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Home All issues Volume 74 (2019) Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles, 74 (2019) 43 References
Numerical methods and HPC
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Issue
Oil Gas Sci. Technol. – Rev. IFP Energies nouvelles
Volume 74, 2019
Numerical methods and HPC
Article Number 43
Number of page(s) 15
DOI https://doi.org/10.2516/ogst/2019012
Published online 26 April 2019
  • Aziz K., Settari A. (1979) Petroleum reservoir simulation, Vol. 476, Applied Science Publishers, London, UK. [Google Scholar]
  • Chavent G., Jaffre J. (1986) Mathematical models and finite elements for reservoir simulation: single phase, multiphase and multicomponent flows through porous media, Elsevier Science. [Google Scholar]
  • Danesh A. (1998) PVT and phase behavior of petroleum reservoir fluids, Vol. 47, Elsevier. [Google Scholar]
  • Firoozabadi A. (1999) Thermodynamics of hydrocarbon reservoirs, McGraw-Hill, New York, NY. [Google Scholar]
  • Coats K.H. (1989) Implicit compositional simulation of single-porosity and dual-porosity reservoirs, Paper SPE 18427, 6–8. [Google Scholar]
  • Abadpour A., Panfilov M. (2009) Method of negative saturations for modeling two-phase compositional flow with oversaturated zones, Transp. Porous Media. 79, 2, 197–214. [Google Scholar]
  • Angelini O., Chavant C., Chenier E., Eymard R., Granet S. (2011) Finite volume approximation of a diffusion-dissolution model and application to nuclear waste storage, Math. Comput. Simul. 81, 10, 2001–2017. [Google Scholar]
  • Masson R., Trenty L., Zhang Y. (2014) Formulations of two phase liquid gas compositional Darcy flows with phase transitions, Int. J. Finite Vol. 11, 1–34. [Google Scholar]
  • Gharbia I.B., Jaffre J. (2014) Gas phase appearance and disappearance as a problem with complementarity constraints, Math. Comput. Simul. 99, 28–36. [Google Scholar]
  • Coats K.H. (1980) An equation of state compositional model, Soc. Petrol. Eng. J. 20, 5, 363–376. [CrossRef] [Google Scholar]
  • Qi L., Sun J. (1993) A nonsmooth version of Newton’s method, Math. Progr. 58, 1–3, 353–367. [CrossRef] [Google Scholar]
  • Facchinei F., Pang J.-S. (2003) Finite-dimensional variational inequalities and complementarity problems (two volumes), Springer Series in Operations Research, Springer. [Google Scholar]
  • Hager C., Wohlmuth B. (2010) Semismooth Newton methods for variational problems with inequality constraints, GAMM-Mitteilungen 33, 1, 8–24. [CrossRef] [Google Scholar]
  • Whitson C.H., Michelsen M.L. (1989) The negative flash, Fluid Phase Equilib. 53, 51–71. [Google Scholar]
  • Lauser A., Hager C., Helmig R., Wohlmuth B. (2011) A new approach for phase transitions in miscible multi-phase flow in porous media, Adv. Water Resour. 34, 8, 957–966. [Google Scholar]
  • Ben Gharbia I., Gilbert J.Ch. (2012) Nonconvergence of the plain Newton-min algorithm for linear complementarity problems with a P-matrix, Math. Progr. 134, 2, 349–364. [CrossRef] [Google Scholar]
  • Ben Gharbia I., Gilbert J.Ch. (2013) An algorithmic characterization of P-matricity, SIAM J. Matrix Anal. Appl. 34, 3, 904–916. [Google Scholar]
  • Ben Gharbia I., Gilbert J.Ch. (2018) An algorithmic characterization of P-matricity II: adjustments, refinements, and validation, SIAM J. Matrix Anal. Appl. (in revision). [Google Scholar]
  • Michelsen L.M. (1986) Simplified flash calculations for Cubic Equations of State, Ind. Eng. Chem. Process Des. Dev. 25, 1, 184–188. [CrossRef] [Google Scholar]
  • Sun A.C., Seider W.D. (1995) Homotopy-continuation method for stability analysis in the global minimization of the Gibbs free energy, Fluid Phase Equilib. 103, 4, 213–249. [Google Scholar]
  • Hintermüller M., Ito K., Kunisch K. (2003) The primal-dual active set strategy as a semi-smooth Newton method, SIAM J. Optim. 13, 865–888. [Google Scholar]
  • Qi L. (1993) Convergence analysis of some algorithms for solving nonsmooth equations, Math. Oper. Res. 18, 18, 227–244. [CrossRef] [Google Scholar]
  • Eymard R., Guichard C., Herbin R., Masson R. (2012) Vertex-centred discretization of multiphase compositional Darcy flows on general meshes, Comput. Geosci. 16, 987–1005. [Google Scholar]
  • Stone H.L. (1973) Estimation of three-phase relative permeability and residual oil data, J. Can. Petrol. Technol. 12, 4. [CrossRef] [Google Scholar]
  • Lohrenz J., Bray B.G., Clark C.R. (1964) Calculating viscosities of reservoir fluids from their compositions, J. Pet. Technol. 16, 10, 1–171. [CrossRef] [Google Scholar]
  • Schmidt E. (1969) Properties of water and steam in SI-units, Springer-Verlag, Berlin, Germany. [Google Scholar]
  • Peng D.Y., Robinson D.B. (1976) A new two-constant equation of state, Ind. Eng. Chem. Fundam. 15, 1, 59–64. [CrossRef] [Google Scholar]
  • Chen Z., Huan G., Ma Y. (2006) Computational methods for multiphase flows in porous media, Computational Science and Engineering, SIAM, Philadelphia, PA. [CrossRef] [Google Scholar]

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