Time-stamp: <2007-01-29 22:44:14 s-skj>

Syllabus DPE190 Modellering of two-phase flow in pore network
10 sp

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Book
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Dullien, F.A.L.: "Porous Media - Fluid Transport and Pore Structure",
Academic Press, 2. ed., 1992. 

  Ch. 2: Capillarity in Porous Media
  Ch. 5: Multiphase Flow of Immiscible Fluids in Porous Media


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Papers
  note: it is recommended to read the first 4 papers in the given
  sequence.
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1. Lenormand, R., Toubol, E., Zarcone, C.: "Numerical models and
   experiments on immiscible displacements in porous media," J. Fluid
   Mech. 189 (1988), 165.

2. Lenormand, R., Zarcone, C., Sarr, A.: "Mechanisms of the displacement
   of fluid by another in a network of capillary ducts," J. Fluid
   Mech. 135 (1983), 337-353.

3. Lenormand, R., Zarcone, C.: "Role of roughness and edges during
   imbibition in square capillaries," SPE 13264, presented at the 1984 SPE
   Annual Technical Conference and Exhibition, Sep. 16-19.

4. Lenormand, R.: "Liquids in porous media," J. Phys.: Condensed Matter 2
   (1990), SA79-SA88.

5. Jerauld, G.R., Salter, S.J.: "The effect of pore-structure on
   hysteresis in relative permeability and capillary pressure: Pore-level
   modelling," Transport in Porous Media 5 (1990), 103-151.

6. Øren, P.-E., Bakke, S.: "Reconstruction of Berea sandstone and
   pore-scale modelling of wettability effects," J. Pet. Sci. Eng. 39
   (2003), 177-199.

7. Valvatne, P.: "Predictive pore-scale modelling of multiphase flow," PhD
   dissertation, Imperial College London, 2004.

8. Piri, M.: "Pore-scale modelling of three-phase flow," PhD dissertation,
   Imperial College, London, December 2003.

9. Helland, J.O., Skjæveland, S.M.: "Physically-based capillary pressure
   correlation for mixed-wet reservoirs from a bundle-of-tubes model,"
   paper SPE89428 presented at the SPE/DOE 14th Symposium on Improved Oil
   Recovery, Tulsa, OK, Apr. 17-21, 2004. Revised paper accepted for
   publication in SPE Journal.

10. van Dijke, M.I.J., Lago, M., Sorbie, K.S., Araujo, M.: "Free energy
    balance for three fluid phases in a capillary of arbitrarily shaped
    cross-section: capillary entry pressures and layers of the
    intermediate-wetting phase," J. Coll. Int. Sci. 277 (2004), 184-201.

11. van Dijke, M.I.J., Sorbie, K.S., McDougall, S.R.:
    "Saturation-dependencies of three-phase relative permeabilities in
    mixed-wet and fractionally wet systems," Advances in Water Resources
    24 (2001), 365-384.

12. Helland, J.O., Skjæveland, S.M.: "Three-phase mixed-wet capillary
    pressure curves from a bundle-of-triangular-tubes model," paper
    presented at the 8th International Symposium on Reservoir Wettability,
    Houston, TX, May 16-18, 2004. Revised paper accepted for publication
    in J. Pet. Sci. Eng.

13. Lindquist, W.B.: "The geometry of primary drainage,"
    J. Coll. Int. Sci. (2005). Article in press.

14. Gladkikh, M., Bryant S.: "Prediction of imbibition in unconsolidated
    granular materials," J. Coll. Int. Sci. 288 (2005), 526-539.

15. Hassanizadeh, S.M., Celia, M.A., Dahle, H.K.: "Dynamic effect in the
    capillary pressure - saturation relationship and its impacts on
    unsaturated flow," Vadose Zone Journal 1 (2002), 38-57.

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Level Set Method, added 26Aug15.
  These papers are not part of the syllabus but meant for background information.
  A ppt-file in preparation will cover the syllabus for the LS-method
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