Construction of three-phase data to model multiphase flow in porous media: Comparing an optimization approach to the finite element approach

Amaziane, 2008, A new formulation of immiscible compressible two-phase flow in porous media, C. R. Mecanique, 336, 600, 10.1016/j.crme.2008.04.008 Antoncev, 1978, Three-dimensional problems of time-dependant two-phase filtration in non-homogeneous anisotropic porous media, Soviet Math. Doklady, 19, 1354 Baker, L.E., 1988. Three-Phase Relative Permeability Correlations, paper SPE 17369 presented at the 1988 SPE/DOE Enhanced Oil Recovery Symposium, Tulsa, Oklahoma. Bano, 2009, Ground penetrating radar imaging and time-domain modelling of the infiltration of diesel fuel in a sandbox, C. R. Geoscience, 341, 846, 10.1016/j.crte.2009.08.002 Bear, 1972 Benremita, 2003, Transfert du trichloréthylène en milieu poreux à partir d’un panache de vapeurs, C. R. Mecanique, 331, 835, 10.1016/j.crme.2003.08.006 Bernadou, 1980, Basis functions for general Hsieh-Clough-Tocher triangles complete or reduced, Inria Research Report RR-5 Binning, 1999, Practical implementation of the fractional flow approach to multi-phase flow simulation, Adv. Water Resour., 22, 461, 10.1016/S0309-1708(98)00022-0 Bohy, 2004, Caractérisation de zones sources de DNAPL à l’aide de traceurs bisolubles: mise en évidence d’une cinétique de partage, C. R. Geoscience, 336, 799, 10.1016/j.crte.2004.01.011 Bohy, 2006, Transport of a mixture of chlorinated solvent vapors in the vadose zone of a sandy aquifer, Vadose Zone Journal, 5, 539, 10.2136/vzj2005.0079 Byrd, 1994, A limited memory algorithm for bound constrained optimization, Computer Science Department, University of Colorado at Boulder NAM-08 Chavent, 2009, A Fully Equivalent Global Pressure Formulation for Three-Phase Compressible Flow, Applicable Analysis, 88, 1527, 10.1080/00036810902994276 Chavent, 1985, Un algorithme pour la détermination de perméabilités relatives triphasiques satisfaisant une condition de différentielle totale, Inria Research Report RR-0355 Chavent, 1986, Mathematicals Models and Finite Elements fo Reservoir Simulation, North-Holland, Amsterdam 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. Chen, 2005 Chen, 1997, Comparison of Various Formulations of Three-Phase Flows in Porous Media, Journal of Computational Physics, 132, 362, 10.1006/jcph.1996.5641 Clough, 1965, Finite element stiffness matrices for analysis of plate bending Cohen, 1993, DNAPL site evaluation di Chiara Roupert, 2009, Développement d’un code de calcul multiphasique multiconstituants, PhD thesis, Université de Strasbourg, France di Chiara Roupert, 2010, Three-phase compressible flow in porous media: total Differential Compatible interpolation of relative permeabilities, Journal of Computational Physics, 229, 4762, 10.1016/j.jcp.2010.03.013 Dridi, 2009, 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, 10.1016/j.jconhyd.2009.03.003 Helmig, 1997 Jégou, 1997, Estimation des perméabilités relatives dans des expériences de déplacements triphasiques en milieu poreux Nayagum, 2001, 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, 239, 87 Nayagum, 2004, Modeling two-phase incompressible flow in porous media using mixed hybrid and discontinuous finite elements, Computational Geosciences, 8, 49, 10.1023/B:COMG.0000024446.98662.36 Nex, 2006, Une approche innovante pour modéliser la biodégradation des composés organo-chlorés volatils en aquifères poreux, C. R. Geoscience, 338, 287, 10.1016/j.crte.2006.03.003 Oak, 1990, Three-Phase Relative Permeability of Berea Sandstone, Journal of Petroleum Technology Trans., AIME, 1054, 289 Parker, 1987, Parametric model for constitutive properties governing multiphase flow in porous media, Water Resour. Res., 23, 618, 10.1029/WR023i004p00618 Quarteroni, 2007 Sinke, 1999 Stone, 1970, Probability model for estimating three-phase relative permeabilitiy, Journal of Petroleum Technology, 22, 214, 10.2118/2116-PA Stone, 1973, Estimation of Three-Phase Relative Permeability and Residual Oil Data, J. Cdn. Pet. Tech., 12 Van Genuchten, 1980, A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892, 10.2136/sssaj1980.03615995004400050002x