Modeling and numerical simulations of immiscible compressible two-phase flow in porous media by the concept of global pressure

Transport in Porous Media

Volumn 84, Issue 1, 2010, Pages 133-152

  Amaziane, Brahim ^a   Jurak, Mladen ^b   Keko, Ana Žgaljić ^c  

^a UNIVERSITÉ DE PAU ET DES PAYS DE L'ADOUR   (France)

^b UNIVERSITY OF ZAGREB   (Croatia)

^c UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

Global pressure; Immiscible compressible two phase flow; Porous media; Water hydrogen

Indexed keywords

CAPILLARY EFFECTS; COUPLED SYSTEMS; FINITE ELEMENT; FRACTIONAL FLOW; GAS MIGRATION; GASPHASE; GEOLOGICAL BARRIERS; MULTIDIMENSIONAL FLOW; NONLINEAR DIFFUSION; NUMERICAL RESULTS; NUMERICAL SIMULATION; ONE-DIMENSIONAL PROBLEM; POROUS MEDIA; PRESSURE EQUATIONS; RESERVOIR SIMULATION; SATURATION EQUATIONS; SIMPLIFIED MODELS;

COMPUTER SIMULATION; INDUSTRIAL WASTE TREATMENT; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; POROUS MATERIALS; RADIOACTIVE WASTES; TWO PHASE FLOW;

MATHEMATICAL MODELS;

ACCURACY ASSESSMENT; CAPILLARITY; COMPRESSIBLE FLOW; COMPUTER SIMULATION; COUPLING; FINITE VOLUME METHOD; FLOW MODELING; FLUID PRESSURE; HETEROGENEITY; HYDROGEN; IMMISCIBLE FLUID; NONLINEARITY; NUMERICAL MODEL; POROUS MEDIUM; TWO PHASE FLOW;

EID: 77955050795     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-009-9489-8     Document Type: Article

References (15)

1. Afif M., Amaziane B.: On convergence of finite volume schemes for one-dimensional two-phase flow in porous media. J. Comput. Appl. Math. 145, 31-48 (2002).
2. Amaziane B., Jurak M.: A new formulation of immiscible compressible two-phase flow in porous media. C. R. Mecanique 336, 600-605 (2008).
3. ANDRA: Couplex-Gaz: http://www. gdrmomas. org/ex_qualifications. html (2006). Accessed 6 October 2009.
4. Antontsev S. N., Kazhikhov A. V., Monakhov V. N.: Boundary Value Problems in Mechanics of Nonhomogeneous Fluids. North-Holland, Amsterdam (1990).
5. Bear J., Bachmat Y.: Introduction to Modeling of Transport Phenomena in Porous Media. Kluwer, London (1991).
6. Chavent, G.: A fully equivalent global pressure formulation for three-phases compressible flows. Appl. Anal. (2009). doi: 10. 1080/00036810902994276.
7. Chavent G., Jaffré J.: Mathematical Models and Finite Elements for Reservoir Simulation. North- Holland, Amsterdam (1986).
8. Chen Z., Ewing R. E.: From single-phase to compositional flow: applicability of mixed finite elements. Transp. Porous Media 27, 225-242 (1997a).
9. Chen Z., Ewing R. E.: Comparison of various formulations of three-phase flow in porous media. J. Comput. Phys. 132, 362-373 (1997b).
10. Chen Z., Huan G., Ma Y.: Computational Methods for Multiphase Flows in Porous Media. SIAM, Philadelphia (2006).
11. Galusinski C., Saad M.: Two compressible immiscible fluids in porous media. J. Differ. Equ. 244, 1741-1783 (2008).
12. Galusinski C., Saad M.: Weak solutions for immiscible compressible multifluids flows in porous media. C. R. Acad. Sci. Paris Ser. I 347, 249-254 (2009).
13. Helmig R.: Multiphase Flow and Transport Processes in the Subsurface. Springer, Berlin (1997).
14. OECD/NEA: Safety of Geological Disposal of High-level and Long-lived Radioactive Waste in France. An International Peer Review of the "Dossier 2005 Argile" Concerning Disposal in the Callovo-Oxfordian Formation. OECD Publishing (2006). http://www. nea. fr/html/rwm/reports/2006/nea6178-argile. pdf. Accessed 6 October 2009.
15. Wang C. Y.: An alternative description of viscous coupling in two-phase flow through porous media. Transp. in Porous Media 28, 205-219 (1997).