P. Ballin, R. Solano, K. B. Hird, and R. F. Voltz, New Reservoir Dynamic Connectivity Measurement for Efficient Well Placement Strategy Analysis Under Depletion, SPE Annual Technical Conference and Exhibition, 2002.
DOI : 10.2118/77375-MS

T. Charles, Experience with the Quantification of Subsurface Uncertainties, SPE Asia Pacific Oil and Gas Conference and Exhibition, 2001.
DOI : 10.2118/68703-MS

B. Cherkassky and A. Godberg, Shortest paths algorithms: Theory and experimental evaluation, Mathematical Programming, pp.129-174, 1993.
DOI : 10.1137/1.9781611970265

B. Corre and P. Thore, Integrated uncertainty assessment for project evaluation and risk analysis. SPE 65205, SPE European Petroleum Conference, 2000.

E. Fetel and G. Caumon, Reservoir flow uncertainty assessment using response surface constrained by secondary information, Journal of Petroleum Science and Engineering, vol.60, issue.3-4, pp.170-182, 2008.
DOI : 10.1016/j.petrol.2007.06.003

K. Hird and O. Dubrule, Quantification of Reservoir Connectivity for Reservoir Description Applications, SPE Reservoir Evaluation & Engineering, vol.1, issue.01, pp.12-17, 1998.
DOI : 10.2118/30571-PA

K. B. Hird and O. Dubrule, Quantification of Reservoir Connectivity for Reservoir Description Applications, SPE Reservoir Evaluation & Engineering, vol.1, issue.01, pp.12-17, 1998.
DOI : 10.2118/30571-PA

J. Hovadik and D. Larue, Static characterizations of reservoirs: refining the concepts of connectivity and continuity. Petroleum Geoscience, pp.195-211, 2007.

J. Kleppe, Material balance equations, 2011.

C. Scheidt and J. K. Caers, Representing Spatial Uncertainty Using Distances and??Kernels, Mathematical Geosciences, vol.40, issue.4, pp.397-419, 2009.
DOI : 10.1017/CBO9780511809682

J. Sethian, A fast marching level set method for monotonically advancing fronts., Proceedings of the National Academy of Sciences, vol.93, issue.4, pp.1591-1595, 1996.
DOI : 10.1073/pnas.93.4.1591

S. I. Bibliographie-aanonsen, G. Naevdal, D. S. Oliver, A. C. Reynolds, and B. , The Ensemble Kalman Filter in Reservoir Engineering--a Review, SPE Journal, vol.14, issue.03, pp.393-412, 2009.
DOI : 10.2118/117274-PA

F. G. Alabert, Constraining Description of Randomly Heterogeneous Reservoirs to Pressure Test Data: A Monte Carlo Study, SPE Annual Technical Conference and Exhibition, 1989.
DOI : 10.2118/19600-MS

J. L. Anderson, Exploring the need for localization in ensemble data assimilation using a hierarchical ensemble filter, Physica D: Nonlinear Phenomena, vol.230, issue.1-2, pp.99-111, 2007.
DOI : 10.1016/j.physd.2006.02.011

J. P. Antoine, Two-dimensional wavelets and their relatives, 2004.
DOI : 10.1017/CBO9780511543395

L. Armijo, Minimization of functions having Lipschitz continuous first partial derivatives, Pacific Journal of Mathematics, vol.16, issue.1, pp.1-3, 1966.
DOI : 10.2140/pjm.1966.16.1

G. Arpat, C. , and J. , A Multiple-scale, Pattern-based Approach to Sequential Simulation, of Quantitative Geology and Geostatistics, pp.255-264, 2004.
DOI : 10.1007/978-1-4020-3610-1_26

P. Avseth, T. Mukerji, and G. Mavko, Quantitative seismic interpretation : Applying rock physics tools to reduce interpretation risk
DOI : 10.1017/CBO9780511600074

A. A. Awotunde and R. N. Horne, A wavelet approach to adjoint state sensitivity computation for steady state differential equations, Water Resources Research, vol.26, issue.3, pp.3502-165, 2011.
DOI : 10.1029/WR022i002p00095

B. Ameur, H. Chavent, G. Jaffré, and J. , Refinement and coarsening indicators for adaptive parametrization: application to the estimation of hydraulic transmissivities, Inverse Problems, vol.18, issue.3, pp.775-816, 2002.
DOI : 10.1088/0266-5611/18/3/317

B. Ameur, H. Clément, F. Weis, P. , C. et al., The multidimensional refinement indicators algorithm for optimal parameterization, Journal of Inverse and Ill-posed Problems, vol.16, issue.2, pp.107-126, 2008.
DOI : 10.1190/1.1444349

URL : https://hal.archives-ouvertes.fr/inria-00079668

C. Bernard, Ondelettes etprobì emes mal posés : la mesure du flot optique et l'interpolationirrégulì ere, pp.42-45, 1999.

E. Bhark, A. Datta-gupta, and B. Jafarpour, Subsurface Flow Model Calibration with a Spectral-Domain Parameterization Adaptive to Grid Connectivity and Prior Model Information, Mathematical Geosciences, vol.6, issue.2, pp.673-710, 2012.
DOI : 10.2118/71313-PA

E. Bhark, B. Jafarpour, and A. Datta-gupta, An adaptively scaled frequency-domain parameterization for history matching, Journal of Petroleum Science and Engineering, vol.75, issue.3-4, pp.3-4, 2011.
DOI : 10.1016/j.petrol.2010.11.026

E. Bhark, A. Rey, A. Datta-gupta, and B. Jafarpour, A Multiscale Workflow for History Matching in Structured and Unstructured Grid Geometries, SPE Journal, vol.17, issue.03, pp.828-848, 2012.
DOI : 10.2118/141764-PA

E. W. Bhark, B. Jafarpour, and A. Datta-gupta, A generalized grid connectivity-based parameterization for subsurface flow model calibration, Water Resources Research, vol.29, issue.6, 2011.
DOI : 10.1111/j.1467-8659.2010.01655.x

M. A. Biot, Theory of Propagation of Elastic Waves in a Fluid???Saturated Porous Solid. II. Higher Frequency Range, The Journal of the Acoustical Society of America, vol.28, issue.2, pp.179-191, 1956.
DOI : 10.1121/1.1908241

URL : https://hal.archives-ouvertes.fr/hal-01368666

R. Bissell, Calculating Optimal Parameters for History Matching, ECMOR IV, 4th European Conference on the Mathematics of Oil Recovery, 1994.
DOI : 10.3997/2214-4609.201411181

F. Bonneau, V. Henrion, G. Caumon, P. Renard, and J. Sausse, A methodology for pseudo-genetic stochastic modeling of discrete fracture networks, Computers & Geosciences, vol.56, pp.0-12, 2013.
DOI : 10.1016/j.cageo.2013.02.004

URL : https://hal.archives-ouvertes.fr/hal-01291956

R. Bortfeld, SEISMIC WAVES IN A MATHEMATICAL MODEL OF THE SURFACE LAYER*, Geophysical Prospecting, vol.9, issue.3, pp.350-369, 1961.
DOI : 10.1190/1.1441817

R. Bournard, A mathematical description of total's sauternes/geosi algorithm ? cgg internal document. CGG RDI London, 2007.

S. P. Boyd and L. Vandenberghe, Convex optimization, 2004.

A. Buland, O. Kolbjørnsen, and H. Omre, Rapid spatially coupled AVO inversion in the Fourier domain, GEOPHYSICS, vol.3, issue.3, pp.824-836, 2003.
DOI : 10.1016/0167-7152(94)00162-2

A. Buland and H. Omre, Bayesian linearized AVO inversion, GEOPHYSICS, vol.50, issue.1, pp.185-198, 2003.
DOI : 10.1190/1.1444923

C. S. Burrus, R. A. Gopinath, H. Guo, J. E. Odegard, and I. W. Selesnick, Introduction to wavelets and wavelet transforms : a primer, 1998.

J. Caers, History Matching Under Training-Image-Based Geological Model Constraints, SPE Journal, vol.8, issue.03, pp.218-226, 2003.
DOI : 10.2118/74716-PA

H. Cao, Development of techniques for general purpose simulators, 2002.

S. Chatterjee, D. , and R. , Multi-scale stochastic simulation with a wavelet-based approach, Computers & Geosciences, vol.45, issue.79, pp.177-189, 2012.
DOI : 10.1016/j.cageo.2011.11.006

S. Chatterjee, R. Dimitrakopoulos, and H. Mustapha, Dimensional Reduction of Pattern-Based Simulation Using Wavelet Analysis, Mathematical Geosciences, vol.38, issue.1, pp.343-374, 2012.
DOI : 10.1007/s11004-005-9004-x

G. Chavent, Nonlinear least squares for inverse problems : theoretical foundations and step-by-step guide for applications, pp.34-41, 2009.
DOI : 10.1007/978-90-481-2785-6

M. Chen, Q. Shao, I. , and J. G. , Monte Carlo methods in Bayesian computation, 2000.
DOI : 10.1007/978-1-4612-1276-8

Y. Chen and D. S. Oliver, Cross-covariances and localization for EnKF in multiphase flow data assimilation, Computational Geosciences, vol.4, issue.2, pp.579-601, 2010.
DOI : 10.2118/56855-PA

Y. Chen and D. S. Oliver, Ensemble-Based Closed-Loop Optimization Applied to Brugge Field, SPE Reservoir Evaluation & Engineering, vol.13, issue.01, pp.56-71, 2010.
DOI : 10.2118/118926-PA

Y. Chen and D. S. Oliver, Ensemble Randomized Maximum Likelihood Method as an Iterative Ensemble Smoother, Mathematical Geosciences, vol.42, issue.3, pp.1-26, 2012.
DOI : 10.1007/s11004-010-9267-8

Y. Chen and D. S. Oliver, Multiscale parameterization with adaptive regularization for improved assimilation of nonlocal observation, Water Resources Research, vol.136, issue.2, pp.37-116, 2012.
DOI : 10.1175/2007MWR2064.1

Y. Chen and D. S. Oliver, Levenberg???Marquardt forms of the iterative ensemble smoother for efficient history matching and uncertainty quantification, Computational Geosciences, vol.4, issue.2, pp.689-703, 2013.
DOI : 10.3997/2214-4609.201405958

R. L. Claypoole, G. M. Davis, W. Sweldens, and R. G. Baraniuk, Nonlinear wavelet transforms for image coding via lifting, IEEE Transactions on Image Processing, vol.12, issue.12, pp.1449-1459, 2003.
DOI : 10.1109/TIP.2003.817237

P. Collon-drouaillet, J. Pellerin, and G. Bardy, Modeling karstic networks : introduction of speleogenetic hypothesis in stochastic simulations, H2Karst -9th Conference on Limestone Hydrogeology, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01343178

A. R. Conn, N. I. Gould, and P. L. Toint, Trust region methods, 2000.
DOI : 10.1137/1.9780898719857

M. Crouse, R. Nowak, and R. Baraniuk, Wavelet-based statistical signal processing using hidden Markov models, IEEE Transactions on Signal Processing, vol.46, issue.4, pp.886-902, 1998.
DOI : 10.1109/78.668544

J. J. Dennis and R. B. Schnabel, Numerical methods for unconstrained optimization and nonlinear equations, Siam, vol.16, pp.30-31, 1983.
DOI : 10.1137/1.9781611971200

G. Deslauriers and S. Dubuc, Symmetric iterative interpolation processes, Constructive Approximation, vol.114, issue.1, pp.49-68, 1989.
DOI : 10.1007/BF01889598

C. Deutsch, W. , and L. , Hierarchical object-based stochastic modeling of fluvial reservoirs, Mathematical Geology, vol.18, issue.2/3, pp.857-880, 1996.
DOI : 10.1007/BF02066005

D. Donoho, Compressed sensing Information Theory, IEEE Transactions on, vol.52, issue.4, pp.1289-1306, 2006.

D. L. Donoho, Smooth wavelet decompositions with blocky coefficient kernels. Recent advances in wavelet analysis, 1993.

P. Doyen, Seismic reservoir characterization : An earth modelling perspective, EAGE publications, vol.2, pp.33-152, 2007.
DOI : 10.3997/9789073781771

Y. Efendiev, T. Hou, and W. Luo, Preconditioning Markov Chain Monte Carlo Simulations Using Coarse-Scale Models, SIAM Journal on Scientific Computing, vol.28, issue.2, pp.776-803, 2006.
DOI : 10.1137/050628568

URL : http://www.math.tamu.edu/~yalchin.efendiev/papers/efendiev_062856R.pdf

A. P. Engelbrecht, Fundamentals of computational swarm intelligence, 2005.

K. Eskandaridalvand and S. Srinivasan, Reservoir Modelling of Complex Geological Systems--A Multiple-Point Perspective, Journal of Canadian Petroleum Technology, vol.49, issue.08, pp.59-68, 2010.
DOI : 10.2118/139917-PA

D. Euvrard, Résolution numérique deséquationsdeséquations aux dérivées partielles, 1994.

G. Evensen, Sequential data assimilation with a nonlinear quasigeostrophic model using monte carlo methods to forecast error statistics, Journal of Geophysical Research : Oceans, vol.99, pp.5-10143, 1994.

G. Evensen, The Ensemble Kalman Filter: theoretical formulation and practical implementation, Ocean Dynamics, vol.53, issue.4, pp.343-367, 2003.
DOI : 10.1007/s10236-003-0036-9

G. Evensen and P. J. Van-leeuwen, An Ensemble Kalman Smoother for Nonlinear Dynamics, Monthly Weather Review, vol.128, issue.6, pp.1852-1867, 2000.
DOI : 10.1175/1520-0493(2000)128<1852:AEKSFN>2.0.CO;2

J. L. Fatti, G. C. Smith, P. J. Vail, P. J. Strauss, and P. R. Levitt, Detection of gas in sandstone reservoirs using AVO analysis: A 3-D seismic case history using the Geostack technique, GEOPHYSICS, vol.59, issue.9, pp.1362-1376, 1994.
DOI : 10.1190/1.1443695

T. Feng and T. Mannseth, Improvements on a predictor???corrector strategy for parameter estimation with several data types, Inverse Problems, vol.25, issue.10, pp.105012-105032, 2009.
DOI : 10.1088/0266-5611/25/10/105012

G. Fernandez, S. Periaswamy, and W. Sweldens, LIFTPACK : A software package for wavelet transforms using lifting, Proceedings of SPIE, pp.396-56, 1996.

J. H. Ferziger and M. Peri´cperi´c, Computational methods for fluid dynamics, 1996.

P. Frykman, Geological model & fluvial environment with sand deposits, p.2014

R. Furrer and T. Bengtsson, Estimation of high-dimensional prior and posterior covariance matrices in Kalman filter variants, Journal of Multivariate Analysis, vol.98, issue.2, pp.227-255, 2007.
DOI : 10.1016/j.jmva.2006.08.003

D. Gabor, Theory of communication. part 1 : The analysis of information . Electrical Engineers -Part III : Radio and Communication Engineering, Journal of the Institution, vol.93, issue.26, pp.429-441, 1946.

G. Gao, M. Zafari, R. , and A. , Quantifying Uncertainty for the PUNQ-S3 Problem in a Bayesian Setting With RML and EnKF, SPE Journal, vol.11, issue.04, pp.506-515, 2006.
DOI : 10.2118/93324-PA

C. Gardet, M. Ravalec, and E. Gloaguen, Multiscale Parameterization of Petrophysical Properties for Efficient History-Matching, Mathematical Geosciences, vol.22, issue.1, pp.1-22, 2013.
DOI : 10.1029/WR022i002p00095

F. Gassmann, ELASTIC WAVES THROUGH A PACKING OF SPHERES, GEOPHYSICS, vol.16, issue.4, pp.673-685, 1951.
DOI : 10.1190/1.1437718

T. Gentilhomme, T. Mannseth, D. Oliver, G. Caumon, and R. Moyen, Smooth Multi-scale Parameterization for Integration of Seismic and Production Data Using Second-generation Wavelets, ECMOR XIII, 13th European Conference on the Mathematics of Oil Recovery, 2012.
DOI : 10.3997/2214-4609.20143175

T. Gentilhomme, D. S. Oliver, T. Mannseth, R. Moyen, G. Caumon et al., Multi-scale ensemble-base historymatching using second generation wavelets, Computational Geosciences, pp.7-105

T. Gentilhomme and C. Thierry, Use of quality and anomaly indicators in the qc of seismic inversion, Proc. 31st Gocad Meeting, pp.7-160, 2011.

V. Gholami and S. Mohaghegh, Intelligent Upscaling of Static and Dynamic Reservoir Properties, SPE Annual Technical Conference and Exhibition, 2009.
DOI : 10.2118/124477-MS

M. Girardi and W. Sweldens, A new class of unbalanced haar wavelets that form an unconditional basis for Lp on general measure spaces, The Journal of Fourier Analysis and Applications, vol.3, issue.3, pp.457-474, 1997.
DOI : 10.1017/CBO9780511608735

E. Gloaguen, D. , and R. , Two-dimensional Conditional Simulations Based on??the??Wavelet Decomposition of??Training Images, Mathematical Geosciences, vol.38, issue.4, pp.679-701, 2009.
DOI : 10.1007/s11004-009-9235-3

E. Gloaguen, D. , and R. , Conditional wavelet based simulation of non-stationary geologic fields using geophysical and model analogue information Advances in Orebody Modelling and Strategic Mine Planning, pp.91-100, 2010.

A. A. Grimstad, T. Mannseth, G. Naevdal, and H. A. Urkedal, Adaptive multiscale permeability estimation, Computational Geosciences, vol.7, issue.1, pp.1-25, 2003.
DOI : 10.1023/A:1022417923824

A. Grossmann and J. Morlet, Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape, SIAM Journal on Mathematical Analysis, vol.15, issue.4, pp.723-736, 1984.
DOI : 10.1137/0515056

Y. Gu and D. S. Oliver, An Iterative Ensemble Kalman Filter for Multiphase Fluid Flow Data Assimilation, SPE Journal, vol.12, issue.04, pp.438-446, 2007.
DOI : 10.2118/108438-PA

F. Guardiano and R. Srivastava, Multivariate geostatistics : Beyond bivariate moments of Quantitative Geology and Geostatistics, Geostatistics Tróia '92, pp.133-144, 1993.

T. M. Hamill, J. S. Whitaker, and C. Snyder, Distance-Dependent Filtering of Background Error Covariance Estimates in an Ensemble Kalman Filter, Monthly Weather Review, vol.129, issue.11, pp.2776-2790, 2001.
DOI : 10.1175/1520-0493(2001)129<2776:DDFOBE>2.0.CO;2

Z. Hashin and S. Shtrikman, A variational approach to the theory of the elastic behavior of multiphase materials

D. J. Heeger and J. Bergen, Pyramid-based texture analysis/synthesis, Proceedings of the 22nd annual conference on Computer graphics and interactive techniques, pp.229-238, 1995.

E. Hellinger, Neue begründung der theorie quadratischer formen von unendlichvielen veränderlichen, Journal für die reine und angewandte Mathematik, vol.136, pp.210-271, 1909.

L. Holden and B. Nielsen, Global upscaling of permeability in heterogeneous reservoirs ; the output least squares (ols) method. Transport in Porous Media, pp.115-143, 2000.

M. Honarkhah, C. , and J. , Stochastic Simulation of Patterns Using Distance-Based Pattern Modeling, Mathematical Geosciences, vol.51, issue.2, pp.487-517, 2010.
DOI : 10.1017/CBO9780511809682

P. L. Houtekamer, M. , and H. L. , A Sequential Ensemble Kalman Filter for Atmospheric Data Assimilation, Monthly Weather Review, vol.129, issue.1, pp.123-137, 2001.
DOI : 10.1175/1520-0493(2001)129<0123:ASEKFF>2.0.CO;2

L. Y. Hu, C. , and T. , Multiple-point geostatistics for modeling subsurface heterogeneity: A comprehensive review, Water Resources Research, vol.34, issue.12, pp.74-77, 2008.
DOI : 10.1007/978-1-4020-3610-1_27

B. Jafarpour, V. Goyal, D. Mclaughlin, F. , and W. , Compressed History Matching: Exploiting Transform-Domain Sparsity for Regularization of??Nonlinear Dynamic Data Integration Problems, Mathematical Geosciences, vol.3, issue.2, pp.1-27, 2010.
DOI : 10.2118/87820-PA

B. Jafarpour and D. Mclaughlin, Reservoir Characterization With the Discrete Cosine Transform, SPE Journal, vol.14, issue.01, pp.182-201, 2009.
DOI : 10.2118/106453-PA

A. Journel, A. , and F. , Non-Gaussian data expansion in the Earth Sciences, Terra Nova, vol.47, issue.2, pp.123-134, 1989.
DOI : 10.1007/BF01031292

F. Lallier, G. Caumon, J. Borgomano, S. Viseur, F. Fournier et al., Relevance of the stochastic stratigraphic well correlation approach for the study of complex carbonate settings: application to the Malampaya buildup (Offshore Palawan, Philippines), Geological Society, London, Special Publications, vol.370, issue.1, pp.265-275, 2012.
DOI : 10.1144/SP370.12

L. Li and B. Jafarpour, A sparse Bayesian framework for conditioning uncertain geologic models to nonlinear flow measurements, Advances in Water Resources, vol.33, issue.9, pp.1024-1042, 2010.
DOI : 10.1016/j.advwatres.2010.06.005

L. Li, S. Srinivasan, H. Zhou, and J. Gómez-hernández, A pilot point guided pattern matching approach to integrate dynamic data into geological modeling, Advances in Water Resources, vol.62, pp.125-138, 2013.
DOI : 10.1016/j.advwatres.2013.10.008

L. Liberti and N. Maculan, Global Optimization, From Theory to Implementation, vol.84, issue.84, 2006.
DOI : 10.1007/0-387-30528-9

URL : https://hal.archives-ouvertes.fr/hal-00163562

M. Lien, D. Brouwer, T. Mannseth, and J. Jansen, Multiscale Regularization of Flooding Optimization for Smart Field Management, SPE Journal, vol.13, issue.02, pp.195-204, 2008.
DOI : 10.2118/99728-PA

J. Liu, A Multiresolution Method for Distributed Parameter Estimation, SIAM Journal on Scientific Computing, vol.14, issue.2, pp.389-405, 1993.
DOI : 10.1137/0914024

Y. Liu and A. Journel, Improving Sequential Simulation with a Structured Path Guided by Information Content, Mathematical Geology, vol.36, issue.8, pp.945-964, 2004.
DOI : 10.1023/B:MATG.0000048800.72104.de

S. Lopez, I. Cojan, J. Rivoirard, and A. Galli, Process-Based Stochastic Modelling: Meandering Channelized Reservoirs, pp.139-144, 2009.
DOI : 10.1002/9781444303131.ch5

URL : https://hal.archives-ouvertes.fr/hal-00586449

P. Lu and R. Horne, A Multiresolution Approach to Reservoir Parameter Estimation Using Wavelet Analysis, SPE Annual Technical Conference and Exhibition, pp.41-42, 2000.
DOI : 10.2118/62985-MS

S. G. Mallat, A theory for multiresolution signal decomposition : the wavelet representation. Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol.11, issue.7, pp.674-693, 1989.

T. Mannseth, Permeability Identification from Pressure Observations: Some Foundations for Multiscale Regularization, Multiscale Modeling & Simulation, vol.5, issue.1, pp.21-44, 2006.
DOI : 10.1137/050630167

J. Mari, F. Coppens, and F. Glangeaud, Traitement du signal pour géologues et géophysiciens, Editions Technip, 1997.

G. Mariethoz and S. Lefebvre, Bridges between multiple-point geostatistics and texture synthesis: Review and guidelines for future research, Computers & Geosciences, vol.66, p.0, 2014.
DOI : 10.1016/j.cageo.2014.01.001

G. Mariethoz, P. Renard, and J. Straubhaar, The Direct Sampling method to perform multiple-point geostatistical simulations, Water Resources Research, vol.39, issue.3, pp.76-77, 2010.
DOI : 10.1029/2001WR001146

G. Matheron, Traité de géostatistique appliquée, Editions Technip, vol.1, issue.1, 1962.

R. Merland, B. Levy, C. , and G. , Voronoi Grids Conformal to 3D Structural Features, ECMOR XIII, 13th European Conference on the Mathematics of Oil Recovery, 2012.
DOI : 10.3997/2214-4609.20143224

P. Monamicq, T. Gentilhomme, C. , and G. , Efficient ranking of stochastic reservoir models : A dynamic approach suitable for natural depletion, Proc. 32nd Gocad Meeting, 2012.

D. S. Oliver, C. , and Y. , Recent progress on reservoir history matching: a review, Computational Geosciences, vol.42, issue.3, pp.185-221, 2011.
DOI : 10.2118/84461-PA

D. S. Oliver, A. C. Reynolds, and N. Liu, Inverse theory for petroleum reservoir characterization and history matching, pp.26-31, 2008.
DOI : 10.1017/CBO9780511535642

D. W. Peaceman, Fundamentals of Numerical Reservoir Simulation, 1991.

J. Pellerin, B. Levy, G. Caumon, and A. Botella, Automatic surface remeshing of 3D structural models at specified resolution: A method based on Voronoi diagrams, Computers & Geosciences, vol.62, pp.103-116, 2013.
DOI : 10.1016/j.cageo.2013.09.008

URL : https://hal.archives-ouvertes.fr/hal-01105039

L. Peters, R. Arts, G. Brouwer, C. Geel, S. Cullick et al., Results of the Brugge Benchmark Study for Flooding Optimization and History Matching, SPE Reservoir Evaluation & Engineering, vol.13, issue.03, pp.391-405, 2010.
DOI : 10.2118/119094-PA

M. J. Powell, A Direct Search Optimization Method That Models the Objective and Constraint Functions by Linear Interpolation, 1994.
DOI : 10.1007/978-94-015-8330-5_4

P. Renard and G. De-marsily, Calculating equivalent permeability: a review, Advances in Water Resources, vol.20, issue.5-6, pp.5-6, 1997.
DOI : 10.1016/S0309-1708(96)00050-4

A. C. Reynolds, N. He, L. Chu, and D. S. Oliver, Reparameterization Techniques for Generating Reservoir Descriptions Conditioned to Variograms and Well-Test Pressure Data, SPE Journal, vol.1, issue.04, pp.413-426, 1996.
DOI : 10.2118/30588-PA

P. G. Richards and K. Aki, Quantitative seismology : Theory and methods, Freeman, 1980.

P. G. Richards and C. W. Frasier, SCATTERING OF ELASTIC WAVES FROM DEPTH???DEPENDENT INHOMOGENEITIES, GEOPHYSICS, vol.41, issue.3, pp.441-458, 1976.
DOI : 10.1190/1.1440625

J. Rodrigez, Calculating derivatives for automatic history matching, Computational Geosciences, vol.15, issue.3, pp.119-136, 2006.
DOI : 10.1007/b98874

Z. Romanenko, T. Gentilhomme, C. , and G. , Multi-scale multi-point simulation using wavelet transform, 33st Gocad Meeting, pp.7-79, 2013.

C. Romero, J. Carter, A. Gringarten, and R. Zimmerman, A Modified Genetic Algorithm for Reservoir Characterisation, International Oil and Gas Conference and Exhibition in China, 2000.
DOI : 10.2118/64765-MS

G. Rongier, P. Collon-drouaillet, P. Renard, J. Straubhaar, and J. Sausse, Reproduction assessment of connected geobodies in multiple-point simulation, Proc. 33rd Gocad Meeting, pp.96-99, 2013.

I. Sahni and R. Horne, Multiresolution Wavelet Analysis for Improved Reservoir Description, SPE Reservoir Evaluation & Engineering, vol.8, issue.01, pp.53-69, 2005.
DOI : 10.2118/87820-PA

M. K. Sen, A. Datta-gupta, P. Stoffa, L. Lake, and G. Pope, Stochastic Reservoir Modeling Using Simulated Annealing and Genetic Algorithm, SPE Formation Evaluation, vol.10, issue.01, pp.49-56, 1995.
DOI : 10.2118/24754-PA

P. Shah, G. Gavalas, and J. Seinfeld, Error Analysis in History Matching: The Optimum Level of Parameterization, Society of Petroleum Engineers Journal, vol.18, issue.03, pp.219-228, 1978.
DOI : 10.2118/6508-PA

R. K. Shrestha and M. K. Boeckmann, Stochastic seismic inversion for reservoir modeling, SEG Technical Program Expanded Abstracts 2002, 2002.
DOI : 10.1190/1.1817409

E. J. Stollnitz, A. D. Derose, and D. H. Salesin, Wavelets for computer graphics : a primer, part 1. Computer Graphics and Applications, IEEE, vol.15, issue.3, pp.76-84, 1995.

E. J. Stollnitz, A. D. Derose, and D. H. Salesin, Wavelets for computer graphics: a primer. 2, IEEE Computer Graphics and Applications, vol.15, issue.4, pp.75-85, 1995.
DOI : 10.1109/38.391497

R. Stolt and A. Weglein, Migration and inversion of seismic data, GEOPHYSICS, vol.50, issue.12, pp.2458-2472, 1985.
DOI : 10.1190/1.1441877

S. Strebelle, Conditional simulation of complex geological structures using multiple-point statistics, Mathematical Geology, vol.34, issue.1, pp.1-21, 2002.
DOI : 10.1023/A:1014009426274

S. Suzuki and S. Strebelle, Real-time post-processing method to enhance multiple-point statistics simulation. Petroleum geostatistics, pp.10-14, 2007.

W. Sweldens, The Lifting Scheme: A Construction of Second Generation Wavelets, SIAM Journal on Mathematical Analysis, vol.29, issue.2, pp.511-546, 1998.
DOI : 10.1137/S0036141095289051

W. Sweldens and P. Schröder, Building your own wavelets at home, Wavelets in the Geosciences, pp.72-107, 2000.
DOI : 10.1007/BFb0011093

P. Tahmasebi, A. Hezarkhani, and M. Sahimi, Multiple-point geostatistical modeling based on the cross-correlation functions, Computational Geosciences, vol.38, issue.4, pp.779-797, 2012.
DOI : 10.1007/s11004-005-9004-x

A. Tarantola, Inverse problem theory : Methods for data fitting and model parameter estimation, pp.24-25, 1987.

E. Tillier, S. Da-veiga, and R. Derfoul, Appropriate formulation of the objective function for the history matching of seismic attributes, Computers & Geosciences, vol.51, pp.64-73, 2013.
DOI : 10.1016/j.cageo.2012.07.031

E. Tillier, L. Ravalec, M. , R. , and F. , Using time domain seismic data for history matching processes, First Break, vol.29, issue.3, pp.47-53, 2011.

T. T. Tran, Improving variogram reproduction on dense simulation grids, Computers & Geosciences, vol.20, issue.7-8, pp.7-8, 1994.
DOI : 10.1016/0098-3004(94)90069-8

C. R. Vogel, W. , and J. G. , Iterative svd-based methods for illposed problems, SIAM J. Sci. Comput, vol.15, pp.3-736, 1994.

P. Wolfe, Convergence Conditions for Ascent Methods, SIAM Review, vol.11, issue.2, pp.226-235, 1969.
DOI : 10.1137/1011036

Y. Xiong and K. Turkowski, Registration, calibration and blending in creating high quality panoramas, Applications of Computer Vision , 1998. WACV '98. Proceedings., Fourth IEEE Workshop on, pp.69-74, 1998.

¨. O. Yilmaz, Seismic data analysis, Society of Exploration Geophysicists Tulsa, vol.1, 2001.
DOI : 10.1190/1.9781560801580

F. Zhang, A. Reynolds, and D. Oliver, Evaluation of the reduction in uncertainty obtained by conditioning a 3d stochastic channel to multiwell pressure data, Mathematical Geology, vol.34, issue.6, pp.715-742, 2002.
DOI : 10.1023/A:1019805310025

T. Zhang, P. Switzer, and A. Journel, Filter-Based Classification of Training Image Patterns for Spatial Simulation, Mathematical Geology, vol.34, issue.1, pp.63-80, 2006.
DOI : 10.1007/s11004-005-9004-x

Y. Zhang and D. S. Oliver, Improving the Ensemble Estimate of the Kalman Gain by Bootstrap Sampling, Mathematical Geosciences, vol.129, issue.595, pp.327-345, 2010.
DOI : 10.1007/978-1-4899-4541-9

K. Zoeppritz, Erdbebenwellen vii. viib. ¨ Uber reflexion und durchgang seismischer wellen durch unstetigkeitsflächen. nachrichten der königlichen gesellschaft der wissenschaften zu göttingen, Mathematisch-physikalische Klasse, pp.66-84, 1919.

D. Zubarev, Pros and Cons of Applying Proxy-models as a Substitute for Full Reservoir Simulations, SPE Annual Technical Conference and Exhibition, 2009.
DOI : 10.2118/124815-MS