Numerical methods and HPC
Open Access
Numéro
Oil & Gas Science and Technology - Rev. IFP Energies nouvelles
Volume 73, 2018
Numerical methods and HPC
Numéro d'article 38
Nombre de pages 14
DOI https://doi.org/10.2516/ogst/2018022
Publié en ligne 3 octobre 2018
  • Farmer C.L. (2002) Upscaling: a review, Int. J. Numer. Methods Fluids 40, 1–2, 63–78 https://doi.org/10.1002/fld.267. [CrossRef] [Google Scholar]
  • Durlofsky L.J. (2005) Upscaling and gridding of fine scale geological models for flow simulation, in: 8th International Forum on Reservoir Simulation Iles Borromees, Stresa, Italy, Vol. 2024. [Google Scholar]
  • Correia M.G., Maschio C., Schiozer D.J. (2018) Flow simulation using local grid refinements to model laminated reservoirs, Oil Gas Sci. Technol. - Rev. IFP Energies nouvelles 73, 5. [CrossRef] [Google Scholar]
  • Hou T.Y., Wu X.-H. (1997) A multiscale finite element method for elliptic problems in composite materials and porous media, J. Comput. Phys. 134, 1, 169–189. [CrossRef] [MathSciNet] [Google Scholar]
  • Chen Z., Hou T.Y. (2003) A mixed multiscale finite element method for elliptic problems with oscillating coeffcients, Math. Comput. 72, 541–576. [CrossRef] [MathSciNet] [Google Scholar]
  • Jenny P., Lee S.H., Tchelepi H.A. (2003) Multi-scale finite-volume method for elliptic problems in subsurface flow simulation, J. Comput. Phys. 187, 1, 47–67. [CrossRef] [Google Scholar]
  • Moyner O., Lie K.-A. (2014) A multiscale two-point fluxapproximation method, J. Comput. Phys. 275, 273–293. [CrossRef] [Google Scholar]
  • Franc J., Jeannin L., Debenest G., Masson R. (2017) FV-MHMM method for reservoir modeling, Comput. Geosci. 21, 5, 895–908. [CrossRef] [Google Scholar]
  • Efendiev Y., Hou T.Y. (2009) Multiscale finite element methods: theory and applications, Vol. 4, Springer Science & Business Media. [Google Scholar]
  • Kippe V., Aarnes J.E., Aarnes J.E., Lie K.-A. (2008) A comparison of multiscale methods for elliptic problems in porous media flow, Comput. Geosci. 12, 3, 377–398. [CrossRef] [Google Scholar]
  • Aziz K., Settari A. (1979) Petroleum reservoir simulation, Chapman & Hall. [Google Scholar]
  • Ho A. (2012) A parallel multiscale mixed finite-element method for the matlab reservoir simulation toolbox, Master’s Thesis, NTNU – Trondheim. [Google Scholar]
  • Lie K.-A., Krogstad S., Ligaarden I.S., Natvig J.R., Nilsen H.M., Skaflestad B. (2012) Open-source Matlab implementation of consistent discretisations on complex grids, Comput. Geosci. 16, 2, 297–322. [CrossRef] [Google Scholar]
  • Manea A.M., Sewall J., Tchelepi H.A. (2015) Parallel multiscale linear solver for highly detailed reservoir models, SPE Reservoir Simulation Symposium. [Google Scholar]
  • Bastian P., Engwer C., Göddeke D., Iliev O., Ippisch O., Ohlberger M., Turek S., Fahlke J., Kaulmann S., Müthing S., Ribbrock D. (2014) Euro-Par 2014: Parallel Processing Workshops, Flexible PDE Solvers, Numerical Methods and Applications, 8806, 530–541. [Google Scholar]
  • Leverett M.C. (1939) Flow of oil-water mixtures through unconsolidated sands, Trans. AIME 132, 1, 149–171. [CrossRef] [Google Scholar]
  • Farkas E. (1998) Linearization techniques of reservoir-simulation equations: fully implicit cases, SPE J. 3, 4, 316–323. [CrossRef] [Google Scholar]
  • Coats K.H. (2000) A note on IMPES and some IMPES-based simulation models, SPE J. 5, 3, 245–251. [CrossRef] [Google Scholar]
  • Coats K.H. (2003) IMPES stability: selection of stable timesteps, SPE J. 8, 2, 181–187. [CrossRef] [Google Scholar]
  • Whittaker E.T., Robinson G. (1967) The calculus of observations: a treatise on numerical mathematics, Dover Publications. [Google Scholar]
  • Eymard R., Gallouët T., Herbin R. (2000) Finite volume methods, Handbook of numerical analysis 7, 713–1018. [Google Scholar]
  • Aavatsmark I., Eigestad G., Mallison B., Nordbotten J. (2008) A compact multipoint flux approximation method with improved robustness, Numer Methods Partial Differ. Equ. 24, 5, 1329–1360. [CrossRef] [MathSciNet] [Google Scholar]
  • Gyrya V., Lipnikov K. (2008) High-order mimetic finite difference method for diffusion problems on polygonal meshes, J. Comput. Phys. 227, 20, 8841–8854. [CrossRef] [MathSciNet] [Google Scholar]
  • Ponting D.K. (1989) Corner point geometry in reservoir simulation, in: ECMOR I – 1st European Conference on the Mathematics of Oil Recovery. [Google Scholar]
  • Hauge V.L., Lie K.A., Natvig J.R. (2012) Flow-based coarsening for multiscale simulation of transport in porous media, Comput. Geosci. 162, 391–408. [CrossRef] [Google Scholar]
  • Aarnes J.E. (2004) On the use of a mixed multiscale finite element method for greater flexibility and increased speed or improved accuracy in reservoir simulation, Multiscale Model. Simul. 2, 3, 421–439. [CrossRef] [Google Scholar]
  • Aarnes J.E., Efendiev Y., Jiang L. (2008) Mixed multiscale finite element methods using limited global information, Multiscale Model. Simul. 72, 655–676. [CrossRef] [Google Scholar]
  • Jenny P., Lee S.H., Tchelepi H.A. (2004) Adaptive multiscale finite-volume method for multiphase flow and transport in porous media, Multiscale Model. Simul. 3, 1, 50–64. [CrossRef] [Google Scholar]
  • Grospellier G., Lelandais B. (2009) The ARCANE development framework, in: 8th Workshop on Parallel/High-Performance Object-Oriented Scientific Computing, ACM, 1–11. [Google Scholar]
  • Balay S., Gropp W.D., McInnes L.C., Smith B.F. (1997) Efficient management of parallelism in object oriented numerical software libraries, in: Modern software tools in scientific computing, Springer, pp. 163–202. [CrossRef] [Google Scholar]
  • Chow E., Cleary A.J., Falgout R.D. (1998) Design of the hypre preconditioner library, in: SIAM Workshop on Object-Oriented Methods for Intero-Operable Scientific and Engineering, Computing. [Google Scholar]
  • Davis T.A. (2004) Algorithm 832: Umfpack v4.3 – an unsymmetric pattern multifrontal method, ACM Trans. Math. Softw. 30, 2, 196–199. [CrossRef] [MathSciNet] [Google Scholar]
  • Christie M.A., Blunt M.J. (2001) Tenth SPE comparative solution project: a comparison of upscaling techniques, SPE Reserv. Evalu. Eng. 4, 4, 308–317. [CrossRef] [Google Scholar]
  • Ouaki F. (2013) Etude de schémas multi-échelles pour la simulation de réservoir, PhD Thesis, Ecole Polytechnique. [Google Scholar]
  • Jaure S., Moncorge A., de Loubens R. (2014) Reservoir simulation prototyping platform for high performance computing, in: SPE Large Scale Computing and Big Data Challenges in Reservoir Simulation Conference and Exhibition. [Google Scholar]
  • Camier J.S. (2015) Improving performance portability and exascale software software productivity with the ∇ numerical programming language, Exascale Applications and Software Conference. [Google Scholar]
  • Chung E.T., Efendiev Y., Lee C.S. (2015) Mixed generalized multiscale finite element methods and applications, Multiscale Model. Simul. 13, 1, 338–366. [CrossRef] [Google Scholar]
  • Chung E.T., Efendiev Y., Leung W.T. (2000) Constraint energy minimizing generalized multiscale finite element method in the mixed formulation. Preprint arXiv:1705.05959. [Google Scholar]

Les statistiques affichées correspondent au cumul d'une part des vues des résumés de l'article et d'autre part des vues et téléchargements de l'article plein-texte (PDF, Full-HTML, ePub... selon les formats disponibles) sur la platefome Vision4Press.

Les statistiques sont disponibles avec un délai de 48 à 96 heures et sont mises à jour quotidiennement en semaine.

Le chargement des statistiques peut être long.