P. Abrahamsen, Bayesian kriging for seismic depth conversion of a multi-layer reservoir Geostatistics Troia '92, Fourth International Geostatistical Congress. Qualitative Geology and Geostatistics, vol.1, issue.5, pp.385-398, 1992.

R. V. Ackermann and R. W. Schlische, Anticlustering of small normal faults around larger faults, Geology, vol.25, issue.12, pp.1127-1130, 1997.
DOI : 10.1130/0091-7613(1997)025<1127:AOSNFA>2.3.CO;2

O. Aydin and J. K. Caers, Exploring Structural Uncertainty Using a Flow Proxy in the Depositional Domain, SPE Annual Technical Conference and Exhibition, p.170884, 2014.
DOI : 10.2118/170884-MS

&. Watterson and J. , Displacement geometry in the volume containing a single normal fault, AAPG Bulletin, vol.71, pp.925-937, 1987.

C. Bond, A. Gibbs, Z. Shipton, and S. Jones, What do you think this is? ???Conceptual uncertainty??? in geoscience interpretation, GSA Today, vol.17, issue.11, pp.4-10, 2007.
DOI : 10.1130/GSAT01711A.1

A. S. Bouziat, Vector Field Based Fault Modelling and Stratigraphic Horizons Deformation, SPE Annual Technical Conference and Exhibition, 2012.
DOI : 10.2118/160905-STU

G. Caumon, Towards Stochastic Time-Varying Geological Modeling, Mathematical Geosciences, vol.32, issue.9, pp.555-569, 2010.
DOI : 10.1007/s11004-010-9280-y

G. Caumon, A. Tertois, and L. Zhang, Elements for Stochastic Structural Perturbation of Stratigraphic Models, EAGE Conference on Petroleum Geostatistics, pp.2214-4609, 2007.
DOI : 10.3997/2214-4609.201403041

N. Cherpeau, G. Caumon, and B. Lévy, Stochastic simulation of fault networks from 2D seismic lines, SEG Technical Program Expanded Abstracts 2010, pp.2366-2370, 2010.
DOI : 10.1190/1.3513325

N. Cherpeau and &. G. Caumon, Stochastic structural modelling in sparse data situations, Petroleum Geoscience, vol.21, issue.4, pp.233-247, 2015.
DOI : 10.1144/petgeo2013-030

URL : https://hal.archives-ouvertes.fr/hal-01276852

G. , E. Cherpeau, and N. , Author's version. © 2015 The Author(s) Published by The Geological Society of London for, 2011.

N. Cherpeau, G. Caumon, J. Caers, and B. Lévy, Method for Stochastic Inverse Modeling of Fault Geometry and Connectivity Using Flow Data, Mathematical Geosciences, vol.34, issue.6, pp.147-168, 2012.
DOI : 10.1007/s11004-012-9389-2

T. Frank, A. Tertois, and J. Mallet, 3D-reconstruction of complex geological interfaces from irregularly distributed and noisy point data, Computers & Geosciences, vol.33, issue.7, pp.932-943, 2007.
DOI : 10.1016/j.cageo.2006.11.014

H. Fuchs, Z. M. Kedem, and B. F. Naylor, On visible surface generation by a priori tree structures, ACM SIGGRAPH Computer Graphics, vol.14, issue.3, pp.124-133, 1980.
DOI : 10.1145/965105.807481

F. Georgsen, P. Røe, A. R. Syversveen, and O. Lia, Fault displacement modelling using 3D vector fields, Computational Geosciences, vol.11, issue.3, pp.247-259, 2012.
DOI : 10.1007/s10596-011-9257-z

A. Guillen, P. Calcagno, G. Courrioux, A. Joly, and P. Ledru, Geological modelling from field data and geological knowledge, Physics of the Earth and Planetary Interiors, vol.171, issue.1-4, pp.158-169, 2008.
DOI : 10.1016/j.pepi.2008.06.014

URL : https://hal.archives-ouvertes.fr/hal-00532156

L. Holden, P. Mostad, B. F. Nielsen, J. Gjerde, C. Townsend et al., Stochastic Structural Modeling, Stochastic structural modeling, pp.899-914, 2003.
DOI : 10.1023/B:MATG.0000011584.51162.69

&. Sverdrup and E. , Havana?a fault modeling tool, pp.157-171, 2002.

A. D. Irving, D. Kuznetsov, E. Robert, T. Manzocchi, and C. Childs, Optimization of Uncertain Structural Parameters With Production and Observation Well Data, SPE Reservoir Evaluation & Engineering, vol.17, issue.04, pp.547-558, 2014.
DOI : 10.2118/171558-PA

S. Jayr, E. Gringarten, A. Tertois, J. Mallet, and J. Dulac, The need for a correct geological modelling support: the advent of the UVT-transform. First Break, pp.73-79, 2008.

M. W. Jessell, L. Ailleres, and E. A. De-kemp, Towards an integrated inversion of geoscientific data: What price of geology?, Tectonophysics, vol.490, issue.3-4, pp.294-306, 2010.
DOI : 10.1016/j.tecto.2010.05.020

C. Julio, G. Caumon, and M. Ford, Sampling the uncertainty associated with segmented normal fault interpretation using a stochastic downscaling method, Tectonophysics, vol.639, pp.56-67, 2014.
DOI : 10.1016/j.tecto.2014.11.013

URL : https://hal.archives-ouvertes.fr/hal-01281799

Y. Kim and D. J. Sanderson, The relationship between displacement and length of faults: a review, Earth-Science Reviews, vol.68, issue.3-4, pp.317-334, 2005.
DOI : 10.1016/j.earscirev.2004.06.003

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

G. Laurent, G. Caumon, A. Bouziat, and M. Jessell, A parametric method to model 3D displacements around faults with volumetric vector fields, Tectonophysics, vol.590, pp.83-93, 2013.
DOI : 10.1016/j.tecto.2013.01.015

URL : https://hal.archives-ouvertes.fr/hal-01301478

M. Lecour, R. Cognot, I. Duvinage, P. Thore, and J. Dulac, Modelling of stochastic faults and fault networks in a structural uncertainty study, Petroleum Geoscience, vol.7, issue.S, pp.31-42, 2001.
DOI : 10.1144/petgeo.7.S.S31

F. Lepage, Three-Dimensional Mesh Generation for the Simulation of Physical Phenomena in Geosciences, 2003.

L. Liang, D. Hale, and M. Mau?ec, Estimating fault displacements in seismic images. SEG Technical Program Expanded Abstracts, pp.1357-1361, 2010.

M. Lindsay, S. Perrouty, M. Jessell, and L. Ailleres, Inversion and Geodiversity: Searching Model Space for the Answers, Mathematical Geosciences, vol.139, issue.529, pp.971-1010, 2014.
DOI : 10.1007/s11004-014-9538-x

J. Mallet, Elements of Mathematical Sedimentary Geology: the Geochron Model, 2014.

J. Mallet and A. Tertois, Solid Earth Modeling and Geometric Uncertainties, SPE Annual Technical Conference and Exhibition, 2010.
DOI : 10.2118/134978-MS

N. Remy, A. Shtuka, B. Lévy, and J. Caers, GSTL: the geostatistical template library in C++, Computers & Geosciences, vol.28, issue.8, pp.971-979, 2002.
DOI : 10.1016/S0098-3004(02)00021-3

J. C. Rivenaes, C. Otterlei, E. Zachariassen, C. Dart, and J. Sjøholm, A 3D stochastic model integrating depth, fault and property uncertainty for planning robust wells, Njord Field, offshore Norway, Petroleum Geoscience, vol.11, issue.1, pp.57-65, 2005.
DOI : 10.1144/1354-079303-612

P. Røe, F. Georgsen, and P. Abrahamsen, An Uncertainty Model for Fault Shape and Location, Mathematical Geosciences, vol.490, issue.3???4, pp.957-969, 2014.
DOI : 10.1007/s11004-014-9536-z

A. Seiler, S. Aanonsen, G. Evensen, and J. C. Rivens, Structural Surface Uncertainty Modeling and Updating Using the Ensemble Kalman Filter, SPE Journal, vol.15, issue.04, pp.1062-1076, 2010.
DOI : 10.2118/125352-PA

R. M. Srivastava, Reservoir characterization with probability field simulation, SPE Annual Technical Conference and Exhibition, 1992.
DOI : 10.2118/24753-ms

S. Suzuki, G. Caumon, and J. Caers, Dynamic data integration for structural modeling: model screening N, Cherpeau & G. Caumon, Petroleum Geosciences, vol.21, pp.233-24710, 2008.
DOI : 10.1007/s10596-007-9063-9

A. Tarantola, Popper, Bayes and the inverse problem, Nature Physics, vol.266, issue.8, pp.492-494, 2006.
DOI : 10.1038/nphys375

P. Thore, A. Shtuka, M. Lecour, T. Ait-ettajer, and R. Cognot, Structural uncertainties: Determination, management, and applications, GEOPHYSICS, vol.67, issue.3, pp.840-852, 2002.
DOI : 10.1190/1.1484528

J. J. Walsh, W. R. Bailey, C. Childs, A. Nicol, and C. G. Bonson, Formation of segmented normal faults: a 3-D perspective, Journal of Structural Geology, vol.25, issue.8, pp.1251-1262, 2003.
DOI : 10.1016/S0191-8141(02)00161-X

J. F. Wellmann, F. G. Horowitz, E. Schill, and K. Regenauer-lieb, Towards incorporating uncertainty of structural data in 3D geological inversion, Tectonophysics, vol.490, issue.3-4, pp.141-151, 2010.
DOI : 10.1016/j.tecto.2010.04.022

J. F. Wellmann, M. Lindsay, J. Poh, and M. Jessell, Validating 3-D Structural Models with Geological Knowledge for Improved Uncertainty Evaluations, Energy Procedia, pp.374-381, 2014.
DOI : 10.1016/j.egypro.2014.10.391

G. Yielding, T. Needham, and H. Jones, Sampling of fault populations using sub-surface data: a review, Journal of Structural Geology, vol.18, issue.2-3, pp.135-146, 1996.
DOI : 10.1016/S0191-8141(96)80039-3