Construction of three-phase data to model multiphase flow in porous media: Comparing an optimization approach to the finite element approach;Construction de données triphasiques pour la modélisation des écoulements multiphasiques en milieu poreux comparaison entre une approche par optimisation et une approche par éléments finis

Comptes Rendus - Geoscience

Volumn 342, Issue 11, 2010, Pages 855-863

  di Chiara Roupert, Raphaël ^a   Schäfer, Gerhard ^a   Ackerer, Philippe ^a   Quintard, Michel ^b   Chavent, Guy ^c,d  

^a UNIVERSITÉ DE STRASBOURG EOST   (France)

^b IMFT   (France)

^c INRIA ROCQUENCOURT   (France)

^d UNIVERSITÉ PARIS DAUPHINE   (France)

Author keywords

Finite element; Global pressure Optimization; Multiphase flow; Parameterisation; Porous media

Indexed keywords

FINITE ELEMENT METHOD; FLOW MODELING; GROUNDWATER POLLUTION; MULTIPHASE FLOW; OPTIMIZATION; PARAMETERIZATION; POLLUTANT TRANSPORT; POROUS MEDIUM; THREE-DIMENSIONAL MODELING;

EID: 78649443227     PISSN: 16310713     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crte.2010.07.004     Document Type: Article

References (34)

1. Amaziane B., Jurak M. A new formulation of immiscible compressible two-phase flow in porous media. C. R. Mecanique 2008, 336:600-605.
2. Antoncev S.N., Monahov V.N. Three-dimensional problems of time-dependant two-phase filtration in non-homogeneous anisotropic porous media. Soviet Math. Doklady 1978, 19:1354-1358.
3. Baker, L.E., 1988. Three-Phase Relative Permeability Correlations, paper SPE 17369 presented at the 1988 SPE/DOE Enhanced Oil Recovery Symposium, Tulsa, Oklahoma.
4. Bano M., Loeffler O., Girard J.-F. Ground penetrating radar imaging and time-domain modelling of the infiltration of diesel fuel in a sandbox. C. R. Geoscience 2009, 341:846-858.
5. Bear J. Dynamics of Fluids in Porous Media 1972, Elsevier, New York.
6. Benremita H., Schäfer G. Transfert du trichloréthylène en milieu poreux à partir d'un panache de vapeurs. C. R. Mecanique 2003, 331:835-842.
7. Bernadou M., Hassan K. Basis functions for general Hsieh-Clough-Tocher triangles complete or reduced. Inria Research Report RR-5 1980.
8. Binning P., Celia M.A. Practical implementation of the fractional flow approach to multi-phase flow simulation. Adv. Water Resour. 1999, 22(5):461-478.
9. Bohy M., Schäfer G., Razakarisoa O. Caractérisation de zones sources de DNAPL à l'aide de traceurs bisolubles: mise en évidence d'une cinétique de partage. C. R. Geoscience 2004, 336:799-806.
10. Bohy M., Dridi L., Schäfer G., Razakarisoa O. Transport of a mixture of chlorinated solvent vapors in the vadose zone of a sandy aquifer. Vadose Zone Journal 2006, 5:539-553.
11. Byrd R., Lu P., Nocedal J., Zhu C. A limited memory algorithm for bound constrained optimization, Computer Science Department. University of Colorado at Boulder NAM-08 1994.
12. Chavent G. A Fully Equivalent Global Pressure Formulation for Three-Phase Compressible Flow. Applicable Analysis 2009, 88(10):1527-1541.
13. Chavent G., Salzano G. Un algorithme pour la détermination de perméabilités relatives triphasiques satisfaisant une condition de différentielle totale. Inria Research Report RR-0355 1985.
14. Chavent G., Jaffré J. Mathematicals Models and Finite Elements fo Reservoir Simulation, North-Holland. Amsterdam 1986.
15. Chavent G, di Chiara Roupert R, Schäfer G, 2008 A Fully Equivalent Global Pressure Formulation for Three-Phase Compressible Flows, Conference Scaling'Up 08, Dubrovnik.
16. Chen Z. Finite Element Methods and Their Applications, Scientific Computation 2005, Springer, Berlin.
17. Chen Z., Ewing R. Comparison of Various Formulations of Three-Phase Flows in Porous Media. Journal of Computational Physics 1997, 132:362-373.
18. Clough R.W., Tocher J.L. Finite element stiffness matrices for analysis of plate bending. Proceedings of the Conference on Matrix Methods in Structural Mechanics 1965, Wright Patterson A.F.B, Ohio, USA.
19. Cohen R.M., Mercer J.W. DNAPL site evaluation. CRC Press 1993, Florida, USA. C.K. Smoley (Ed.).
20. di Chiara Roupert R. Développement d'un code de calcul multiphasique multiconstituants, PhD thesis, Université de Strasbourg. France 2009.
21. di Chiara Roupert R., Chavent G., Schäfer G. Three-phase compressible flow in porous media: total Differential Compatible interpolation of relative permeabilities. Journal of Computational Physics 2010, 229:4762-4780. 10.1016/j.jcp.2010.03.013.
22. Dridi L, Pollet I., Razakarisoa O., Schäfer G. Characterisation of a DNAPL source zone in a porous aquifer using the Partitioning Interwell Tracer Test and an inverse modelling approach. Journal of Contaminant Hydrology 2009, 10.1016/j.jconhyd.2009.03.003.
23. Helmig R Multiphase flow and transport processes in the subsurface. A contribution to the modeling of hydrosystems. Springer (Environmental Engineering) 1997.
24. Jégou S. Estimation des perméabilités relatives dans des expériences de déplacements triphasiques en milieu poreux. Thése 1997, Université Paris IX Dauphine, France.
25. Nayagum D., Schäfer G., Mose R. Approximation par les éléments finis mixtes d'une équation de diffusion non linéaire modélisant un écoulement diphasique en milieu poreux. C. R. Acad. Sci Paris 2001, 239:87-90.
26. Nayagum D., Schäfer G., Mose R. Modeling two-phase incompressible flow in porous media using mixed hybrid and discontinuous finite elements. Computational Geosciences 2004, 8:49-73.
27. Nex F., Schäfer G., Côme J.M., Vogel T.M. Une approche innovante pour modéliser la biodégradation des composés organo-chlorés volatils en aquifères poreux. C. R. Geoscience 2006, 338:287-306.
28. Oak M.J., Baker L.E., Thomas D.C. Three-Phase Relative Permeability of Berea Sandstone. Journal of Petroleum Technology Trans., AIME 1990, 1054:289.
29. Parker J.C., Lenhard R.J., Kuppusami T. Parametric model for constitutive properties governing multiphase flow in porous media. Water Resour. Res. 1987, 23:618-624.
30. Quarteroni A., Sacco R., Saleri F. Méthodes Numériques - Algorithme, analyse et applications 2007, Springer, Italia.
31. Sinke A., Le Hecho I. Monitored natural attenuation: review of existing guidelines and protocols, TNO-Nicole report 1999, Apeldoorn, The Netherlands.
32. Stone H.L. Probability model for estimating three-phase relative permeabilitiy. Journal of Petroleum Technology 1970, 22:214-218.
33. Stone H.L. Estimation of Three-Phase Relative Permeability and Residual Oil Data. J. Cdn. Pet. Tech. 1973, 12.
34. Van Genuchten M.T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 1980, 44:892-989.