliptic models for well-reservoir flow", Networks and Heterogeneous Media, Vol. 4 (1), 639-673, 2006.

S.Evje and T.Flåtten, "On the wave structure of two-phase flow models", SIAM J. Applied math., Vol 67 (2), pp. 487--511, 2007.

Munkejord S.T., Evje S., Flåtten T., "The multi-staged centred scheme approach applied to a drift-flux two-phase flow model", Int. J. Num. Meth. Fluids, Vol 52 (6), pp. 679-705, 2006.

Evje, S., Flåtten, T. "CFL-violating numerical schemes for a two-fluid model", J. Sci. Comput, Vol 29 (1), pp. 83-114, 2006.

Evje, S., Flåtten, T. "Hybrid central-upwind schemes for numerical resolution of two-phase flows", ESAIM: Math. Mod. Num. Anal., vol. 39, 2005, No. 2, pp. 253-273.

Evje, S., Flåtten, T. "Weakly implicit numerical schemes for a two-fluid model", SIAM J. Sci. Comput., Vol. 26, 2005, No. 5, pp. 1449--1484.

Evje, S., Flåtten, T. "Hybrid flux-splitting schemes for a common two-fluid model", J. Comput. Phys., Vol. 192, Issue 1, 2003, pp.175-210.

Research in progress


Work experience


Scientific publications (from Cristin)

  • Dirdal, Inger Karin; Evje, Steinar (2015). A Mathematical model for flow of gas-liquid mixture in vertical pipe. Universitetet i Stavanger. 97 p.
  • Okoye, Ejike; Evje, Steinar (2015). Study Of The 1D Three Phase Liquid, Gas And Cutting Model For Vertical Well Flow. Universitetet i Stavanger. 70 p.
  • Andersen, Pål Østebø; Evje, Steinar (2014). Mathematical models for the combined effect of transport, water-rock chemistry, and oil-water flow mechanisms. Universitetet i Stavanger.
  • Garate, Antono Jesus Heredia; Evje, Steinar; Andersen, Pål Østebø (2014). Study of a model for spontaneous imbibition as a mechanism for oil recovery in naturally fractured reservoirs. Universitetet i Stavanger. 83 p.
  • Andersen, Pål Østebø; Evje, Steinar (2010). Mathematical modeling of water-rock chemistry during water injection and its impact on the composition and porosity of chalk. Universitetet i Stavanger. 91 p.
  • Andersen, Pål Østebø; Qiao, Yangyang; Evje, Steinar; Standnes, Dag Chun (2017). Improved Modelling of Gravity-Aided Spontaneous Imbibition Using Momentum-Equation-Based Relative Permeabilities. EAGE / The Nat. IOR Center of Norway; 2017-04-24 - 2017-04-27.
  • Andersen, Pål Østebø; Qiao, Yangyang; Evje, Steinar; Standnes, Dag Chun (2017). Improved modeling of gravity-aided spontaneous imbibition using momentum-equation-based relative permeabilities. Interpore; 2017-05-08 - 2017-05-11.
  • Andersen, Pål Østebø; Evje, Steinar (2016). Fracture-Matrix Models for Reactive Flow in Naturally Fractured Formations. IOR Center; 2016-06-16.
  • Standnes, Dag Chun; Evje, Steinar; Andersen, Pål Østebø (2016). A Novel Relative Permeability Model - A Two-Fluid Approach Accounting For Solid-Fluid And Fluid-Fluid Interactions. 2016-08-21 - 2016-08-26.
  • Andersen, Pål Østebø; Evje, Steinar; Ahsan, Rajib; Hiorth, Aksel (2015). An Analytical Model for Imbibition Experiments with Porous Plate. EAGE; 2015-04-14 - 2015-04-16.
  • Evje, Steinar (2015). Spredning av kreftceller har klare likheter med strømning av olje. Teknisk Ukeblad. [Business/trade/industry journal]; 2015-10-11.
  • Aarsnes, Ulf Jakob Flø; Di Meglio, Florent; Evje, Steinar; Aamo, Ole Morten (2014). CONTROL-ORIENTED DRIFT-FLUX MODELING OF SINGLE AND TWO-PHASE FLOW FOR DRILLING. Association of American Mechanical Engineers; 2014-10-22 - 2014-10-24.
  • Nermoen, Anders; Korsnes, Reidar Inge; Hildebrand-Habel, Tania; Zimmermann, Udo; Bollhorn, Peter; Foged Christensen, Helle; Ancker Agergaard, Frederic; Trads, Niels; Pedersen, Janne; Jettestuen, Espen; Vinningland, Jan Ludvig; Evje, Steinar; Andersen, Pål Østebø; Hiorth, Aksel; Madland, Merete Vadla (2014). Water weakening of chalk at realistic reservoir conditions. Joint Chalk Research - 7; 2014-09-19 - 2014-09-21.
  • Andersen, Pål Østebø; Ahsan, Rajib; Evje, Steinar; Fred, Bratteli; Madland, Merete Vadla; Hiorth, Aksel (2013). A Model for Brine-Dependent Spontaneous Imbibition Experiments with Porous Plate. EAGE; 2013-06-10 - 2013-06-13.
  • Andersen, Pål Østebø; Evje, Steinar; Kleppe, Hans; Skjæveland, Svein Magne (2013). A Model for Wettability Alteration in Fractured Reservoirs. SPE-IPTC; 2013-03-26 - 2013-03-28.
  • Andersen, Pål Østebø; Evje, Steinar (2012). Two-phase Flow in a Fissurized-porous Media. ICNAAM; 2012-09-19 - 2012-09-25.
  • Udegbunam, John Emeka; Fjelde, Kjell Kåre; Evje, Steinar (2012). The Academic AUSMV Scheme - A simple but Robust Model for Predicting Highly Dynamic Well Flow Phenomena. GeoEnergy Celle eV; 2012-09-17 - 2012-09-18.
  • Aursand, Peder Kristian; Flåtten, Tore; Evje, Steinar (2011). An exponential time differencing method for robust resolution of hyperbolic relaxation systems. Society of Industrial and Applied Mathematics; 2011-07-18 - 2011-07-22.
  • Megawati, Megawati; Andersen, Pål Østebø; Korsnes, Reidar Inge; Evje, Steinar; Hiorth, Aksel; Madland, Merete Vadla (2011). The effect of aqueous chemistry pH on the time dependent deformation behaviour of chalk - experimental and modeling studies. IFP Energies nouvelles; 2011-11-16 - 2011-11-18.
  • Omekeh, Aruoture Voke; Evje, Steinar; Fjelde, Ingebret; Friis, Helmer Andre` (2011). Experimental and modeling investigation of ion exchange during low salinity water flooding. SCA2011-038. Society of Core Analysts USA; 2011-09-18 - 2011-09-21.
  • Omekeh, Aruoture Voke; Fjelde, Ingebret; Sarnowska, Anna; Evje, Steinar (2010). Interaction between Minerals and Brines during Low Salinity Water Flooding: Experiments and Simulations. 2010-09-06 - 2010-09-09.
  • Madland, M. V.; Hiorth, Aksel; Korsnes, Reidar I.; Evje, Steinar; Cathles, Lawrence M. (2009). Rock Fluid Interaction in Chalk exposed Injection of Seawater, MgCl2, and NaCl Brines with equal Ionic Strength. 2009-04-27 - 2009-04-29.