]. S. Bitterlich and P. Knabner, An efficient method for solving an inverse problem for the Richards equation, Journal of Computational and Applied Mathematics, vol.147, issue.1, pp.153-173, 2002.
DOI : 10.1016/S0377-0427(02)00430-2

J. F. Bonnans, J. Ch, C. Gilbert, C. Lemaréchal, and . Sagastizábal, Numerical Optimization ? Theoretical and Practical Aspects, 2003.

C. Chardaire, G. Chavent, J. Jaffré, and J. Liu, Multiscale representation for simultaneous estimation of relative permeabilities and capillary pressure (paper SPE 20501), Proceedings of the 65th SPE Annual Technical Conference and Exhibition, 1990.

C. Chardaire, G. Chavent, J. Jaffré, and J. Liu, Relative Permeabilities and Capillary Pressure Estimation through Least Square Fitting, ECMOR I, 1st European Conference on the Mathematics of Oil Recovery, pp.721-734, 1992.
DOI : 10.3997/2214-4609.201411335

C. Chardaire, G. Chavent, J. Jaffré, J. Liu, and B. Bourbiaux, Simultaneous Estimation of Relative Permeabilities and Capillary Pressure, SPE Formation Evaluation, vol.7, issue.04, pp.283-289, 1992.
DOI : 10.2118/19680-PA

C. Chardairerivì-ere, P. Forbe, J. Zhang, G. Chavent, and R. Lenormand, Improving the centrifuge technique by measuring local saturations, paper SPE 24882, proceedings of the 67th SPE Annual Technical Conference and Exhibition, 1992.

G. Chavent, Identification of functional parameter in partial differential equations, Identification of Parameters in Distributed Systems, pp.31-48, 1974.

G. Chavent, New Size $ \times $ Curvature Conditions for Strict Quasiconvexity of Sets, SIAM Journal on Control and Optimization, vol.29, issue.6, pp.1348-1372, 1991.
DOI : 10.1137/0329069

G. Chavent, On the theory and practice of non-linear least-squares, Advances in Water Resources, vol.14, issue.2, pp.55-63, 1991.
DOI : 10.1016/0309-1708(91)90051-O

G. Chavent, Quasi-convex sets and size ??? curvature condition, application to nonlinear inversion, Applied Mathematics & Optimization, vol.4, issue.4, pp.129-169, 1991.
DOI : 10.1007/BF01447739

G. Chavent, C. Chardairerivì, and J. Zhang, Estimation of mobilities and capillary pressure from centrifuge experiments, Inverse Problems in Engineering Mechanics, pp.265-272, 1994.

G. Chavent and G. Cohen, Numerical approximation and identification in a 1-d parabolic degenerated nonlinear diffusion and transport equation, Optimization techniques : Part 1 of Lecture notes in Control and Information Sciences, pp.282-293, 1978.

G. Chavent, G. Cohen, and M. Espy, Determination of relative permeabilities nad capillary pressure by an automatic adjustment method (paper SPE 9237), Proceedings of the 1980 SPE Annual Technical Conference and Exhibition, 1980.

G. Chavent and J. Jaffré, Mathematic Models and Mixed Finite Elements for Reservoir Simulation:single phase, multiphase and multicomponent flows trough porous media, 1986.

G. Chavent, J. Jaffré, and S. Jan-jégou, Estimation of relative permeabilities in three-phase flow in porous media, Inverse Problems, vol.15, issue.1, pp.33-39, 1999.
DOI : 10.1088/0266-5611/15/1/007
URL : https://hal.archives-ouvertes.fr/hal-00955222

G. Chavent and P. Lemonnier, Identification de la non-linéarité d'une equation parabolique quasilinéaire, Appli. Math. and Optim, vol.1, issue.2, 1974.

P. Duchateau, An Inverse Problem for the Hydraulic Properties of Porous Media, SIAM Journal on Mathematical Analysis, vol.28, issue.3, pp.611-632
DOI : 10.1137/S0036141095285673

R. E. Ewing, M. S. Pilant, J. G. Wade, and A. T. Watson, Identification and control problems in petroleum and groudwater modeling, Control problems in industry of Progress in Systems and Control Theory, pp.119-149, 1995.

A. Grimstadt, K. Kolltveit, T. Mannseth, and J. Nordvedt, Assessing the validity of a linearized accuracy measure for a nonlinear parameter estimation problem, Inverse Problems, vol.17, issue.5, pp.1373-1390, 2001.
DOI : 10.1088/0266-5611/17/5/309

A. Grimstadt and T. Mannseth, Nonlinearity, Scale, and Sensitivity for Parameter Estimation Problems, SIAM Journal on Scientific Computing, vol.21, issue.6, pp.2096-2113, 2000.
DOI : 10.1137/S1064827598339104

B. Igler and P. Knabner, Structural identification of nonlinear coefficient functions in transport processers though porous media, Lectures on Applied Mathematics, pp.157-178, 2000.

D. D. Jackson, Marginal Solutions to Quasi-Linear Inverse Problems in Geophysics: The Edgehog Method, Geophysical Journal of the Royal Astronomical Society, vol.35, issue.1-3, pp.121-136, 1973.
DOI : 10.1111/j.1365-246X.1973.tb02418.x

D. D. Jackson, Most squares inversion, Journal of Geophysical Research, vol.10, issue.5, pp.1027-1030, 1976.
DOI : 10.1029/JB081i005p01027

S. Jégou, Using Maple for symbolic differentiation to solve inverse problems, Maple Tech, vol.4, pp.32-40, 1997.

P. D. Kerig and A. T. Watson, Relative permeability estimation from displacements experiments, Society of Petroleum Engineers Res. Eng, pp.175-182, 1986.

R. Larry, S. Lines, and . Treitel, Inversion with a grain of salt, Geophysics, vol.50, issue.1, pp.99-109, 1985.

G. Mejia, T. Watson, and J. Nordtvedt, Estimation of three-phase flow functions in porous media, AIChE Journal, vol.42, issue.7, pp.1957-1967, 1996.
DOI : 10.1002/aic.690420716

J. J. Moré, The Levenberg-Marquardt algorithm: Implementation and theory, Numerical Analysis, number 630 in Lecture Notes in Mathematics, pp.105-116
DOI : 10.1137/0111030

G. Naeval, T. Mannseth, K. Brusdal, and J. Nordvedt, Multiscale estimation with spline wavelets, with application to two-phase porous-media flow, Inverse Problems, vol.16, issue.2, pp.315-332, 2000.
DOI : 10.1088/0266-5611/16/2/304

J. E. Nordtvedt, G. Mejia, P. Yang, and A. T. Watson, Estimation of Capillary Pressure and Relative Permeability Functions From Centrifuge Experiments, SPE Reservoir Engineering, vol.8, issue.04, pp.292-298, 1993.
DOI : 10.2118/20805-PA

N. Z. Sun, Inverse Problems in Groundwater Modeling, 1994.
DOI : 10.1007/978-94-017-1970-4

X. Tai, Identification of a nonlinear parameter in a parabolic equation from a linear equation, Comp. Appl. Mat, vol.14, pp.157-184, 1995.

O. Vignes, Application of optimization methods in oil recovery problems The Norwegian Institute of Technology, 1993.

A. T. Watson, G. R. Gavalas, and J. H. Seinfeld, Identifiability of Estimates of Two-Phase Reservoir Properties in History Matching, Society of Petroleum Engineers Journal, vol.24, issue.06, pp.697-706, 1984.
DOI : 10.2118/12579-PA

J. Zhang, Sensibilité et stabilité dans l'estimation des perméabilités relatives et de la pression capillaire 'a partir de mesures de laboratoire, Thèse de Doctorat de l, 1994.