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Section B

Finite-element simulations of miscible fingering problems

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Pages 2053-2063 | Received 11 Jun 2008, Accepted 23 Oct 2008, Published online: 08 Sep 2009

References

  • Arbogast , T. and Wheeler , M. F. 1995 . A characteristic-mixed finite element method for advection-dominated transport problems . SIAM J. Numer. Anal. , 32 : 404 – 410 .
  • Brooks , A. N. and Hughes , T. J.R. 1982 . Streamline upwind Petrov–Galerkin formulations for convection dominated flows with particular emphasis on incompressible Navier–Stokes equations . Comput. Methods Appl. Mech. Eng. , 32 : 199 – 259 .
  • Castro , R. G.S. , Malta , S. M.C. , Loula , A. F.D. and Landau , L. 2001 . Numerical analysis of space-time finite element formulations for miscible displacements . Comput. Geosci. , 5 : 301 – 330 .
  • Chen , C. Y. and Meiburg , E. 1998 . Miscible porous media displacements in quarter five-spot configuration. Part 1. The homogeneous case . J. Fluid Mech. , 371 : 233 – 268 .
  • Coutinho , A. L.G. and Alves , J. L.D. 1999 . Finite element simulation of nonlinear viscous fingering in miscible displacements with anisotropic dispersion and nonmonotonic viscosity profiles . Comput. Mech. , 23 : 108 – 116 .
  • Coutinho , A. L.G. , Dias , C. M. , Alves , J. L.D. , Landau , L. , Loula , A. F.D. , Malta , S. M.C. , Castro , R. G.S. and Garcia , E. L.M. 2004 . Stabilized methods and post-processing techniques for Darcy flow and related problems . Comput. Methods Appl. Mech. Eng. , 193 : 1421 – 1436 .
  • De Wit , A. , Bertho , Y. and Martin , M. 2005 . Viscous fingering of miscible slices . Phys. Fluids , : 0544114
  • Douglas , J. Jr. , Ewing , R. E. and Wheeler , M. F. 1983 . The approximation of the pressure by a mixed-method in the simulation of miscible displacement . R.A.I.R.O. Anal. Numer. , 17 : 17 – 33 .
  • Douglas , J. Jr. , Wheeler , M. F. and Kendall , R. F. 1984 . Self-adaptive finite element simulation of miscible displacement in porous media . Comput. Methods Appl. Mech. Eng. , 47 : 131 – 159 .
  • Ewing , R. E. , Russel , T. F. and Wheeler , M. F. 1983 . Simulation of miscible displacement using mixed methods and a modified method of characteristics . J. SPE , 12241 : 71 – 81 .
  • Malta , S. C.M. and Loula , A. F.D. 1998 . Numerical analysis of the finite element methods for miscible displacements in porous media . Numer. Methods Partial Diff. Equ. , 14 : 519 – 548 .
  • Malta , S. M.C. , Loula , A. F.D. and Garcia , E. L.M. 2000 . Numerical analysis of a stabilized finite element method for tracer injection simulations . Comput. Methods Appl. Mech. Eng. , 187 : 119 – 136 .
  • Peaceman , D. W. 1977 . Fundamental of Numerical Reservoir Simulation , Amsterdam, Holland : Elsevier .
  • T.F. Russel, M.F. Wheeler, and C. Chiang, Large-scale simulation of miscible displacement by mixed characteristic finite element method, Mathematics and Computational Methods in Seismic Exploration and Reservoir Modeling, 1th ed., SIAM, USA, 1986, 85–107
  • P.A. Sesini, D.A.F. de Souza, A.L.G.A. Coutinho, Finite element simulation of viscous fingering in miscible displacements at high mobility ratios. Finite Elements in Analysis and Design
  • Setarri , A. , Price , H. S. and Dupont , T. 1977 . Development and application of variational methods for simulation of miscible displacement in porous media . Soc. Pet. Eng. J. Trans. AIME , 263 : 228 – 246 .
  • Tan , C. T. and Homsy , G. M. 1992 . Viscous fingering with permeability heterogeneity . Phys. Fluids A , 06 : 1099 – 1101 .

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