Free Access
Issue
ESAIM: M2AN
Volume 23, Number 1, 1989
Page(s) 5 - 51
DOI https://doi.org/10.1051/m2an/1989230100051
Published online 31 January 2017
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  9. J. Jr. DOUGLAS, R. E. EWING, and M. F. WHEELER, The approximation of the pressure by a mixed method in the simulation of miscible displacement, R.A.I.R.O. Anal. Numér., 17 (1983), pp. 17-33. [EuDML: 193407] [MR: 695450] [Zbl: 0516.76094]
  10. J. Jr. DOUGLAS, R. E. EWING, and M. F. WHEELER, A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media, R.A.I.R.O. Anal. Numér., 17 (1983), pp. 249-265. [EuDML: 193417] [MR: 702137] [Zbl: 0526.76094]
  11. J. Jr. DOUGLAS, P. J. PAES LEME, T. ARBOGAST, and T. SCHMITT, Simulation of flow in naturally fractured reservoirs, Paper SPE 16019, in Proceedings, Ninth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, Texas, 1987, pp. 271-279.
  12. J. Jr. DOUGLAS, and J. E. ROBERTS, Global estimates for mixed methods for second order elliptic equations, Math. Comp., 44 (1985), pp. 39-52. [MR: 771029] [Zbl: 0624.65109]
  13. J. Jr. DOUGLAS, and T. F. RUSSELL, Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures, SIAM J. Numer. Anal., 19 (1982), pp. 871-885. [MR: 672564] [Zbl: 0492.65051]
  14. J. Jr. DOUGLAS, M. F. WHEELER, B. L. DARLOW, and R. P. KENDALL, Self-adaptive finite element simulation of miscible displacement in porous media, Comp. Meth. Appl. Mech. Eng., 47 (1984), pp. 131-159. [Zbl: 0545.76128]
  15. J. Jr. DOUGLAS, and Y. YUAN, Numerical simulation of immiscible flow in porous media based on combining the method of characteristics with mixed finite element procedures, in Numerical Simulation in Oil Recovery, M. F. Wheeler, ed., The IMA Volumes in Mathematics and its Applications 11, Springer-Verlag, Berlin and New York, 1988, pp. 119-131. [MR: 922962] [Zbl: 0699.76105]
  16. R. DURÁN, On the approximation of miscible displacement in porous media by a method of characteristics combined with a mixed method, SIAM J. Numer. Anal., 25 (1988), pp. 989-1001. [MR: 960861] [Zbl: 0661.76096]
  17. R. E. EWING, T. F. RUSSELL, and M. F. WHEELER, Simulation of miscible displacement using mixed methods and a modified method of characteristics, Paper SPE 12241, in Proceedings, Seventh SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, Texas, 1983, pp. 71-81.
  18. R. E. EWING, T. F. RUSSELL, and M. F. WHEELER, Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics, Comp. Meth. Appl. Mech. Eng., 47 (1984), pp. 73-92. [MR: 777394] [Zbl: 0545.76131]
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  20. R. E. EWING and M. F. WHEELER, Galerkin methods for miscible displacement problems with point sources and sinks-unit mobility ratio case, in Mathematical Methods in Energy Research, K. I. Gross, ed., Society for Industrial and Applied Mathematics, Philadelphia, 1984, pp. 40-58. [MR: 790511] [Zbl: 0551.76079]
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  24. P. A. RAVIART and J. M. THOMAS, A mixed finite element method for 2nd order elliptic problems, in Mathematical Aspects of the Finite Element Method, Lecture Notes in Mathematics 606, Springer-Verlag, Berlin and New York, 1977, pp. 292-315. [MR: 483555] [Zbl: 0362.65089]
  25. T. F. RUSSELL, Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media, SIAM J. Numer. Anal., 22 (1985), pp. 970-1013. [MR: 799124] [Zbl: 0594.76087]
  26. P. H. SAMMON, Numerical approximations for a miscible displacement process in porous media, SIAM J. Numer. Anal., 23 (1986), pp. 508-542. [MR: 842642] [Zbl: 0608.76084]
  27. F. SONIER, P. SOUILLARD, and F. T. BLASKOVICH, Numerical simulation of naturally fractured reservoirs, Paper SPE 15627, in Proceedings, 61st Annual Technical Conference and Exhibition of the Society of Petroleum Engineers, Society of Petroleum Engineers, Dallas, Texas, 1986.
  28. A. DE SWAAN O., Analytic solutions for determining naturally fractured reservoirs properties by well testing, Soc. Pet. Eng. J. (1976), pp. 117-122.
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