MRST - MATLAB Reservoir Simulation Toolbox

Multiscale methods in MRST
The following is a list of papers that  describe multiscale methods that are available in MRST

Multiscale finite-volume methods:

  1. Ø.S Klemetsdal, O Møyner and K.-A Lie. Use of dynamically adapted basis functions to accelerate multiscale simulation of complex geomodels. ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery. DOI: 10.3997/2214-4609.201802251
  2. K.-A. Lie, O. Møyner, and J. R. Natvig. Use of multiple multiscale operators to accelerate simulation of complex geomodels. SPE Journal, Vol. 22, Issue 6, pp. 1929 - 1945, 2017. DOI: 10.2118/182701-PA
  3. K.-A. Lie, O. Møyner, J. R. Natvig, A. Kozlova, K. Bratvedt, S. Watanabe, and Z. Li. Successful application of multiscale methods in a real reservoir simulator environment. Comput. Geosci., Vol. 21, Issue 5-6, pp. 981-998, 2017. DOI: 10.1007/s10596-017-9627-2
  4. O. Møyner and H.A. Tchelepi. A multiscale restriction-smoothed basis method for compositional models. SPE Reservoir Simulation Conference, Montgomery, Texas, USA, 20-22 February 2017. DOI: 10.2118/182679-MS.
  5. K.-A. Lie, O. Møyner, and J. R. Natvig. A feature-enriched multiscale method for simulating complex geomodels. SPE Reservoir Simulation Conference, Montgomery, Texas, USA, 20-22 February 2017. DOI: 10.2118/182701-MS.
  6. K.-A. Lie, O. Møyner, J. R. Natvig, A. Kozlova, K. Bratvedt, S. Watanable, and Z. Li. Successful application of multiscale methods in a real reservoir simulator environment. ECMOR XV, Amsterdam, Netherlands, 29 August -- 1 September, 2016. DOI: 10.3997/2214-4609.201601893
  7. O. Møyner and K.-A. Lie. A multiscale restriction-smoothed basis method for compressible black-oil models. SPE Journal, Vol. 21, No. 06, pp. 2079-2096, 2016. DOI: 10.2118/173265-PA
  8. S. Shah, O. Møyner, M. Tene, K.-A. Lie, and H. Hajibeygi. The multiscale restriction smoothed basis method for fractured porous media (F-MsRSB). J. Comput. Phys., Vol. 318, pp. 36-57, 2016. DOI: 10.1016/j.jcp.2016.05.001
  9. S. T. Hilden, O. Møyner, K.-A. Lie, and K. Bao. Multiscale simulation of polymer flooding with shear effects. Transport in Porous Media, Volume 113, Issue 1, pp. 111-135, 2016. DOI: 10.1007/s11242-016-0682-2
  10. O. Møyner and K.-A. Lie. A multiscale restriction-smoothed basis method for high contrast porous media represented on unstructured grids. J. Comput. Phys, Vol. 304, pp. 46-71, 2016. DOI: 10.1016/j.jcp.2015.10.010
  11. O. Møyner and K.-A. Lie. A multiscale method based on restriction-smoothed basis functions suitable for general grids in high contrast media. Paper 173265-MS presented at the 2015 Reservoir simulation Symposium, Houston, Texas, USA, 23-25 February 2015. DOI: 10.2118/173265-MS
  12. O. Møyner. Construction of multiscale preconditioners on stratigraphic grids. ECMOR XIV, Catania, Sicily, Italy, 8-11 September 2014. DOI: 10.3997/2214-4609.20141775
  13. O. Møyner and K.-A. Lie. A multiscale two-point flux-approximation method. J. Comput. Phys., Vol. 275, pp. 273-293, 2014. DOI: 10.1016/j.jcp.2014.07.003.
  14. O. Møyner and K.-A. Lie. The multiscale finite-volume method on stratigraphic grids. SPE J., Vol. 19, No. 5, pp. 816-831, 2014. DOI: 10.2118/163649-PA.
  15. O. Møyner and K.-A. Lie. The multiscale finite volume method on unstructured grids. Paper SPE 163649 presented at the 2013 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 18-20 February 2013.

Multiscale mixed finite-element methods:

  1. M. Pal, S. Lamine, K.-A. Lie, and S. Krogstad. Validation of the multiscale mixed finite-element method. Int. J. Numer. Meth. Fluids, Vol. 77, Issue 4, pp. 206-223, 2015. DOI: 10.1002/fld.3978
  2. K.-A. Lie, J. R. Natvig, S. Krogstad, Y. Yang, and X.-H. Wu. Grid adaptation for the Dirichlet-Neumann representation method and the multiscale mixed finite-element method. Comput. Geosci., Vol. 18, No. 3, pp. 357-372, 2014. DOI: 10.1007/s10596-013-9397-4
  3. M. Pal, S. Lamine, K.-A. Lie, and S. Krogstad Multiscale method for simulating two and three-phase flow in porous media. Paper SPE 163669 presented at the 2013 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 18-20 February 2013.
  4. S. Krogstad, K.-A. Lie, and B. Skaflestad. Mixed multiscale methods for compressible flow. Proceedings of ECMOR XIII, Biarritz, France, 10-13 September 2012.
  5. M. Pal, S. Lamine, K.-A. Lie, and S. Krogstad. Multiscale methods for two and three-phase flow simulation in subsurface petroleum reservoirs. Proceedings of ECMOR XIII, Biarritz, France, 10-13 September 2012.
  6. F. O. Alpak, M. Pal, and K.-A. Lie. A multiscale method for modeling flow in stratigraphically complex reservoirs. SPE J., Vol. 17, No. 4, pp. 1056-1070, 2012. DOI: 10.2118/140403-PA
  7. S. Krogstad. A sparse basis POD for model reduction of multiphase compressible flow. SPE 141973, 2011 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 21-23 February 2011. DOI: 10.2118/141973-MS
  8. F. O. Alpak, M. Pal, and K.-A. Lie. A multiscale method for modeling flow in stratigraphically complex reservoirs. SPE 140403, 2011 SPE Reservoir Simulation Symposium, The Woodlands, Texas, USA, 21-23 February 2011. DOI: 10.2118/140403-MS
  9. 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

Published February 18, 2017