A variational multiscale method for the numerical simulation of multiphase flow in porous media

Developments in Water Science

Volumn 55, Issue PART 1, 2004, Pages 325-335

  Juanes, Ruben ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644558114     PISSN: 01675648     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0167-5648(04)80061-3     Document Type: Article

References (12)

1. Chavent G., Jaffré J. Mathematical Models and Finite Elements for Reservoir Simulation, volume 17 of Studies in Mathematics and its Applications 1986, Elsevier, North-Holland.
2. Chen Z., Ewing R.E. Comparison of various formulation of three-phase flow in porous media. J. Comput. Phys. 1997, 132:362-373.
3. Codina R. On stabilized finite element methods for linear systems of convection-diffusion-reaction equations. Comput. Methods Appl. Mech. Engrg. 2000, 188:61-82.
4. Codina R. Stabilized finite element approximation of transient incompressible flows using orthogonal subscales. Comput. Methods Appl. Mech. Engrg. 2002, 191(39-40):4295-4321.
5. Garikipati K., Hughes T.J.R. A variational multiscale approach to strain localization-Formulation for multidimensional problems. Comput. Methods Appl. Mech. Engrg. 2000, 188:39-60.
6. Hughes T.J.R. Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods. Comput. Methods Appl. Mech. Engrg. 1995, 127:387-401.
7. Hughes T.J.R., Mallet M. A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems. Comput. Methods Appl. Mech. Engrg. 1986, 58:305-328.
8. Juanes R. Displacement theory and multiscale numerical modeling of three-phase flow in porous media. PhD Dissertation March 2003, University of California at Berkeley.
9. Juanes R., Patzek T.W. Multiscale numerical modeling of three-phase flow. Soc. Pet. Eng. J. October 5-8 2003, SPE 84369. Submitted to.
10. Juanes R., Patzek T.W. Multiscale-stabilized finite element methods for miscible and immiscible flow in porous media. J. Hydraul. Res. 2004, (In Press).
11. Schlumberger. Eclipse Technical Description, v. 2003A.
12. Shakib F., Hughes T.J.R., Johan Z. A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 1991, 89:141-219.